ageht arrangements tiS IHust be Number of agent assigned an where order is impor

Question

ageht arrangements tiS IHust be Number of agent assigned an where order is important 5040 gements Find the number of agent arrangements where order is not important Number of agent arrangements 7. A certain airplane has two independent alternators to provide electrical power. The (a) What is the probability that both will fail? (Round your answer to 4 decimal places.) (b) What is the probability that neither will fail? (Round your answer to 4 decimal places. (o) What is the probability that at least one fails? (Round your answer to 4 decimal plae probability that a given alternator will fail on a one-hour flight is 02 Probability Probability Probability 8. Given the contingency table shown here, find P(42 | B). Row T 145 15 68 64 72 204 42 26 12 1-20-44 B2 14 18 32 86 47 133 B3 Col Total A).0685 B).1893 C).3721 D).1842 A company is producing two types of ski goggles. Thirty percent of the p type A, and the rest is of type B. Five percent of all type A goggles are ret days after the sale, whereas only two percent of type B are returned. If a returned within the first 10 days after the sale, the probability that theg are of type B is: 9.

Explanation / Answer

Question 7:

a) here we are given that:

P ( fail ) = 0.02

a) Probability that both will fail is computed as:

= P( fail ) * P( fail ) = 0.02*0.02 = 0.0004

Therefore 0.0004 is the required probability here.

b) Now the probability that neither will fail is computed as:

= (1 - 0.02)*(1 - 0.02) = 0.9604

Therefore 0.9604 is the required probability here.

c) Now the probability that at least one fail is computed as:

= 1 - Probability that neither fails is computed as:

=1 - 0.9604

= 0.0396

Therefore 0.0396 is the required probability here.

Question 8:

Here using bayes theorem, we get:

P( A2 | B3 ) = P( A2 and B3 ) / P( B3 ) = 32 / 169 = 0.1893

Therefore 0.1893 is the required probability here.

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