Quiz 6

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Quiz 6

Question

Quiz 6

 

1.  Valentino’s Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.

Type of Crust Number Sold
Thin crust 327
Thick crust 252
Stuffed crust 172
Pan style 299

Based on this information, of the next  5000 pizzas she sells, how many should she expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

 

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2.  The workers’ union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers’ union. Recently, the workers went on strike, and now a local TV station plans to interview 5 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 2 of the workers interviewed are union members?
Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

 

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3. Anita’s, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food “to go”) so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita’s reports that 45% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 40 individual customers is taken.
Answer the following.

(If necessary, consult a list of formulas.)

(a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.

(b)Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

 

4  A binomial experiment with probability of success p=0.78 and n=8 trials is conducted. What is the probability that the experiment results in more than 6 successes?

Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

 

 

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This question is taken from Math 138 – Statistics » Fall 2021 » Quizzes