Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probabilitydistribution.X01 2345P(x) 0.05 0.25 0.30 0.25 0.10 0.05Send data to Excel (a) Compute the mean Hx.(b) Compute the standard deviation σx -(c) If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out?OO EXPLANATION(a) Compute the mean u...

Let X be the random variable that is the number of customers in line.Given…

Answered: (a) Compute the mean Hx (b) Compute the…

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 tht the duration of a particular type of criminal trial is known to have a mean of 24 days and a standard deviation of 8 days. We randomly sample 9 trials. Part (b) Given the distribution of Σx Σx~ N ( ____ , ____) Part (C) Find the probability that the total length of the 9 trials is at least 249 days. (Round your answer to four decimals places) Part (D) Seventy percent of the total of 9 of these types of trials will last at least how long? (Round your answer to two decimal places)
In what way can probability or proportion be represented in terms of the distribution? Standard deviation None of these Z-score F-statistic
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 9 The standard deviation of the days to complete the project is ________. a 1.195 b 1.106 c 1.024 d 0.948
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Empirical research on stock market data for two consecutive trading days indicates that 60% of the stocks that went up on the first day also went up on the second day. Yesterday, 600 stocks went up. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p gives the proportion of the 600 stocks that went up yesterday that will go up today. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.58), which is the probability that fewer than 58% of the stocks that went up yesterday will go up again today. Round your answer to four decimal places.
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98
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Summer Wine Sales 1000 2000 3000 4000 5000 0000 7000 Assume that the weekly summer wine sales at the local winery vary with a mean of u 2600 dollars and standard deviation o= 1300 dollars. The student is actually going to attend a wedding at the winery in August, and he is wondering what is the probability that the sales for that week will be more than 2500 dollars. Can he calculate this probability? O Yes O No
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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 28 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select): psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended caorrect inflation range is 26 psi to 30 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
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(a) Compute the mean Hx (b) Compute the standard deviation σx. (c) If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out? OO EXPLANATION