I need help with #2 Suppose that A and B are events such that P (A) = 1\\3 P (B)

Question

I need help with #2 Suppose that A and B are events such that P (A) = 1 P (B) = 1 and P (A|B) + P (B|A) = 2 Evaluate P (A' B'). A missile protection system consists of n radar sets operating independently, each with a probability of 0.3 detecting an aircraft entering a specified zone. (All radar sets cover the same zone.) If an airplane enters the Zone, find the probability that it will be detected under the following conditions. n = 2 n = 4 How large must n be to have a 0.999 probability of detecting an aircraft entering the zone? Let X follows a binomial distribution with mean equals 0.55 and standard deviation equals 0.7228. Find n and p. A recruiting firm finds that 30 percentage of the applicants for a certain Indus job have received advanced training in computer programming. Apple are interviewed sequentially and selected at random from the pool. Find the probability that the first applicant who has received are training in programming is found on the forth interview.

Explanation / Answer

a) n = 2

P(detecting) = 0.3

P(detecting the aeroplane) = 1 - P(not detecting)

                                           = 1 - (1 - 0.3)2

                                           = 0.51

b) n = 2

P(detecting) = 0.3

P(detecting the aeroplane) = 1 - P(not detecting)

                                           = 1 - (1 - 0.3)4

                                           = 0.7599

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