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normally distributed, with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is a) less than $70 b) between $90 and $120 c) more than $140

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 patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and standard deviation of 1.1 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) What is the probability of spending less than 8 days in recovery? %b) What is the probability of spending more than 5 days in recovery? %c) What is the probability of spending between 5 days and 8 days in recovery? %
Fifteen randomly selected college students were asked to state the number of hours they slept the night before. The resulting data are: 6 16 7 8 7 796 3 11 9 15 4 7 9 a) Find the mean. b) Find the median. c) Find the standard deviation. d) According to Chebysev's Theorem, at least 75% of the times will fall between what two amounts? Is the theorem accurate for this set of data? Why of Why not? e) Are any of the reported hours "unusually" high? Are any of the reported hours unusually low?
17).
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
A waiterbelieves the distribution of his tips has a model that is slightly skewed to the left, with a mean of $8.60 and a standard deviation of $4.20. He usually waits on about 50 parties over a weekend of work. a) Estimate the probability that he will earn at least $450. b) How much does he earn on the best 5% of such weekends?
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Suppose that the average loan taken out by small-sized businesses from a commercial bank is $275,000. If the loan sizes are normally distributed with a standard deviation of $25,000, find each of the following: A. The probability that a small-sized business takes out a loan of more than $325,000. B. The probability that a small-sized business takes out a loan between $245,000 & $310,000.
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
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The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, Find the probability that he or she makes between $ 36,000 and $38.000 Select one: a. 0.069 O b. 0.9082 c. 0.927 O d. 0.082
According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is normally distributed with a mean of $2.39 and a standard deviation of $0.15. If you randomly pick a gas station, what is the probability the price is exactly $2.46 per gallon? A) 0.14 B) 0 C) 1 D) 0.68