Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive throughs. Certainly the faster the cars get through the drive through, the more opportunity for making money. QSR magazine studied drive through times for fast-food restaurants and found Wendy's has the best time, with a mean time spent in the drive through of mu=138.5 second. Assuming drive through times are normally distributed with a standard deviation of 29 seconds, answer the following:
(a) What is the probability that a randomly selected car will get through the Wendy's drive through in less than 100 seconds, P(X<100)?
(b) What is the probababily that a car will spend more than 160 seconds in the Wendy's drive through, P(X>160)?
(c) According to our normal model, what is the probababily that a car will spend less than 4 minutes in the Wendy's drive through P(X<240)? (Note: you will not be able to get me a precise value for this probability using the table, but you can tell me what is has to be greater than.)
(d) Would you say that it is unusual for a car to spend more than 4 minutes in the Wendy's drive through? Why?

Given the function f(x) = log base 4(x+8) , find the value of f^-1(2)

Quadrilateral wxyz is on a coordinate plane. segment yz is on the line x+y=7 and segment xw is on the line x+y=3. which statement proves how segments yz and xw are related

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.