Question

Suppose that two fair dice are rolled, What is the probability that the number shown on one will be twice the number shown on the other (hint: make a table and count). 7. Doomsday Airlines has an old propeller plane that will fly if at least one engine is working. Suppose that the probability of engine failure is 0.1 for the port engine and 0.15 for the starboard engine. Of course the engines function or fail completely independently of each other. What is the probability the plane will safely complete its next flight? 8. If P(A)-0.8 and P(B)-0.9, and the probability of at least of A or B is also 0.9, what is the probability of A given B? 9. A high school senior applies for admission to college A and college B. She estimates her acceptance probability to A is 0.7 and to B is 0.4. Acceptances to these colleges are independent events. Compute the probability she will be rejected to at least one of the colleges. 10. The probability that a randomly selected aircraft component has a surface flaw is 0.01. Components that have surface flaws are 10 times as likely to eventually exhibit a crack than components that do not have surface flaws. Give that a crack was found on a component, what is the probability that the component initially had a surface flaw?

Answer 1

solution:- C) F (1,2), (2,1), (2,4), (4,216 13,6), 16,3) Ple) = MIE 6 36 (1) 7 (7) Plsafely complete fligh) = 1- P1 Both fails) 1 - 01X0.5 = 0.985) 0.985 18) PlanP) = f(A) + PIB) - P (AWB) 0.8+0.9 - 0.9 So, P(A) = PlanB) in - PIBT 09 & I pl Rejuted by attest one) Ulcerlo = 1- Placcepted by both) nie mis 1-0.7x0.4 We = 0.72