Consider a multinomial experiment. This means the following. (Refer to screenshot)Aircraft inspectors (who specialize in mechanical engineering) report wing cracks in aircraft as nonexistent, detectable (but still functional), or critical (needs immediate repair). For a particular model of commercial jet 10 years old, history indicates 55% of the planes had no wing cracks, 40% had detectable wing cracks, and 5% had critical wing cracks. Nine planes that are 10 years old are randomly selected. What is the probability that the wings are found with the following? (Round your answers to three decimal places.)(a) 8 have no cracks, 1 has detectable cracks, and 0 have no critical cracks(b) 7 have no cracks, 1 has detectable cracks, and 1 has critical cracks Consider a multinomial experiment. This means the following.1. The trials are independent and repeated under identical conditions.2. The outcomes of each trial falls into exactly one of k > 2 categories.3. The probability that the outcomes of a single trial will fall into the ith category is p; (where i = 1, 2..., k) and remains the same for each trial. Furthermore, p, + p, + ... + Pr = 1.4. Let r; be a random variable that represents the number of trials in which the outcomes falls into category i. If you have n trials, then r, + r, + ... + r = n. The multinomial probability distribution is then thefollowing.n!P(r,, r2, rk)=!r,! ... rP1'P2^2 ... pkHow are the multinomial distribution and the binomial distribution related? For the special case k = 2, we use the notation r, = r, r, = n – r, p, = p, and p, = q. In this special case, the multinomial distributionbecomes the binomial distribution.Aircraft inspectors (who specialize in mechanical engineering) report wing cracks in aircraft as nonexistent, detectable (but still functional), or critical (needs immediate repair). For a particular model of commercial jet10 years old, history indicates 55% of the planes had no wing cracks, 40% had detectable wing cracks, and 5% had critical wing cracks. Nine planes that are 10 years old are randomly selected. What is the probability thatthe wings are found with the following? (Round your answers to three decimal places.)(a)8 have no cracks, 1 has detectable cracks, and 0 have no critical cracks(b)7 have no cracks, 1 has detectable cracks, and 1 has critical cracks

Probability that the planes had no wing cracks (p1)=0.55 Probability that the planes had…

Answered: Aircraft inspectors (who specialize in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Consider a multinomial experiment. This means the following. (Refer to screenshot)

Aircraft inspectors (who specialize in mechanical engineering) report wing cracks in aircraft as nonexistent, detectable (but still functional), or critical (needs immediate repair). For a particular model of commercial jet 10 years old, history indicates 55% of the planes had no wing cracks, 40% had detectable wing cracks, and 5% had critical wing cracks. Nine planes that are 10 years old are randomly selected. What is the probability that the wings are found with the following? (Round your answers to three decimal places.)

(a) 8 have no cracks, 1 has detectable cracks, and 0 have no critical cracks

(b) 7 have no cracks, 1 has detectable cracks, and 1 has critical cracks

Consider a multinomial experiment. This means the following.
1. The trials are independent and repeated under identical conditions.
2. The outcomes of each trial falls into exactly one of k > 2 categories.
3. The probability that the outcomes of a single trial will fall into the ith category is p; (where i = 1, 2..., k) and remains the same for each trial. Furthermore, p, + p, + ... + Pr = 1.
4. Let r; be a random variable that represents the number of trials in which the outcomes falls into category i. If you have n trials, then r, + r, + ... + r = n. The multinomial probability distribution is then the
following.
n!
P(r,, r2, rk)
=
!r,! ... rP1'P2^2 ... pk
How are the multinomial distribution and the binomial distribution related? For the special case k = 2, we use the notation r, = r, r, = n – r, p, = p, and p, = q. In this special case, the multinomial distribution
becomes the binomial distribution.
Aircraft inspectors (who specialize in mechanical engineering) report wing cracks in aircraft as nonexistent, detectable (but still functional), or critical (needs immediate repair). For a particular model of commercial jet
10 years old, history indicates 55% of the planes had no wing cracks, 40% had detectable wing cracks, and 5% had critical wing cracks. Nine planes that are 10 years old are randomly selected. What is the probability that
the wings are found with the following? (Round your answers to three decimal places.)
(a)
8 have no cracks, 1 has detectable cracks, and 0 have no critical cracks
(b)
7 have no cracks, 1 has detectable cracks, and 1 has critical cracks

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