14. The time required to prepare a certain specialty coffee at a local coffee shop is uniformly distributed between 30 and 40 seconds. Assuming a customer just ordered one of these specialty coffees, determine the probabilities described below. a. What is the probability that the preparation time will be more than 34 seconds? b. What is the probability that the preparation time will be between 33 and 38 seconds? c. What percentage of these specialty coffees will be prepared within 37 seconds? d. What is the standard deviation of preparation times for this specialty coffee at this shop? a. P(preparation time more than 34 seconds) = (Simplify your answer.) b. P(preparation time between 33 and 38 seconds) = (Simplify your answer.) c. P(preparation time less than or equal to 37) = (Simplify your answer.) d. o = (Round to four decimal places as needed.) Show your work below.

14. The time required to prepare a certain specialty coffee at a local coffee shop is uniformly distributed between 30 and 40 seconds. Assuming a customer just ordered one of these specialty coffees, determine the probabilities described below. a. What is the probability that the preparation time will be more than 34 seconds? b. What is the probability that the preparation time will be between 33 and 38 seconds? c. What percentage of these specialty coffees will be prepared within 37 seconds? d. What is the standard deviation of preparation times for this specialty coffee at this shop? a. P(preparation time more than 34 seconds) = (Simplify your answer.) b. P(preparation time between 33 and 38 seconds) = (Simplify your answer.) c. P(preparation time less than or equal to 37) = (Simplify your answer.) d. o = (Round to four decimal places as needed.) Show your work below.

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

14. The time required to prepare a certain specialty coffee at a local coffee shop is uniformly distributed between 30 and 40
seconds. Assuming a customer just ordered one of these specialty coffees, determine the probabilities described below.
a. What is the probability that the preparation time will be more than 34 seconds?
b. What is the probability that the preparation time will be between 33 and 38 seconds?
c. What percentage of these specialty coffees will be prepared within 37 seconds?
d. What is the standard deviation of preparation times for this specialty coffee at this shop?
a. P(preparation time more than 34 seconds) =
(Simplify your answer.)
b. P(preparation time between 33 and 38 seconds) =
(Simplify your answer.)
c. P(preparation time less than or equal to 37) =
(Simplify your answer.)
%
(Round to four decimal places as needed.)
d. σε
Show your work below.

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