In a batch of 27 pedometers, 3 are believed to be defective. A quality-control e
ID: 3295070 • Letter: I
Question
In a batch of 27 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 5 units to test. Let random variable X the number of defective units that are among the 5 units tested a. Find the probability mass function f(x) P(X-x), and sketch its histogram b. Find P(X= 1). What does this number represent? c. Find P(X 2 1). What does this number represent? Using the hypergeometric probability distribution model, set up an expression that can be used to find a single ordered pair in the probability mass function f(x) = P(X = x) f(x) = P(X=x)= (Simplify your answers.) a. Find the probability mass function f(x) P(X x) f(x) = (Type an ordered pair. Use a comma to separate answers as needed. Round to five decimal places as needed.) Let x-the number of defective pedometers among the 5 units tested, and let y=f(x). Choose the correct histogram below.Explanation / Answer
total - 27
24 -undefected
3 -defected
we select 5
P(X= x) = 3Cx * 24C(5-x) /(27C5)
correct graph is C)
option C) is correct
b) option D) is correct
= (3C1 *24C4 /(27C5) = 0.39487179487
c) option D) is correct
P(X>=1) = 1 - P(X=0) = 1- (3C0 *24C5 /(27C5) = 1 -0.52649572649= 0.4735042735
Please don't forget to rate positively if you found this response helpful.
Feel free to comment on the answer if some part is not clear or you would like to be elaborated upon.
Thanks and have a good day!