Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is known that both friends' scores are approximately normally distributed, where Andy has a mean score of 150 with astandard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that their scores are independent, which of the following values is closest to the probability that Andy will have agreater score than Bob in a single game?(A) 0.16(B)(C) 0.31(D0.28E0.330.37

Answered: Image /qna-images/answer/71fcac01-9ab7-4f42-81fd-4b225c81ec56.jpg

Answered: Two friends, Andy and Bob, participate…

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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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation of 0.2 feet. A sample of 41 men’s step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.2 feet. Round your answer to 4 decimal places, if necessary.
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.8 feet and a standard deviation of 0.4 feet. A sample of 74 men’s step lengths is taken. Step 1 of 2: Find the probability that an individual man’s step length is less than 2.3 feet. Round your answer to 4 decimal places, if necessary
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
A population has an average of 50 and a standard deviation of 10. If a random sample of size 64 is drawn from this population, what is the probability that the sample mean is: Question 9 Greater than 52? Your answer should be in percent (between 0 and 100) and keep two digits after the period. So, if your answer is 13%, enter 13.00.
Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard deviation of $7,600. What is the probability that a randomly chosen customer earns less than $35,000? (Round your answer to three decimal places, eg 0.192.)
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.3 feet. A sample of 70 men’s step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
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You are a general manager of a sports franchise who is evaluating a player on your team. This player has been in the league for 10 years and has scored an average (mean) of 20 points, with a standard deviation of 7. You can assume this data is normally distributed. Using this data, answer the following questions: What is the probability that this player will score 20 points next year? You keep this player and then they do score at least 20 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not? What is the probability that this player will score at least 50 points in a given year? You keep this player and they do score 50 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not? Assume that your tests scores on college exams have an average (mean) of 70 points, a standard deviation of 10, and are normally…
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.
Of all the students, 44% own an iPhone, with a standard deviation of .03 For that same sample of 400 students, what is the probability that at least 42% of them own an iPhone?
The incomes of a certain large population of electricians follow a Normal distribution with mean $60,000 and standard deviation $6000. What is the probability that an electrician chosen at random from this population will have a salary between $54,000 and $65,000? (Give a proportion to 4 decimal places.)
In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood pressures of adult men in the United States are normally distributed with a mean of 80.5 and standard deviation of 9.9. If an adult male is selected at random, what is the probability his diastolic blood pressure is above 90? Question 2 options: 0.1782 0.8218 0.1686 0.8314

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