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Statistics MCQ - Probabilities

36 For any two events A and B

Probability

37 Which of the following is correct?

Probability

Probability

Probability

38 Given two events A and Band
P(A) = 1/4, P(B/A) = 1/2
and P(A/B) = 1/4

State that following is true?

Probability

Probability

39 Let p be the probability that a man aged y will get into an accident in a year. What is the probability that a man among n men of all aged y will get into an accident first?

Probability

40 What would be the expectation of the number of failures preceding the first success in an infinite series of independent trials with the constant probability of success p ?

Expectation of X = E(X) = average = mean

Probability

where p_i denote probability of occurrence of x_i
Let q = 1-p
Then probabilities of succession 1st, 2nd, 3rd
trials are
p, qp, q²p,......

Probability

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Question:

A man alternately tosses a coin and throw:, a dice, beginning with the coin. Then the probability that he will get a head before he gets a 5…

A. 1/4
B. 3/4
C. 4/5
D. 1/7

Correct answer: B

Explanation:

Let A be the event of getting 5 or 6P(A) = 1/3 and B be the event of getting 1,2,3,4P(B) = 2/3In order to get a 'Head' before…

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