The number of customers visiting a store during a day is a random variable with mean EX = 100and variance Var(X) = 225.1. Using Chebyshev's inequality, find an upper bound for having more than 120 or less than 80customers in a day. That is, find an upper bound onP(X ≤ 80 or X ≥ 120).2. Using the one-sided Chebyshev inequality (Problem 21), find an upper bound for having morethan 120 customers in a day.

Solution-;Given: By using Chebyshev's inequality(a) Find upper bound on (b) Find upper bound on

Answered: The number of customers visiting a…

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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Suppose a random sample of 25 students is selected from a community college where the scores on the final exam (out of 125 points) are normally distributed having mean equal to 112 and standard deviation equal to 4. Find the probability that the sample mean deviates from the population mean µ = 112 by no more than 3.
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
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5. Suppose the number of days it takes you to get a flu shot after it is available follows this equation: Y₂ = 30 - 2X₁ where y, is the number of days until you get the flu shot, and X, is the number of people you know who have the flu. Further, suppose on average you know 2.3 people who have the flu, with standard deviation 5. Suppose that the population has size m = 10. (a) Find the average time until you get the flu shot after it is available. (b) Find the standard deviation of time until you get the flu shot after it is available. (c) What is EY;?
Problem : The following system has a radar, a computer and an auxiliary unit connected in series as shown with mean time between failures (MTBF’s) of 91,202 and 500 hours respectively. MTBF=91 HRS MTBF=202 HRS MTBF=500 HRS INPUT RADAR COMPUTER AUXILIARY OUTPUT SYSTEM Determine the following. The unit reliability of each component. System reliability * System MTBF for an operating period of 10 hours
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…
If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean, ,will fall in the interval from Hx-1.90g to Hx –0.40g ? Assume that the sample means can be measured to any degree of accuracy.
Cholesterol is a fatty substance that is an important part of the outer lining (membrane) of cells in the body of animals. Suppose that the mean and standard deviation for a population of individuals are 180 mg/dl and 20 mg/dl, respectively. Samples are obtained from 25 individuals, and these are independent. (a) What is the probability that the average of the 25 measurements exceeds 185 mg/dl? (b) Determine symmetric limits around 180 such that the probability that the sample average is within the limits equals 0.95.
If I had a series of data X = (x₁+x₂+x₂+ 1 2 +xN} I would have a mean and standard deviation, and s X If I subtracted 3 from every observation in the data series, X, which of the following would happen? The mean of X will increase by 3 The mean of X will decrease by 3 The standard deviation of X will be three times as large The standard deviation of X will be one third as large 3 ...

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