Probability And Statistics | Week 1
Course Name: Probability And Statistics
Course Link: Click Here
These are Probability And Statistics Week 1 Assignment 1 Answers
Q1) In a tuition batch of two students, probability that X will pass the exam is 1/4 and that of Y is 1/2 What is the probability that neither of X and Y will pass the exam? Assume that the outcomes of exams for X and Y are independent of each other.
(A) 1/6
(B) 1/4
(C) 7/12
(D) 5/12
Answer: (B) 1/4
Q2) Two dices are tossed together. What is the probability that the product of the number is either a prime number or is divisible by 2?
(A) 3/36
(B) 8/9
(C) 7/36
(D) 5/36
Answer: (B) 8/9
Q3) There are seven apples, five mangoes and ten guavas in a basket. Four fruits are selected at random one by one without replacement. What is the probability that first fruit drawn is a mango, second one is a guava and the third one is an apple and the fourth one is again a mango?
(A) 10/627
(B) 5/132
(C) 5/144
(D) 5/627
Answer: (D) 5/627
These are Probability And Statistics Week 1 Assignment 1 Answers
Q4) One ball is drawn at random from each of two baskets, where first basket contains 3 red and 5 black balls and second basket has 4 red and 7 black balls. What is the probability that both the balls are black?
(A) 7/30
(B) 7/60
(C) 35/88
(D) 3/22
Answer: (C) 35/88
These are Probability And Statistics Week 1 Assignment 1 Answers
Q5) A die is rolled twice independently. What is the probability that either the first throw shows a number less than or equal to 3 or the second throw shows at least 5.
(A) 5/9
(B) 7/3
(C) 2/3
(D) 1/2
Answer: (C) 2/3
Q6) From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
(A) 1/3
(B) 1/15
(C) 25/57
(D) 1/221
Answer: (D) 1/221
These are Probability And Statistics Week 1 Assignment 1 Answers
Q7) Let E₁, E₂, E3 be 3 independent events such that P(Ei) = 1 − 1/2i, i = 1,2,3. Then what is the probability that exactly two of the events occur?
(A) 31/64
(B) 10/64
(C) 3/64
(D) 7/64
Answer: (A) 31/64
Q8) Two independent events E and F are such that P(ENF) = P(E° ^ Fº) = ² and 1/ P(E)- P(F) > 0. Then P(FC)=
(A) 2/3
(B) 1/2
(C) 1/3
(D) 1/6
Answer: (A) 2/3
These are Probability And Statistics Week 1 Assignment 1 Answers
Q9) A box contains 1000 light bulbs. The probability that there is at least 1 defective bulb in the box is 0.1, and the probability that there are at least 2 defective bulbs is 0.05. Find the probability that the box contains at most 1 defective bulb?
(A) 0.25
(B) 0.48
(C) 0.95
(D) 0.60
Answer: (C) 0.95
These are Probability And Statistics Week 1 Assignment 1 Answers
Q10) Suppose = sample space of the experiment where a three faced dice is thrown with prime numbers among numbers 1-6 as the faces. Consider
A₁ = {0,0}, A₂ = {0, 0, {2,3}, {1,5}, {1,2,3,5}}, A3 = {0, 0, {1,2,3}, {4,5,6}}, A4 = {n, p, {2,5}, {3}}. Then which of the following forms a sigma field?
(A) A₁, A₂ and A3
(B) A₁ and A₂
(C) A₁ and A4
(D) A₁, A2, A3 and A4
Answer: (C) A₁ and A4
* The material and content uploaded on this website are for general information and reference purposes only. Please do it by your own first. COPYING MATERIALS IS STRICTLY PROHIBITED.
These are Probability And Statistics Week 1 Assignment 1 Answers
More Solutions of Probability And Statistics: Click Here
More NPTEL Solutions: https://progiez.com/answers/nptel/
More from PROGIEZ
