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The probability distribution of X, the number of customers in line (including the one being served, if any) at a checkout counter in a department store, is given by P(X = 0) = 0.25, P(X = 1) = 0.25, P(X = 2) = 0.20, P(X = 3) = 0.20, and P(X = 4) = 0.10.

a. Use simulation to generate 500 values of this random variable X.

b. Is the simulated distribution indicative of the given probability distribution? Explain why or why not.

c. Calculate the mean and standard deviation of the simulated values. How do they compare to the mean and standard deviation of the given probability distribution? d. Repeat parts a through c with 5000 simulated values rather than 500. Explain any differences you observe.

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At its peak after the 2007–2008 recession, credit card delinquency rates in a certain region reached 8.14?%. Since its? peak, delinquency rates have declined to a new low of 3.96?% in the second quarter of 2015. You are charged with checking the most recent credit card delinquency rates in the region. Using a random sample of 482 credit card? customers, you found that 24 were at least 30 days overdue on their monthly payments. Using a 90?% confidence? interval, can you conclude that the proportion of delinquent card holders changed since its lowest point in 2015??

The 90?% confidence interval to estimate the actual most recent proportion of delinquent card holders has a lower limit of

enter your response here and an upper limit of enter your response here.

?(Round to three decimal places as? needed.)

Based on the confidence? interval, it

?

can

cannot

be concluded that this proportion has changed since 2015?, because the _______

?

the margin of error is greater than the proportion from 2015.

the margin of error is less than zero.

the margin of error is greater than zero.

confidence interval does not include zero.

confidence interval does not include the proportion from 2015.

confidence interval includes zero.

confidence interval includes the proportion from 2015.

the margin of error is less than the proportion from 2015.

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Suppose you are the Senior Manager of the Marketing group for the Restaurant of your Local Area, Mirpur. As the restaurant is quite new, so you are asked to collect the customer feedback. As a result, you have chosen to use Customer Survey to have that customer feedback. You have decided to make a structured question for that. Here you have included the number of questions like the customer’s experience with the food, their demand, their expectations everything. Now Make a customer survey questionnaire that will be included with at least 10 questions & Write about the restaurant first then make a table along with answer option.

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Plaintiff health care workers sued their employer for alleged wage law violations. They sought a declaration that the arbitration clauses in their employment contracts were unconscionable and unenforceable because other provisions of their contract allowed the employer to seek limited judicial relief without giving the plaintiffs the same option. The defendant sought to compel arbitration and the court denied the motion, agreeing with the employees that the contract was unconscionable. On appeal, the employer urged the appellate court to consider the strong policy of the state in favor of arbitration.

How do you think the appellate court should have ruled in this case? Why? [Romney v. Franciscan Medical Group, 2015 Wash. App. LEXIS 322]

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