A market has both an express checkout line and a super express checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, andlet X2 denote the number of customers in line at the super express checkout at the same time. Suppose the joint probability distribution of X1 and X2 is as given in the accompanyingtable,X2120.080.070.040.0010.060.150.050.04X10.050.040.100.0630.000.030.040.0740.000.010.050.06What is the probability that the total number of customers in the two lines is exactly four?O 11%O 17%O 15%O 4%|000|

Answered: Image /qna-images/answer/73a05656-4e98-4884-bc21-06d2c6f41782.jpg

Answered: A market has both an express checkout…

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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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 20 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 25 customers per hour. The manager’s service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of Pete's Market wants to consider one of the following alternatives for improving service. Calculate the value of Wq for each alternative. Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server operation, the service rate could be increased to 33 customers per hour. Round your answer to three decimal places. Do not round intermediate calculations.Wq = 2.797 minutes Hire a second person to…
Suppose a life insurance company sells a $270,000 one-year term life insurance policy to a 22-year-old female for $230. The probability that the female survives the year is 0.999552. Compute and interpret the expected value of this policy to the insurance company. The expected value is $. (Round to two decimal places as needed.)
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A baseball team claims that the mean length of its games is 2.4 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 2.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≤2.4." B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is more than 2.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≠2.4." C. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at least 2.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≥2.4." D. The null hypothesis expressed in words is, "the mean length of a baseball…
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Suppose a life insurance company sells a $230,000 one-year term life insurance policy to a 20-year-old female for $370.The probability that the female survives the year is 0.999464. Compute and interpret the expected value of this policy to the insurance company.
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Assume that 12 jurors are randomly selected from a population in which 86% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. � �(�) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553 10 0.2863 11 0.3197 12 0.1637 Find the probability of exactly 5 Mexican-Americans among 12 jurors.�(�=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors.�(�≤5)= Does the occurrence of 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
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A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
An insurance policy on an electrical device pays a benefit of $2400 if the device fails during the first year. The amount of the benefit decreases by $800 each successive year until it reaches 0 . If the device has not failed by the beginning of any given year, the probability of failure during that year is 0.29.Find the expected benefit under this policy.

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