In a batch of 21 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let

Question

In a batch of 21 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X= the number of defective units that are among the 6 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≥ 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 6 units tested, and let y=f(x). Choose the correct histogram below.

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