The time required to prepare a certain specialty coffee at a local coffee shop i

Question

The time required to prepare a certain specialty coffee at a local coffee shop is uniformly distributed between 2020 and 4040 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 2727 seconds? b. What is the probability that the preparation time will be between 2626 and 3838 seconds? c. What percentage of these specialty coffees will be prepared within 3636 seconds? a. P(preparation time more than 2727 seconds)equals= nothing (Simplify your answer.) b. P(preparation time between 2626 and 3838 seconds)equals= nothing (Simplify your answer.) c. P(preparation time less than or equal to 3636)equals= nothing% (Simplify your answer.)

Explanation / Answer

The time required to prepare a certain specialty coffee at a local coffee shop is uniformly distributed between 2020 and 4040 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 2727 seconds?b. What is the probability that the preparation time will be between 2626 and 3838 seconds? c. What percentage of these specialty coffees will be prepared within 3636 seconds?

a. P(preparation time more than 27 seconds)equals=

=(40-27)/(40-20) = 0.65 (Simplify your answer.)

b. P(preparation time between 26 and 38 seconds)equals= nothing (Simplify your answer.)

=P( x <38) – P( x <26)= (38-26)/(40-20)=0.6

c. P(preparation time less than or equal to 36)equals= nothing% (Simplify your answer.)

P=(36-20)/(40-20) =0.8 or

80%

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