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A weapons manufacturer uses a liquid propellant that can get mixed with another liquid to produce a contaminated cartridge. A statistician found that 22% of the cartridges in the particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula shown below. Complete parts a through o. p(x) = (0.22)(0.78) -1.x= 1.2.3 . a. Find p(1). Interpret this result. P(1) = (Round to three decimal places as needed.) What is the correct interpretation for p(1)? O A. This value is the probability that one would encounter a contaminated cartridge in one hundred trials. OB. This value is the probability that one would encounter a contaminated cartridge on the first trial. OC. This value is the probability that one would encounter a non-contaminated cartridge on the first trial. b. Find p(5). Interpret this result. p(5) = (Round to three decimal places as needed.) What is the correct interpretation for p(5)? O A. This value is the probability that one would first encounter a non-contaminated cartridge on the fifth trial. OB. This value is the probability that one would first encounter 5 contaminated cartridge in one hundred trials Oc. This value is the probability that one would first encounter a contaminated cartridge on the fifth trial. c. Find P(x2 2). Interpret this result. P(x2 2) (Round to three decimal places as needed.) What is the correct interpretation for P(x 2)? O A. This value is the probability that one would first encounter a contaminated cartridge on the first trial O B. This value is the probability that one would first encounter a contaminated cartridge on the second trial Oc. This value is the probability that one would first encounter a contaminated cartridge on at least one of the remaining trials after the first was attempted.

A weapons manufacturer uses a liquid propellant that can get mixed with another liquid to produce a contaminated cartridge. A statistician found that 22% of the cartridges in the particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula shown below. Complete parts a through o. p(x) = (0.22)(0.78) -1.x= 1.2.3 . a. Find p(1). Interpret this result. P(1) = (Round to three decimal places as needed.) What is the correct interpretation for p(1)? O A. This value is the probability that one would encounter a contaminated cartridge in one hundred trials. OB. This value is the probability that one would encounter a contaminated cartridge on the first trial. OC. This value is the probability that one would encounter a non-contaminated cartridge on the first trial. b. Find p(5). Interpret this result. p(5) = (Round to three decimal places as needed.) What is the correct interpretation for p(5)? O A. This value is the probability that one would first encounter a non-contaminated cartridge on the fifth trial. OB. This value is the probability that one would first encounter 5 contaminated cartridge in one hundred trials Oc. This value is the probability that one would first encounter a contaminated cartridge on the fifth trial. c. Find P(x2 2). Interpret this result. P(x2 2) (Round to three decimal places as needed.) What is the correct interpretation for P(x 2)? O A. This value is the probability that one would first encounter a contaminated cartridge on the first trial O B. This value is the probability that one would first encounter a contaminated cartridge on the second trial Oc. This value is the probability that one would first encounter a contaminated cartridge on at least one of the remaining trials after the first was attempted.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A weapons manufacturer uses a liquid propellant that can get mixed with another liquid contaminated one. Let x be the number of cartridges sampled until a contaminated one produce a contaminated cartridge. A statistician found that 22% of the cartridges in the particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a found. It is known that the probability distribution for x is given by the formula shown below. Complete parts a through c. p(x) = (0.22)(0.78)* -1, x= 1, 2,3 .. a. Find p(1). Interpret this result. p(1) = (Round to three decimal places as needed.) What is the correct interpretation for p(1)? O A. This value is the probability that one would encounter a contaminated cartridge in one hundred trials. O B. This value is the probability that one would encounter a contaminated cartridge on the first trial. OC. This value is the probability that one would encounter a non-contaminated cartridge on the first trial. b. Find p(5). Interpret this result p(5) =(Round to three decimal places as needed.) What is the correct interpretation for p(5)? O A. This value is the probability that one would first encounter a non-contaminated cartridge on the fifth trial. O B. This value is the probability that one would first encounter 5 contaminated cartridge in one hundred trials. OC. This value is the probability that one would first encounter a contaminated cartridge on the fifth trial. c. Find P(x22). Interpret this result. P(x2 2) = (Round to three decimal places as needed.) What is the correct interpretation for P(x2 2)? O A. This value is the probability that one would first encounter a contaminated cartridge on the first trial. O B. This value is the probability that one would first encounter a contaminated cartridge on the second trial. O C. This value is the probability that one would first encounter a contaminated cartridge on at least one of the remaining trials after the first was attempted.
Transcribed Image Text:A weapons manufacturer uses a liquid propellant that can get mixed with another liquid contaminated one. Let x be the number of cartridges sampled until a contaminated one produce a contaminated cartridge. A statistician found that 22% of the cartridges in the particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a found. It is known that the probability distribution for x is given by the formula shown below. Complete parts a through c. p(x) = (0.22)(0.78)* -1, x= 1, 2,3 .. a. Find p(1). Interpret this result. p(1) = (Round to three decimal places as needed.) What is the correct interpretation for p(1)? O A. This value is the probability that one would encounter a contaminated cartridge in one hundred trials. O B. This value is the probability that one would encounter a contaminated cartridge on the first trial. OC. This value is the probability that one would encounter a non-contaminated cartridge on the first trial. b. Find p(5). Interpret this result p(5) =(Round to three decimal places as needed.) What is the correct interpretation for p(5)? O A. This value is the probability that one would first encounter a non-contaminated cartridge on the fifth trial. O B. This value is the probability that one would first encounter 5 contaminated cartridge in one hundred trials. OC. This value is the probability that one would first encounter a contaminated cartridge on the fifth trial. c. Find P(x22). Interpret this result. P(x2 2) = (Round to three decimal places as needed.) What is the correct interpretation for P(x2 2)? O A. This value is the probability that one would first encounter a contaminated cartridge on the first trial. O B. This value is the probability that one would first encounter a contaminated cartridge on the second trial. O C. This value is the probability that one would first encounter a contaminated cartridge on at least one of the remaining trials after the first was attempted.
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