Question 6♥< >Summer high temperatures are distributed normally with a mean of 95.8 and a standard deviation of 4.a) What is the summer high temperature that is the 96th percentile of this distribution?b) What is the probability that a randomly selected summer day has a high temperature of 98?c) What is the probability that a randomly selected summer day has a high temperature greater than 98?Submit Questiond) What is the probability that a randomly selected summer day has a high temperature between 95 and97?Search

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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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The probability that Mugdho loses an armwrestling match against Snigdho is 60.0%. Let’s say, there’s no tie . Suppose they both will play 19 matches against each other . a. What is the mean number of matches where Snigdho defeats Mugdho? b. What is the standard deviation in the number of armwrestling matches that Mugdho loses? c. What is the probability that the number of matches Snigdho wins is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.
The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime of particular brand of AA batteries is 1000 hours, with a standard deviation of 100 hours. What is the probability that a randomly selected battery lasts more than 875 hours? Select one: a. 0.8716 b. 0.3749 c. 0.1056 d. 0.8944
The number of sales that a car salesperson makes per month is normally distributed with mean 15 and standard deviation 4 . a. Find the probability that a randomly selected car salesperson will sell more than 14 cars this month.b. What is the average number of cars that a group of 25 sales people must sell to be in the 90thpercentile?
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?
The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?
Traveling between EDC campus and Gulshan campus of Iqra university via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute.
Just do subpart "b"
Assume the girths (circumferences) of five year old oak trees in the Jefferson National Forest are normally distributed with a mean of 18.5 inches and a standard deviation of 3.5 inches. USING THE EMPIRICAL RULE, find the probability that a randomly selected 5 year old oak tree from the Jefferson National Forest will have a girth between 15 and 25.5 inches. Draw a diagram.
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.
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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