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(x, y) = a[1 + xy] in the rectangle 0 lessthanorequalto y lessthanorequalto 1; 0

ID: 3236540 • Letter: #

Question

(x, y) = a[1 + xy] in the rectangle 0 lessthanorequalto y lessthanorequalto 1; 0 lessthanorequalto x lessthanorequalto 1 What is the probability that 0 lessthanorequalto y lessthanorequalto 1/2 given that x = 1/2 i.e. P[0 lessthanorequalto y lessthanorequalto 1/2/x = 1/2] A. 0.40 B. 0.45 C. 0.50 D. 0.55 E. 0.60 A cat has a litter of 7 kittens. If the probability is 0.52 that a kitten will be female, what is the probability that exactly 2 of the seven will be male? A. 0.145 B. 0.072 C. 0.236 D. 0.486 E. 0.184

Explanation / Answer

probability of female=0.52

male= 1-0.52=0.48

probability of exactly 2 of them male=p(x=2)

=7c2*(0.48)^2*(0.52)^5

=21*0.2304*0.0380

=0.1840

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