Please write neatly and circle the answers thank you :) In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 7 units to test. Let random variable X= the number ofdefective units that are among the 7 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(X2 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) = O(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 7 units tested, and let y = f(x). Choose the correct histogram below.OA.OB.OC.OD.0 12 3b. Find P(X=1).P(X =1)= (Round to five decimal places as needed.)What does P(X = 1) represent?O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.O B. This is the probability that the first of the 7 pedometers chosen for inspection was defective.O C. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.O D. This is the probability that only 1 out of the 26 pedometers was defective.c. Find P(X2 1).P(X2 1) = (Round to five decimal places as needed.)What does P(X2 1) represent?O A. This is the probability that at least 1 out of the 26 pedometers was defective.O B. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective.O C. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.はま。

Question

Please write neatly and circle the answers thank you :) In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 7 units to test. Let random variable X= the number ofdefective units that are among the 7 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(X2 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) = O(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 7 units tested, and let y = f(x). Choose the correct histogram below.OA.OB.OC.OD.0 12 3b. Find P(X=1).P(X =1)= (Round to five decimal places as needed.)What does P(X = 1) represent?O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.O B. This is the probability that the first of the 7 pedometers chosen for inspection was defective.O C. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.O D. This is the probability that only 1 out of the 26 pedometers was defective.c. Find P(X2 1).P(X2 1) = (Round to five decimal places as needed.)What does P(X2 1) represent?O A. This is the probability that at least 1 out of the 26 pedometers was defective.O B. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective.O C. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.はま 。

Accepted Answer

Given:
K = 3, N = 26, n = 7
Let X be the number of defective units that are among the 7 units…