ACcording to the American Time Use Survey, Americans age 15 and over spend an average of 2.72 hourseach day watching television. The distribution of all such amounts of time spent watching television isnormally distributed with a standard deviation of 0.89 hours. Use this information to determine thefollowing two probabilities. Round solutions to four decimal places, if necessary.26.Find the probability that a single randomly American watches television more than 2.9 hours per day.P(x > 2.9) = 0.4207%3DFind the probability that the mean time spend watching television per day of a random sample of 53Americans is more than 2.9 hours.P(a > 2.9) =0.0278%3DHint: Notice that the first question refers to a single observation it's a population distribution question(Chapter 6). On the other hand, the second question refers to a sample of size 53, thus it's a samplingdistribution of a sample mean exercise (Chapter 7).

The random variable time spent watching television follows normal distribution. We have to find the…

Answered: According to the American Time Use…

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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answer part b only. it is not 29.665
Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 6.5 million visitors per day and a standard deviation of 3 million visitors per day. What is the probability that the web site has more than 1.5 million visitors in a single day? Question 3 options: 0.7545 0.5543 0.9522 0.3454
The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal and that the standard deviation is $14,000. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. %3D a. What is the distribution of X? X N( b Find the probability that the college graduate has between $21,400 and $34,250 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $
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?
Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. The breaking point of a particular type of rope is normally distributed, with a mean of 320 pounds and a standard deviation of 24 pounds. What is the probability that a piece of this ro chosen at random will have the following breaking points? (Round your answers to three decimal places.) (a) less than 290 pounds (b) between 310 and 340 pounds
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?
Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. The breaking point of a particular type of rope is normally distributed, with a mean of 320 pounds and a standard deviation of 24 pounds. What is the probability that a piece of this rc chosen at random will have the following breaking points? (Round your answers to three decimal places.) (a) less than 290 pounds 0.105 (b) between 310 and 340 pounds 0.459
In a study, 25,000 adults were randomly surveyed as to the number of grandchildren they have, X. The probability distribution is given below. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean to one decimal place and the standard deviation to two decimal places. x P(x) 0 0.01 1 0.02 2 0.02 3 0.24 4 0.35 5 0.20 6 0.07 7 0.05 8 0.02 9 0.01 10 0.01
An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1100 hours. Do NOT round off until you arrive at the FINAL ANSWER. Round off final answer to 3 decimal places example: (1.234)
Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____
A survey found that 40% of adults in the United States have a pet in their home. Use this information to find the following: a. Find the probability that when we randomly select 13 adults exactly 7 of them have a pet in their home. Round your answer to two decimal places. b. Find the mean and standard deviation for the number of adults that have a pet in their home when we randomly select 13 adults. Round your answer to two decimal places.

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