Probability And Statistics - Study Mode
[#86] Let X 1 and X 2 be two independent exponentially distributed random variables with means 0.5 and 0.25 respectively. Then Y = min (X 1 , X 2 ) is
Correct Answer
(A) exponentially distributed with mean $$frac{1}{6}$$
[#87] In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is
Correct Answer
(D) $$frac{6}{{32}}$$
[#88] If the probability that an individual suffers a bad reaction from a certain infection is 0.001, what is the probability that out of 2000 individuals, more than 2 individuals will suffer a bad reaction?
Correct Answer
(C) $$1 - frac{5}{{{{ ext{e}}^2}}}$$
[#89] A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Give that the first removed ball is white, the probability that the second removed ball is red is
Correct Answer
(C) $$frac{1}{2}$$
[#90] Considers a sequence of tossing of a fair coin where the out comes of tosses are independent. The probability of getting the head for the third time in the fifth toss is
Correct Answer
(B) $$frac{3}{{16}}$$