Advanced R Programming for Data Analytics in Business Week 2 Answers Nptel
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Advanced R Programming for Data Analytics in Business Week 2 Answers (July-Dec 2025)
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Question 1. A project has two stages: preparation (5, 6, or 7 weeks) and development (2, 3, or 4 weeks), equally likely. What is the probability of completing the project in exactly 8 weeks?
a) 0.11 – 0.20
b) 0.21 – 0.30
c) 0.31 – 0.40
d) 0.41 – 0.50nswer: View Answers
Question 2. The scores of students in a math test range from 0 to 100. If 50 students took the test and 10 scored 80, what is the empirical probability of a student scoring 80?
a) 0.05 – 0.15
b) 0.15 – 0.25
c) 0.25 – 0.35
d) 0.35 – 0.45
Answer: View Answers
Question 3. What is the probability of drawing two yellow balls without replacement from a bag of 20 balls (4 yellow)?
a) 0.011 – 0.020
b) 0.021 – 0.030
c) 0.031 – 0.040
d) 0.041 – 0.050
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Question 4. Hospitals H1, H2, and H3 have prior probabilities of 0.6, 0.3, and 0.1 of treating a patient. Malpractice suit probabilities are 0.002, 0.005, and 0.007 respectively. If a malpractice occurs, what’s the probability it was at H2?
a) 0.31 – 0.40
b) 0.41 – 0.50
c) 0.51 – 0.60
d) 0.61 – 0.70
Answer: View Answers
Question 5. In a game, the number of red balls drawn (denoted by random variable X) follows the distribution:
P(X=0)=0.02, P(X=1)=0.07, P(X=2)=0.32, P(X=3)=0.43, P(X=4)=0.16.
What is the expected value of the number of red balls drawn?
a) 2.21 – 2.30
b) 2.31 – 2.41
c) 2.51 – 2.60
d) 2.61 – 2.70
Answer: View Answers
Question 6. In a game, the number of red balls drawn (denoted by random variable X) follows the distribution:
P(X=0)=0.02, P(X=1)=0.07, P(X=2)=0.32, P(X=3)=0.43, P(X=4)=0.16.
Based on the same probability distribution as above, what is the variance of X, the number of red balls?
a) 0.61 – 0.70
b) 0.71 – 0.80
c) 0.81 – 0.90
d) 0.91 – 0.99
Answer: View Answers
Question 7. A pizza outlet has a mean delivery time of 12 minutes with a standard deviation of 3 minutes. What is the probability that a randomly selected delivery takes between 6 and 18 minutes?
a) 50 – 60%
b) 60 – 70%
c) 70 – 80%
d) 80 – 90%
Answer: View Answers
These are Advanced R Programming for Data Analytics in Business Week 2 Answers Nptel
Question 8. A pizza outlet has a mean delivery time of 12 minutes with a standard deviation of 3 minutes. What is the probability that a randomly selected delivery takes between 3 and 21 minutes?
a) 50 – 60%
b) 60 – 70%
c) 70 – 80%
d) 80 – 90%
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Question 9. A pizza outlet has a mean delivery time of 12 minutes with a standard deviation of 3 minutes. What is the probability that a randomly selected delivery takes between 9 and 18 minutes?
a) 50 – 60%
b) 60 – 70%
c) 70 – 80%
d) 80 – 90%
Answer: View Answers
Question 10. A pizza outlet has a mean delivery time of 12 minutes with a standard deviation of 3 minutes. What is the probability that a randomly selected delivery takes more than 12 minutes?
a) 50 – 60%
b) 60 – 70%
c) 70 – 80%
d) 80 – 90%
Answer: View Answers
These are Advanced R Programming for Data Analytics in Business Week 2 Answers Nptel