Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has beendetermined that the police response time has a normal distribution with a mean of 8.8 minutes and a standard deviation of 1.9 minutes. For a randomly received emergency call, find the following probabilities. (Round youranswers to four decimal places.)(a) the response time is between 5 and 10 minutes(b) the response time is less than 5 minutes(c) the response time is more than 10 minutes

The normal distribution: A continuous random variable X is said to follow normal distribution if the…

Answered: Police response time to an emergency…

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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Use this scenario to answer the next two questions. Male players at the high school, college, and professional ranks use regulation basketballs that weigh on average 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of the basketballs are approximately Normally distributed. If a regulation basketball is randomly selected, what is the probability that it will weigh between 19.5 and 22.5 ounces? O a. 0.3156 O b. 0.5478 Oc. 0.6853 O d.0.7224
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Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 10.8 minutes and a standard deviation of 1.9 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.) (a) the response time is between 7 and 12 minutes (b) the response time is less than 7 minutes (c) the response time is more than 12 minutes
Answer a, b, & c.
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.) (a) the response time is between 5 and 10 minutes (b) the response time is less than 5 minutes (c) the response time is more than 10 minutes
Storm damage can occur to homes in any given year, with the amount of damage varying randomly from year to year. Let X represent the dollar value of storm damage in a given year. It is known that in 95% of the years, X = $0, while in 5% of the years, X = $20,000. What is the expected value and standard deviation of the damage in any given year?
A study of college football games shows that the number of holding penalties assessed has a mean of 2.2 penalties per game and a standard deviation of 0.9 penalties per game. What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2.05 penalties per game or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. X S Continue acer Oll A tab ! 1 q MONICA a 2 W S # 3 e с d $ 4 r % 5 f t 6 g y & 7 h u j
The average prison sentence for a person convicted of second-degree murder is 14 years. If the sentences are normally distributed with a standard deviation of 2.3 years, find these probabilities: A prison sentence is less than 16 years. A prison sentence is greater than 18 years A prison sentence is between 16 and 18 years A prison sentence is between 12 and 17 years
A-5. In a recent survey of families, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of £95.25 and a standard deviation of £27.32. What is the probability that the average spending of a sample of 25 randomly-selected families will exceed £102.50? A. 0.0918 B. 0.4082 C. 0.1064 D. 0.3936
Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate z-value calculations to two decimal places and the final answers to at least four decimal places. Part 1 of 2 If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years. P (36 < X < 37.5) = 0.1589 Part: 1 / 2 Part 2 of 2 G If a random sample of 22 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years. Assume that the sample is taken from a large population and the correction factor can be ignored. P (36 < X <37.5) = X

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