The probability in detecting a crack in an airplane wing= probability of inspecting a plane with a wing crack (P1) x probability of inspecting the details in which a crack is located (P2) x probability of detecting the damage (P3)
Find the probability of detecting a crack if (P1=.9, P2=.8 & p3=.5)?
If 50 planes are inspected, what is the probability that at least one wing crack is detected using poisson distribution? if 5 planes inspected find probability Pr(X>=1) based on binomial distribution.
Q2). Administration reported that 185 people died in 12,438 motel and hotel fires. National death rate per 100 persons is worked out; (185/12.438)x100 = 1.5.
In a region where 100 motel/hotel fires occurred, what is the probability that the number of deaths exceeded by 2?
Q3). There are 12 strangers in a lecture hall. What is the probability that the 12 persons celebrate their birthdays in 12 different months?
Q4). Table shows number of strikes S which commenced in a week over the period 1948-1959.
S = 0 , 1 , 2 , 3+
frequency= 252,229, 109, 36
Show that the expected value of S is about 0.95. Take the average value of the (S=3+) as 4.
The solution contains detailed explanation of how to calculate probability.