Question
I have tried to look up other similar problems but I cannot seem to make sense of part of the problem. Please explain each step
I have tried to look up other similar problems but I cannot seem to make sense of part of the problem. Please explain each step in simple terms because, like for (a), I know it is P(X<122) = P(122 - 158.2/25) = P(Z< - 1.448), but then I am lost on how the next number in (a) is calculated to get my final answer. Would it be rounded to - 1.45, then look at z-score table to get 0.0735 or am I thinking something completely different?
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 158.2 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 seconds, complete parts (a) through (d) below.
(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 122 seconds? Round to four decimal places as needed.
(b) What is the probability that a randomly selected car will spend more than 194 seconds in the restaurant's drive-through? Round to four decimal places as needed.
(c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? Round to four decimal places as needed.
(d) The probability that a car spends more than 3 minutes in the restaurant's drive-through is ___ so it _____ (would/would not) be unusual, since the probability is ____ (less/greater) than 0.05. Round to four decimal places as needed.
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