**Text:**Americans receive an average of 15 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.a. What is the distribution of X? \( X \sim N(\, \_\_\_\_\_ \,, \, \_\_\_\_\_ \, ) \)b. If an American is randomly chosen, find the probability that this American will receive no more than 13 Christmas cards this year. \(\_\_\_\_\_\)c. If an American is randomly chosen, find the probability that this American will receive between 18 and 23 Christmas cards this year. \(\_\_\_\_\_\)d. 73% of all Americans receive at most how many Christmas cards? (Please enter a whole number) \(\_\_\_\_\_\)

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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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Guess that the people reside in a city have a mean score of 50 and a standard deviation of 7 on a measure of concern about the environment. Assume that these scores are normally distributed. 1. If a person is randomly selected from that city then what is the probability that he or she has a score below 25? b. If a person is randomly selected from that city then what is the probability that he or she has a score above 52? c. If a person is randomly selected from that city then what is the probability that his/her score is between 30 and 40?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 88 mph. d. 86% of all cars travel at least how fast on the freeway? mph. Submit Question
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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 108. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
A normal population has a mean of 61 and a standard deviation of 22. You select a random sample of 35. Use Appendix. for the values Compute the probability that the sample mean is (Round the final answers to 4 decimal places.) a. Greater than 64 Probability b. Less than 57. Probability c. Between 57 and 64. Probability
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 20 ✓,7 b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 21 and 25 Christmas cards this year. d. 70% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name from a sample of 166 people. Complete the table. xx CountCount 0 45 1 43 2 32 3 46 Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places. Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
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