Question

As reported by a recent survey, the fast-food resturaunt with the best drive-through time had a...

As reported by a recent survey, the fast-food resturaunt with the best drive-through time had a mean time spent in the drive-through of μ=64.3 seconds. Assuming drive-through times are normally distributed with σ=2.9 seconds, complete parts a through d below.

a. What is the probability that a randomly selected car will get through the drive-through in less than 60.5 seconds?

b. What is the probability that a randomly selected cad will spend more than 70.8 seconds in the drive-through?

c. What proportion of cars spend between 60.5 and 70.8 seconds in the drive-through?

d. Would it be unusual for a car to spend more than 70.8 seconds in the drive-through?
(multiple choice answers below)

a) No, because the probability of randomly choosing a car that waits more than 70.8 seconds in the drive-through is greater than 5%.
b) No, because the probability of randomly choosing a car that waits more than 70.8 seconds in the drive-through is less than 5%.
c) Yes, because the probability of randomly choosing a car that waits more than 70.8 seconds in the drive-through is less than 5%.
d) Yes, because the probability of randomly choosing a car that waits more than 70.8 seconds in the drive-through is greater than 5%.

Homework Answers

Answer #1

Given that, mean = 64.3 seconds and

standard deviation = 2.9

a) We want to find, P(X < 60.5)

Therefore, required probability is 0.0951

b) We want to find, P(X > 70.8)

Therefore, required probability is 0.0125

c) We want to find, P(60.5 < X < 70.8)

Therefore, required probability is 0.8924

d) Since, P(X > 70.8) = 0.0125 < 0.05 it is unusual

Answer: c) Yes, because the probability of randomly choosing a car that waits more than 70.8 seconds in the drive-through is less than 5%

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a mean time spent in the​drive-through of mu equals 63.6μ=63.6 seconds. Assuming​ drive-through times are normally distributed with sigma equals 2.9σ=2.9 ​seconds, complete parts ​(a) through ​(d) below. ​(a) What is the probability that a randomly selected car will get through the​ drive-through in less than 60.360.3 ​seconds?The probability is nothing. ​(Round to four decimal places as​ needed.)​(b) What is the probability that a randomly...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a mean time spent in the​ drive-through of mu equals 63.6 seconds. Assuming​ drive-through times are normally distributed with sigma equals 2.9 ​seconds, complete parts ​(a) through ​(d) below. ​(a) What is the probability that a randomly selected car will get through the​ drive-through in less than 60.3 ​seconds? The probability is nothing. ​(Round to four decimal places as​ needed.) ​(b) What is the probability...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a mean time spent in the​ drive-through of mu equals 63.7 seconds. Assuming​ drive-through times are normally distributed with sigma equals 2.6 ​seconds, complete parts ​(a) through ​(c) below. a) what is the probability that a randomly selected car will get through the drive-through in less than 60.2 seconds? b) what is the probability that a randomly seleced car will sepnd more then 70 seconds...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 156.1 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 33 ​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 118 ​seconds? The probability that a randomly selected car will get through the​ restaurant's drive-through in less than 118 seconds is...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 137.2 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 30 ​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 99 ​seconds? The probability that a randomly selected car will get through the​ restaurant's drive-through in less than 99 seconds is...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 159.7 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 32 ​seconds: a) The probability that a randomly selected car will get through the​ restaurant's drive-through in less than 123 seconds is ____ b) The probability that a randomly selected car will spend more than 199 seconds in the​ restaurant's drive-through is _____ c) The proportion of cars...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 156.6 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 26 ​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 116 ​seconds? B.) What is the probability that a randomly selected car will spend more than 189seconds in the​ restaurant's drive-through? C.)...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​...
A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 136.3 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 27 ​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 104 ​seconds? (b)What is the probability that a randomly selected car will spend more than 224 seconds in the​ restaurant's drive-through?...
A study found that the mean amount of time cars spent in drive-throughs of a certain...
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food resturant was 146.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 33 seconds. A.) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 102 seconds? _______ (Round to four decimal places as needed). B.) What is the probability that a randomly selected car will spend more than 188 seconds in...
partial credit, 7.2.40 A study found that the mean amount of time cars spent in​ drive-throughs...
partial credit, 7.2.40 A study found that the mean amount of time cars spent in​ drive-throughs of a certain​ fast-food restaurant was 139.9 seconds. Assuming​ drive-through times are normally distributed with a standard deviation of 31 ​seconds, complete parts​ (a) through​ (d) below. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... ​(a) What is the probability that a randomly selected car will get through...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT