Question

In: Math

The drive-thru times at Tim Horton’s are normally distributed with µ = 138.5 seconds and σ...

The drive-thru times at Tim Horton’s are normally distributed with µ = 138.5 seconds and σ = 29 seconds.

(a) What is the probability that a randomly selected car will get through the drive-thru in less than 100 seconds?

(b) What is the probability that a randomly selected car will spend more than 160 seconds in the drive-thru?

(c) What proportion of cars spend between 2 and 3 minutes in the drive-thru?

(d) Would it be unusual for a car to spend more than 3 minutes in the drive-thru? Why?

Solutions

Expert Solution

According to the given question, the drive-thru times at Tim Horton’s are normally distributed with mean

seconds and standard deviation

seconds.

(a) The probability that a randomly selected car will get through the drive-thru in less than 100 seconds is .

Explanation:

The area under the standard normal curve is determined from a standard normal table as:

The area is shaded in black as:

(b) The probability that a randomly selected car will spend more than 160 seconds in the drive-thru is .

Explanation:

The area over the standard normal curve from is determined from a standard normal table as:

The area is shaded in black as:

(c) The proportion of cars spend between 2 and 3 minutes in the drive-thru is   or 66.2 %.

Explanation:

The area under the standard normal curve from and is determined from a standard normal table as:

The area is shaded in black as:

(d) The probability that a car to spend more than 3 minutes in the drive-thru is

Explanation:

The area over the standard normal curve from is determined from a standard normal table as:

The area is shaded in black as

As the probability that a car to spend more than 3 minutes in the drive-thru is is more than , therefore this is not unusual.

milcah answered 3 months ago
Next > < Previous

Related Solutions

Suppose that a population is known to be normally distributed with µ = 317 and σ...
Suppose that a population is known to be normally distributed with µ = 317 and σ = 90. If a random sample of size n = 50 is selected, calculate the probability that the sample mean is greater than 300.
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and a σ = 20. (Show Work) a. What is P(370 < X < 410) = _________ b. Determine the value of X such that 70% of the values are greater than that value. _____
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and a σ = 20.       a.  What is P(370 < X < 410) = _________     b. Determine the value of X such that 70% of the values are greater than that value. _____
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and a σ = 20.     a.  What is P(370 < X < 410) = _________     b. Determine the value of X such that 60% of the values are greater than that value. _____ PLEASE SHOW ALL YOUR WORK
The scores on a statistics test are Normally distributed with parameters µ = 75 and σ...
The scores on a statistics test are Normally distributed with parameters µ = 75 and σ = 10. Find the probability that a randomly chosen score is (a) no greater than 60 (b) at least 90 (c) between 60 and 90 (d) between 65 and 85 (e) at least 75
Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds.   a)...
Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds.   a) What is the probability that a randomly chosen individual has reaction time of more than 45 seconds? b) In a random sample of 36 individuals from the above population of reaction times, what is the probability that the sample mean reaction time is more than 45 seconds
1)Test scores are normally distributed with µ = 65 and σ = 12. What is the...
1)Test scores are normally distributed with µ = 65 and σ = 12. What is the probability of a score above 50?. 2)Grades should be distributed as follows: 15% A, 20% B, 30% C, 20% D, and 15% F. If a class of 50 has 7 A’s, 15 B’s, 10 C’s, 15 D’s, and 3 F’s, is there statistically significant evidence that this class does not fit the ideal distribution?
Adult men’s heights (in inches) are normally distributed with µ = 69 and σ = 2.8....
Adult men’s heights (in inches) are normally distributed with µ = 69 and σ = 2.8. Adult women’s heights (in inches) are normally distributed with µ = 64 and σ = 2.5. Members of the “Beanstalk Club” must be at least six feet (72 inches) tall. If a man is selected at random, what is the probability that he is eligible for the Beanstalk Club? If a woman is selected at random, what is the probability that she is eligible...
Some data X that is normally distributed has a µ = 100 and σ = 12....
Some data X that is normally distributed has a µ = 100 and σ = 12. a. What the Z score associated with X = 130?    b. What is P(X ≥ 100)? c. What is P(X ≤ 85)? d. What is the X score associated with Z = 1.5?   
How would fast-food workers introduce bias into the manager's sample of drive-thru times?
How would fast-food workers introduce bias into the manager's sample of drive-thru times?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT