Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standarddeviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college.Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N(b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than24,855 per year.c. Find the 80th percentile for this distribution. $(Round to the nearest dollar.)

GivenMean(μ)=26375standard deviation(σ)=6685

Answered: Private nonprofit four-year colleges…

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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Consider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.
The average driver spends $54 at the gas station each week with a standard deviation of $8. Assuming that the amount a driver spends on gas follows a normal distribution, solve for the percentage of drivers who spend: 1. More than $40? 2. Less than $30? 3. Between $30 and $40
Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 73 inches and a standard deviation of 2 inches. a. What women's height corresponds to a z-score of −1.80? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?
QUEST A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9. The top 15% of the students taking the test scored will receive a grade of B. What is the cur score?
Suppose that you are using independent samples to compare two population proportions. Fill in the blanks. a. The mean of all possible differences between the two sample proportions equals the_______.b. For large samples, the possible differences between the two samplel proportions have approximately a_________distribution.
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. W Click the icon to view the pie chart. ..... 5-9 12 10-14 23 15-19 16 20-24 18 25-29 12 30+ 4 Find an approximation for the sample mean. x= 16.6 (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. s= (Type an integer or decimal rounded to the nearest tenth as needed.)
A distribution has mean 100 and standard deviation 3. What is the largest percent of the data that is guaranteed to be between 40 and 160 93.75 96 97.44 99.75 99.99
Please answer B, C, & D.
In a normal curve, the percentage of the scores between one and two standard deviations above the mean is approximately __________. Select one: a. 14% b. 50% c. It is impossible to tell. d. 2% Clear my choice
2b please

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