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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Answered: Summer high temperatures are…

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 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?
Suppose the heights of students in a class follows normal distribution. The mean is 66 inches and the standard deviation is 5 What is the probability that a randomly selected student height is above 69 inches? What is the probability that the height will fall in between 45-54 inches? Which of the following intermediate step is involved in finding probability that a randomly selected student height is more than 70 inches?
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 260 lbs?
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?
For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If a women aged 18-24 is randomly selected, find the probability that her mean systolic blood pressure is between 119 and 122 mm HG.answer options..a) 0.6700b)0.0833c)0.1154d) 0.9167
The time college students spend on the Internet follows a Normal distribution. At Johnson University, the mean time is 5 hours with a standard deviation of 1.2 hours. What is the probability that the average time 100 random students on campus will spend is between 1 hour and 5 hours on the Internet? 0.2 0.5
The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If the probability that a systems analyst earns a monthly income of more than $6,140 is 0.015, what is the value of the standard deviation of the monthly earnings of the computer systems analysts?
Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a.) What is the probability that a woman has a pulse rate higher than 73.2 beats per minute? b.) What pulse rate would separate the lowest 65% of women from the top 35%? c.) What is the probability that a group of 15 women has a mean pulse rate between 74.1 and 83.5 beats per minute? d.) Even though the sample size is less than thirty in part (c) of this question, why can the Central Limit Theorem still be applied? e.) If you were a doctor who is selecting pulse rates as cutoff values for determining whether further tests are needed for patients, which result is more relevant to use, part (a) or part (c)? Why?
Assume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard deviation of 24.8. Find the probability that a randomly selected adult has an IQ greater than 135.8. The probability that a randomly selected adult from this group has an IQ greater than 135.8 is?
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.
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.9918 O B. 0.0082 O C. 0.2881 O D. 0.8989 ick to select your answer. DELL

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