HBO recently published a report detailing the watch-time of all its active users. It was identified that the monthly watch-time follows a normaldistribution with a mean of 82 hours and a standard deviation of 15 hours.a. What is the probability that a randomly selected subscriber watches more than 72 hours of HBO per month?Answer in exact fraction, or rounded to at least 4 decimal places.b. What is the probability that a randomly selected subscriber watches between 45 and 105 hours of HBO per month?Answer in exact fraction, or rounded to at least 4 decimal places.c. In an attempt to increase the traffic on their platform, HBO decided to send out promotional offers to subscribers whose watch-time was below acertain value. Therefore, what should the threshold monthly watch-time be if HBO is willing to provide the promotional offer to at most 76.74% ofsubscribers?Answer in exact fraction, or rounded to at least 2 decimal places.hours

The normal distribution is the bell shaped distribution which is centred at the mean. This is also…

Answered: HBO recently published a report…

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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The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive, administrative, and managerial occupations is $26. Assume the population mean is $26 and the population standard deviation is $4. A sample of 115 individuals in executive, administrative, and managerial occupation will be selected. What is the probability that the sample mean will be greater than $27?
The average monthly cable bill in 2016 has been reported to be $92.Assume monthly cable bills follow a normal distribution with a standard deviation of $8.50. a. What is the probability that a randomly selected bill will be 4. between $85 and $95? b. Which monthly cable bill represents the 65th percentile?
7.44 Child care hours. The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. 8 for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. It, 150- 100- 50- Primary school Lower middle school Upper middle school Technical or vocational College Sum Sq Mean Sq F value Pr(>F) 0.2846 Df education 4 4142.09 1035.52 1.26 Residuals 794 653047.83 822.48 (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. (b) What is the conclusion of the hypothesis test? 7.45 Prison isolation experiment, Part II.…
LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 99 minutes and a standard deviation of 14 minutes. a. What is the probability that the new data analysts will take more than 103 minutes to learn the analysis procedure? b. What is the probability that the new data analysts will take between 65 to 134 minutes to learn the analysis procedure? c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 91.24% of new analysts?
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $17,908. Assume that the standard deviation is o = : $2,838. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $195 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals, n = 30 n = 50 п 3D 100 п 3D 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. - Select your answer - v the probability that the sample mean will be within a specified distance of the A larger sample population mean. In the automobile insurance example, the probability of being within ±195 of µ ranges from for a sample of size 30 to for a…
According to the bureau of labor statistics the average weekly pay for a U.S production worker was $441.Assume that available data indicate that production worker wages were normally disturbed with a standard deviation of $90 a.What is the probability that a worker earned between $400 and $500 per week? b.How much did a production worker have to earn per week to be in the top 20% of wages earners? c.For a randomly selected production,what is the probability the worker earned less than $250 per week?
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,772. Assume that the standard deviation is o = $2321. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $198 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n = 100 n = 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. the A larger sample increases being within +198 of ranges from probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of for a sample of size 30 to for a sample of size 400.
1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations 2.Generate a graph to describe the distribution of height and insert it below. Would you think that the assumption that height was normal is accurate? Why or why not? Are speed and height associated? Why or why not? Generate a graph or table that supports.

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