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p 2 Of interest is P(x 2 7). The table of cumulative binomial probabilities gives probability values of P(x ≤ k) for the random variable x with k successes. In order to use the table, we must modify the probability statement so that the inequality symbol s is used. Recall tha he total cumulative area for any distribution is 1. Thus, for the discrete binomial distribution, we have P(x 2 7) + P(xs X = 1.

p 2 Of interest is P(x 2 7). The table of cumulative binomial probabilities gives probability values of P(x ≤ k) for the random variable x with k successes. In order to use the table, we must modify the probability statement so that the inequality symbol s is used. Recall tha he total cumulative area for any distribution is 1. Thus, for the discrete binomial distribution, we have P(x 2 7) + P(xs X = 1.

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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Tutorial Exercise The National Hockey League (NHL) has about 70% of its players born outside the United States, and of those born outside the United States, approximately 60% were born in Canada. † Suppose that n = 15 NHL players are selected at random. Let x be the number of players in the sample born outside of the United States so that p = 0.7, and find the following probabilities. Sport Hockey Soccer Step 1 Baseball Basketball Football League NHL MLS MLB NBA NFL Percentage of Players Born Outside the USA 70% (0.739) 48% 30% 30% 3% (a) At least seven or more of the sampled players were born outside the United States. (b) Exactly nine of the players were born outside the United States. (c) Fewer than eight were born outside the United States. (a) At least seven or more of the sampled players were born outside the United States. A binomial experiment consists of n identical trials with probability of success p on each trial with the goal to find the probability of k successes. Let x be the number of NHL players in the sample of n = 15 born outside the United States. It is given that p = 0.7. Of interest is the probability that at least seven or more of the sampled players were born outside of the United States. As a probability statement, this can be written as P x Step 2 Of interest is P(x ≥ 7). The table of cumulative binomial probabilities gives probability values of P(x ≤ k) for the random variable x with k successes. In order to use the table, we must modify the probability statement so that the inequality symbol ≤ is used. Recall that the total cumulative area for any distribution is 1. Thus, for the discrete binomial distribution, we have P(x ≥ 7) + P x ≤ ]× )=:
Transcribed Image Text:Tutorial Exercise The National Hockey League (NHL) has about 70% of its players born outside the United States, and of those born outside the United States, approximately 60% were born in Canada. † Suppose that n = 15 NHL players are selected at random. Let x be the number of players in the sample born outside of the United States so that p = 0.7, and find the following probabilities. Sport Hockey Soccer Step 1 Baseball Basketball Football League NHL MLS MLB NBA NFL Percentage of Players Born Outside the USA 70% (0.739) 48% 30% 30% 3% (a) At least seven or more of the sampled players were born outside the United States. (b) Exactly nine of the players were born outside the United States. (c) Fewer than eight were born outside the United States. (a) At least seven or more of the sampled players were born outside the United States. A binomial experiment consists of n identical trials with probability of success p on each trial with the goal to find the probability of k successes. Let x be the number of NHL players in the sample of n = 15 born outside the United States. It is given that p = 0.7. Of interest is the probability that at least seven or more of the sampled players were born outside of the United States. As a probability statement, this can be written as P x Step 2 Of interest is P(x ≥ 7). The table of cumulative binomial probabilities gives probability values of P(x ≤ k) for the random variable x with k successes. In order to use the table, we must modify the probability statement so that the inequality symbol ≤ is used. Recall that the total cumulative area for any distribution is 1. Thus, for the discrete binomial distribution, we have P(x ≥ 7) + P x ≤ ]× )=:
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Step 1: State the provided information.

According to the information provided in the question, 15 NHL players are selected at random.

The probability that a randomly selected player is born outside the United States of America is given by,

p space equals space 0.7

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Step 3 By using the equation \(P(x \geq 7) + P(x \leq 6) = 1\), we can use the table of cumulative binomial probabilities to find the desired \(P(x \geq 7)\). Solving this equation for \(P(x \geq 7)\) gives \(P(x \geq 7) = 1 - P(x \leq 6)\). Recall \(p = 0.7\) and \(n = 15\). Use a table or SALT to find \(P(x \leq 6)\), rounding the result to three decimal places, and substitute to find \(P(x \geq 7)\). \[P(x \geq 7) = 1 - P(x \leq 6)\] \[= 1 - \] \[= \] Thus, the probability at least seven or more of the sampled NHL players were born outside the United States, rounded to three decimal places, is \(\underline{\hspace{2cm}}\).
Transcribed Image Text:Step 3 By using the equation \(P(x \geq 7) + P(x \leq 6) = 1\), we can use the table of cumulative binomial probabilities to find the desired \(P(x \geq 7)\). Solving this equation for \(P(x \geq 7)\) gives \(P(x \geq 7) = 1 - P(x \leq 6)\). Recall \(p = 0.7\) and \(n = 15\). Use a table or SALT to find \(P(x \leq 6)\), rounding the result to three decimal places, and substitute to find \(P(x \geq 7)\). \[P(x \geq 7) = 1 - P(x \leq 6)\] \[= 1 - \] \[= \] Thus, the probability at least seven or more of the sampled NHL players were born outside the United States, rounded to three decimal places, is \(\underline{\hspace{2cm}}\).
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