Suppose the weight of linebackers in the National Football League (NFL) is normally distributed with a mean of 241 pounds and astandard deviation of 4.0 pounds.a. What is the probability that a randomly selected NFL linebacker will weight less than 250 pounds?Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to fourdecimal places.Probability=b. What is the probability that a randomly selected NFL linebacker will weight more than 235 pounds?Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to fourdecimal places.Probability=c. What is the probability that a randomly selected NFL linebacker will weight between 237 pounds and 247 pounds?Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to fourdecimal places.Probability=

Given,Mean, μ = 241 pounds.Standard deviation, σ = 4.0 pounds.Let X be a random variable represents…

Answered: Suppose the weight of linebackers in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.
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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?
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The average production cost for major movies is 63 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible 1. For the group of 35 movies, find the probability that the average production cost is between 61 and 66 million dollars

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