A personnel director interviewing 11 senior engineers for fo

A personnel director, interviewing 11 senior engineers for four job openings, has scheduled six interviews for the first day and five for the second day of interviewing. Assume that the candidates are interviewed in random order. Let X be the number of the top four candidates who are interviewed on the first day. = Distribution code = E(x] Suppose that the probability of a male birth is 0.48. A couple wishes to have exactly two female children in their family, and they will continue to have children until this condition is fulfilled. Let X to be the number of children that they will eventually have. = Distribution code = E[M] selected}, B = {Blood Type B selected}, and C = {Ethnic Group 3 selected}. = P(A |C) accurate to 3 decimal places If the selected individual does not have Type Blood B, what is the probability that he or she is from Ethnic Group 3? = Answer accurate to 3 decimal places The following circuit operates if and only if there is a path of functional devices from left to right. Assume devices fail independently and that the probability of failure of each device is as shown. probability that the circuit operates (2 decimal place accuracy)

Solution

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FOR THIS QUESTION I WILL HELP YOU WITH NUMBER 3 AND 4

P(A/C) = 0.200

select individual does not have type blood B what is the probability that he or she is from ethnic group 3?

P ( 3 / not B ) = [P( not B / 3 ) * P(3) ] / P( not B)

P( 3 / not B ) = [(1 - 0.065)*0.500] / ( 1 - 0.091)

P ( 3 / not B ) = 0.4675 / 0.909

P ( 3 / not B ) = 0.5143

probability that the circuit operates = 1 - probability that the circuit not operates

P ( OPERATES) = 1 - [ 0.2 + 0.3*0.4]

P ( OPERATES = 0.68