1. Full-time Ph.D. students receive an average of P12837 per year. If the averagesalaries are normally distributed with a standard deviation of P1500, find theseprobabilities: (a) the student makes more than P15,000; (b) the student makesless than P12,000; (c) if there are 250 full-time Ph.D. students, how manystudents make more than P15,000? *

Answered: Image /qna-images/answer/32555525-36af-4be3-8cfb-31f118628715.jpg

Answered: 1. Full-time Ph.D. students receive an…

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 downtime per day for a certain computing facility has averaged 4.0 hours and a standard deviation of 1.98 for the last year. Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours.
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.
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
The New York Times reported that 17.2 million new cars and light trucks were sold in the United States in 2017, and the U.S. Environmental Protection Agency projects the average efficiency for these vehicles to be 25.2 miles per gallon. Assume that that the population standard deviation in miles per gallon for these automobiles is σ = 6. What is the probability a sample of 70,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean miles per gallon that is within .05 miles per gallon of the population mean of 25.2? What is the probability a sample of 70,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean miles per gallon that is within .01 miles per gallon of the population mean of 25.2? Compare this probability to the value computed in part (a).What is the probability a sample of 90,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean miles per gallon that is within .01 of…
Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
The number of auto parts that a company produces follows a normal distribution. The company has two independent production lines: Line 1 produces an average of 75 parts per day with a standard deviation of 20. Line 2 produces an average of 65 parts per day with a standard deviation of 21. Line 1 and Line 2 are independent. What is the probability that the average number of parts produced by Line 1 is greater than that produced by Line 2 in the next 5 days? O 0.3413 O 0.7794 O 0.5 O 0.6331 O 0.1587
The average prison sentence for a person convicted of second-degree murder is 14 years. If the sentences are normally distributed with a standard deviation of 2.3 years, find these probabilities: A prison sentence is less than 16 years. A prison sentence is greater than 18 years A prison sentence is between 16 and 18 years A prison sentence is between 12 and 17 years
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Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Greater than 190
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =

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