Question

True or False: A clothing manufacturer knows that the average amount of button flaws (broken, incorrect, or missing) for a particular shirt is 2. An inspector examines 48 shirts in an hour. Using a Poisson probability model, the probability that the inspector finds no button flaws is 0.0336 a) TRUE b) FALSE

Answer 1

Answer:  False

Step-by-step explanation:

Given : A clothing manufacturer knows that the average amount of button flaws (broken, incorrect, or missing) for a particular shirt is 2.

Then, the average number of flaws in 48 shirts = 2 x 48 =96

let x denotes the number of flaws.

Formula for Poisson probability model = $P(X= x)=\dfrac{e^{-\mu}\mu^x}{x!}$

 , where $\mu$ = Average.

Now , the probability that the inspector finds no button flaws is

$P(X= x)=\dfrac{e^{-96}(96)^0}{0!}\\\\=e^{-96}\approx0\neq0.0366$

Thus , the given statement is False.