# Nptel Data Science for Engineers Assignment 3 Answers

Are you looking for the NPTEL Data Science for Engineers Week 2 Assignment Answers 2024 (July-Dec)? Look no further! Our platform provides precise and comprehensive solutions for your Week 2 assignments in the Data Science for Engineers course.

**Course Link: Click Here**

## Table of Contents

**Nptel Data Science for Engineers Assignment 3 Answers (July-Dec 2024)**

**Q1. **Sumit wants to contact one of his friends, but he remembers only the first 9 of the 10 digits of the contact number. He is sure that the last digit of the contact number is an odd number. He selects an odd number randomly. If the random variable X

denotes the last digit of the contact number, then calculate Var(X).

5

8

33

None of the above

**Answer: **

**Q2**Suppose X∼Normal (μ, 4). For n = 20 iid samples of X, the observed sample mean is 5.2. What conclusion would a z -test reach if the null hypothesis assumes μ = 5 (against an alternative hypothesis μ≠5) at a significance level of α=0.05?

Use F−1z(0.025)=−1.9599

Accept H0

Reject H0

**Answer: **

**For answers or latest updates join our telegram channel: Click here to join **

**These are Nptel Data Science for Engineers Assignment 3 Answers**

Q3.A box contains 8 items out of which 2 are defective. A sample of 5 items is to be selected randomly (without replacement) from the box. If the random variable X

represents the number of defective items in a selection of 5 items, then find E(X)

.(Enter the answer correct to 2 decimal places)

1.25

5

0.4

1.3

**Answer: **

**Q4.**Suppose X∼ Normal(μ , 9). For n=100 iid samples of X , the observed sample mean is 11.8. What conclusion would a z-test reach if the null hypothesis assumes μ=10.5 (against an alternative hypothesis μ≠10.5)?

Accept H0

at a significance level of 0.10

.

Reject H0

at a significance level of 0.10

.

Accept H0

at a significance level of 0.05

.

Reject H0

at a significance level of 0.05

**Answer:**

**For answers or latest updates join our telegram channel: Click here to join **

**These are Nptel Data Science for Engineers Assignment 3 Answers**

**Q5. **Let X and Y be two independent random variables with Var(X) = 9 and Var(Y) = 3, find Var(4X− 2Y6).

100

140

156

None of the above

**Answer:**

**Q6.**The correlation coefficient of two random variable X and Y is 14, their variance is given by 3 and 5. Compute Cov(X,Y).

-0.854

0.561

-0.968

None of the above

**Answer: **

**For answers or latest updates join our telegram channel: Click here to join **

**These are Nptel Data Science for Engineers Assignment 3 Answers**

**Q7.**When will you reject the Null hypothesis?

p value greater than α

p value less than α

p value equal to α

None of the above

**Answer: **

**Q8. **A sample of N observations are independently drawn from a normal distribution. The sample variance follows

Normal distribution

Chi-square with N degrees of freedom

Chi-square with N − 1 degrees of freedom

t-distribution with N− 1 degrees of freedom

**Answer: **

**For answers or latest updates join our telegram channel: Click here to join **

**These are Nptel Data Science for Engineers Assignment 3 Answers**

**Q9. **A car manufacturer purchases car batteries from two different suppliers. Supplier X

provides 55% of the batteries and supplier Y provides the rest. 5% of all batteries from supplier X

are defective and 4% of all batteries from supplier Y are defective. You select a battery from the bulk and you found it to be defective. What is the probability that it is from Supplier X?

0.0455

0.455

0.604

0.018

**Answer: **

**Q10. **Which one of the following is best measure of central tendency for categorical data?

Mean

Median

Mode

None of the above

**Answer: **

**For answers or latest updates join our telegram channel: Click here to join **

**These are Nptel Data Science for Engineers Assignment 3 Answers**

All Weeks of Data Science for Engineers: Click here

For answers to additional Nptel courses, please refer to this link: Check here

**Nptel Data Science for Engineers Assignment 3 Answers (Jan-Apr 2024)**

**Course Name: Data Science for Engineers**

**Course Link: Click Here**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q1. Sumit wants to contact one of his friends, but he remembers only the first 9 of the 10 digits of the contact number. He is sure that the last digit of the contact number is an odd number. He selects an odd number randomly. If the random variable X denotes the last digit of the contact number, then calculate Var(X).**

5

8

33

None of the above

**Answer: 8**

**Q2. Suppose X∼Normal (μ,4). For n=20 iid samples of X, the observed sample mean is 5.2. What conclusion would a z-test reach if the null hypothesis assumes μ=5(against an alternative hypothesis μ≠5) at a significance level of α=0.05? Use F−1z(0.025)=−1.9599**

Accept H0

Reject H0

**Answer: Accept H0**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q3. A box contains 8 items out of which 2 are defective. A sample of 5 items is to be selected randomly (without replacement) from the box. If the random variable X represents the number of defective items in a selection of 5 items, then find E(X).(Enter the answer correct to 2 decimal places)**

1.25

5

0.25

1

**Answer:**

**Q4. Suppose X∼Normal(μ,9). For n=100 iid samples of X, the observed sample mean s 11.8. What conclusion would a z-test reach if the null hypothesis assumes μ=10.5(against an alternative hypothesis μ≠10.5)?**

Accept H0 at a significance level of 0.10.

Reject H0 at a significance level of 0.10.

Accept H0 at a significance level of 0.05.

Reject H0 at a significance level of 0.05.

**Answer: a, d**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q5. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3, find Var(4X−2Y+6).**

100

140

156

None of the above

**Answer: 156**

**Q6. The correlation coefficient of two random variable X and Y is 14, their variance is given by 3 and 5. Compute Cov(X,Y).**

-0.854

0.561

-0.968

None of the above

**Answer: -0.968**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q7. When will you reject the Null hypothesis?**

p value greater than α

p value less than α

p value equal to α

None of the above

**Answer: p value less than α**

**Q8. A sample of N observations are independently drawn from a normal distribution. The sample variance follows**

Normal distribution

Chi-square with N degrees of freedom

Chi-square with N−1 degrees of freedom

t-distribution with N−1 degrees of freedom

**Answer: Chi-square with N−1 degrees of freedom**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q9. A car manufacturer purchases car batteries from two different suppliers. Supplier X provides 55% of the batteries and supplier Y rovides the rest. 5% of all batteries from supplier X are defective and 4% of all batteries from supplier Y are defective. You select a battery from the bulk and you found it to be defective. What is the probability that it is from Supplier X?**

0.0455

0.455

0.0275

0.018

**Answer: 0.0275**

**Q10. Which one of the following is best measure of central tendency for categorical data?**

Mean

Median

Mode

None of the above

**Answer: Mode**

**For answers or latest updates join our telegram channel: Click here to join**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

More Solutions of Data Science for Engineers: Click Here

More Nptel Courses: Click here

**Nptel Data Science for Engineers Assignment 3 Answers (July-Dec 2023**)

**Course Name: Data Science for Engineers**

**Course Link: Click Here**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

A six sided die is marked ‘1’ on one face, ‘2’ on two of its faces, and ‘3’ on the remaining three faces. The die is thrown twice. Let X denotes the total score in two throws.

Based on the above information, answer questions (1), (2).

**Q1. Find the value of P(X>2.5|X<5). (Enter the answer correct to 2 decimal places).**

**Answer: (Type: Range) 0.80,0.94**

**Q2. Find the expected value of X.**

**Answer: (Type: Range) 4,4.7**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

**Q3. Suppose X∼ Normal(μ,4). For n=20 iid samples of X, the observed sample mean is 5.2. What conclusion would a z-test reach if the null hypothesis assumes μ=5(against an alternative hypothesis μ≠5) at a significance level of α=0.05? Use F−1z(0.025)=−1.9599**

Accept H0

Reject H0

**Answer: Accept H0**

**Q4. A pharmaceutical company is testing a new drug. The probability that a patient experiencing a side effect from this drug is 0.10. If the drug is given to 5 patients, what is the probability that more than 1 patient will experience the side effect? (Enter the answer correct to 2decimal places.)**

**Answer: (Type: Range) 0.05,0.11**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

**Q5. Suppose X∼Normal(μ,9). For n=100 iid samples of X, the observed sample mean is 11.8. What conclusion would a z-test reach if the null hypothesis assumes μ=10.5(against an alternative hypothesis μ≠10.5)?**

Accept H0 at a significance level of 0.10.

Reject H0 at a significance level of 0.10.

Accept H0 at a significance level of 0.05.

Reject H0 at a significance level of 0.05.

**Answer: b, c**

**Q6. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3, find Var(4X−2Y+6).**

100

140

156

None of the above

**Answer: 156**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

**Q7. The correlation coefficient of two random variable X and Y is −14, their variance is given by 3 and 5. Compute Cov(X,Y).**

-0.854

0.561

-0.968

None of the above

**Answer: None of the above**

**Q8. A sample of N observations are independently drawn from a normal distribution. The sample variance follows**

Normal distribution

Chi-square with N degrees of freedom

Chi-square with N−1 degrees of freedom

t -distribution with N−1 degrees of freedom

**Answer: Chi-square with N−1 degrees of freedom**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

**Q9. A car manufacturer purchases car batteries from two different suppliers. Supplier X provides 55% of the batteries and supplier Y provides the rest. 5% of all batteries from supplier X are defective and 4% of all batteries from supplier Y are defective. You select a battery from the bulk and you found it to be defective. What is the probability that it is from Supplier X?**

0.0455

0.455

0.0275

0.018

**Answer: 0.0275**

**Q10. Find the t -statistic for the sample data, given that the population mean of the distribution is 8.**

-3.155

8.33

-2.99

None of the above

**Answer: None of the above**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

More Solutions of Data Science for Engineers: Click Here

More Nptel Courses: Click here

**Nptel Data Science for Engineers Assignment 3 Answers (Jan-Apr 2023**)

**Course Name: Data Science for Engineers**

**Course Link: Click Here**

**These are NPTEL Data Science for Engineers Assignment 3 Answers**

**Q1. Sumit wants to contact one of his friends, but he remembers only the first 9 of the 10 digits of the contact number. He is sure that the last digit of the contact number is an odd number. He selects an odd number randomly. If the random variable X denotes the last digit of the contact number, then calculate Var(X).**

a. 5

b. 8

c. 33

d. None of the above

**Answer: b. 8**

**Q2. Suppose X∼Normal(µ,4). For n=20 iid samples of X, the observed sample mean is 5.2. What conclusion would a z-test reach if the null hypothesis assumes µ=5 (against an alternative hypothesis µ≠5) at a significance level of α=0.05?Use F−1z(0.025)=−1.9599**

a. Accept H0

b. Reject H0

**Answer: a. Accept H0**

**These are Nptel Data Science for Engineers Week 3 Assignment Answers**

**Q3. A box contains 8 items out of which 2 are defective. A sample of 5 items is to be selected randomly (without replacement) from the box. If the random variable X represents the number of defective items in a selection of 5 items, then find E(X).(Enter the answer correct to 2 decimal places)**

a. 1.25

b. 5

**Answer: a. 1.25**

**Q4. Suppose X∼Normal(μ,9). For n=100 iid samples of X, the observed sample mean is 11.8. What conclusion would a z-test reach if the null hypothesis assumes μ=10.5(against an alternative hypothesis μ≠10.5)?**

a. Accept H0 at a significance level of 0.10.

b. Reject H0 at a significance level of 0.10.

c. Accept H0 at a significance level of 0.05.

d. Reject H0 at a significance level of 0.05.

**Answer: d. Reject H0 at a significance level of 0.05.**

These are Nptel Data Science for Engineers Week 3 Assignment Answers

**Q5. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3, find Var(4X−2Y+6).**

a. 100

b. 140

c. 156

d. None of the above

**Answer: c. 156**

**Q6. The correlation coefficient of two random variable X and Y is 14, their variance is given by 3 and 5. Compute Cov(X,Y).**

a. -0.854

b. 0.561

c. -0.968

d. None of the above

**Answer: d. None of the above**

These are Nptel Data Science for Engineers Week 3 Assignment Answers

**Q7. When will you reject the Null hypothesis?**

a. p value greater than α

b. p value less than α

c. p value equal to α

d. None of the above

**Answer: b. p value less than α**

**Q8. A sample of N observations are independently drawn from a normal distribution. The sample variance follows**

a. Normal distribution

b. Chi-square with N degrees of freedom

c. Chi-square with N−1 degrees of freedom

d. t-distribution with N−1 degrees of freedom

**Answer: c. Chi-square with N−1 degrees of freedom**

These are Nptel Data Science for Engineers Week 3 Assignment Answers

**Q9. A car manufacturer purchases car batteries from two different suppliers. Supplier X provides 55% of the batteries and supplier Y provides the rest. 5% of all batteries from supplier X are defective and 4% of all batteries from supplier Y are defective. You select a battery from the bulk and you found it to be defective. What is the probability that it is from Supplier X?**

a. 0.0455

b. 0.455

c. 0.0275

d. 0.018

**Answer: b. 0.455**

These are Nptel Data Science for Engineers Week 3 Assignment Answers

**Q10. Which one of the following is best measure of central tendency for categorical data?**

a. Mean

b. Median

c. Mode

d. None of the above

**Answer: c. Mode**

These are Nptel Data Science for Engineers Week 3 Assignment Answers

More Solutions of Data Science for Engineers: Click Here

More NPTEL Solutions: https://progiez.com/nptel-assignment-answers/