The average number of pushups a United States Marine does daily is 300, with a standard deviation of 50. Answer the following questions OR explain why the question cannot be answered. (recall that it is a good idea to identify the random variable first). a. What is the probability that a random sample of 8 Marines can average at most

The average number of pushups a United States Marine does daily is 300, with a standard deviation of 50. Answer the following questions OR explain why the question cannot be answered. (recall that it is a good idea to identify the random variable first). a. What is the probability that a random sample of 8 Marines can average at most

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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An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?
1. The top selling Red and Voss tire is rated 70,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is normally distributed random variable with a mean of 82,000 miles and standard deviation of 6400 miles. a. What is the probability that a tire wears out before 70,000 miles? b. What is the probability that a tire lasts more than 100,000 miles? NOTE: Answer the following questions stated above using the Normal Distribution Z table.(attached in the image) Compute and SHOW THE GRAPH of the answers too.
The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000. A university wants to determine how well their students in their civil engineering program get paid after graduating. They ask one class of 80 students in a course to give their salaries after graduating. What is the probability the average salary of the 80 students is between $73,000 and $77,000? 0.16 O 0.93 O 0.68 O 0.78
In the 1992 presidential election, Alaska's 40 election districts averaged 1823 votes per district for President Clinton. The standard deviation was 591. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. c. Find the probability that a randomly selected district had fewer than 1803 votes for President Clinton. d. Find the probability that a randomly selected district had between 1930 and 2120 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
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.
According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the number of students who work full time in samples of size 16. a. 3.52 b. 1.88 O c. 1.66 d. 2.75
What is the LARGEST possible value of the sample standard deviation? a. There is no largest possible value. Ob. 1,000 C. 100 O d. d. 1,000,000
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of ? b. What is the random variable in this problem? Define it in words. c. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours? d. What is the probability that the average life in the sample will be greater than 3,219.24 hours? e.Whatistheprobabilitythattheaveragelifeinthesamplewillbelessthan3,180.96 hours?
CAN YOU PLEASE ANSWER THE WHOLE THING?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
Part C only please. Thank you!