Suppose that any given flight of a particular kind of aircraft that the chance o

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Suppose that any given flight of a particular kind of aircraft that the chance of aileron malfunction is 0.012%... please help, I am unsure of my math with problem 10 and also need help figuring out problem 11. Thanks!

10. (3 points) Suppose that on any given flight of a particular kind of aircraft that the chance of an aileron malfunction is 0.012%. Assume (unrealistically !) that this probability never changes and that having an aileron malfunction is a random process. a) Calculate the probability that an aircraft of this kind has an aileron malfunction on its first b) Calculate the probability that an aircaft ofthis kind will ye an iem tion n i 1000th flight, given that it has already completed 999 flights without incident. c) Calculate the probability that an aircraft of this kind makes 999 flights without incident and then has an aileron malfunction on its 1000'thflight. d) Calculate the probability that an aircraft of this kind makes 1000 flights and never has an aileron malfunction. 5.714x10-6% e) Calculate the probability that an aircraft of this kind has an aileron malfunction sometime before it completes its 1000'th flight. .99% 11. (2 points) Four integrated circuits (IC's) are to be sampled for testing from a lot of 42 experimental prototypes produced a) How many different samples are possible? b) What is the probability that a particular group of 4 IC's out of the 42 produced would be the ones chosen for testing? c) Suppose that five of the 42 IC's are defective. Let x be the number of defective IC's chosen in the sample of four to be tested. Fill in the following probability distribution Mean Value r Population Variance Population Standard Deviation

Explanation / Answer

10)
a)
probability of aileron malfunction on its first flight = 0.012%/

b)
every flight is independent of other flight
hence
probability of aileron malfunction on its 1000 flight given it has completed 999 flight wothout aileron malfunction = 0.012%

c)
probability that no aileron malfunction in first 999 flights and have an aileron malfunction on 1000th flight
= (1 - 0.00012)^999 * 0.00012
= 0.00010644245
d)
probability that no aileron malfunction in first 1000 flights
= (1 - 0.00012)^1000
= 0.8869140504
e)
probability of having at least one aileron malfunction in first 1000 flights
= 1 - 0.8869140504
= 0.1130859496

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