Business, 17.02.2020 18:05 harveyangel123p2tjae

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found to be normally distributed with a mean of 30 minutes and a standard deviation of 8 minutes. What is the probability that a randomly selected individual will have a waiting time between 15 and 45 minutes?
P(15 P[(15-30)/8] P(-1.88 "Check the handout Cumulative Areas under the Standard Normal Curve"
.9699-.0301=
.9398
. T/F

Answers: 1

Show answers

Answers

Answer from: betsylancer8522

1. The probability that a randomly selected individual will have a waiting time between 15 and 45 minutes is:

P [ X > (15 - 30)/8] - P [ X < (45 - 30)/8] = P( Z > -1.88) - P (Z < 1.88)

2. The result 0.9699 - 0.301 = 0.9398 is true.

Explanation:

The relevant information to solve the problem is:

1. The waiting time has been found to be normally distributed

2. The mean is 30 minutes

3. The standard deviation is 8 minutes

4. The question is What is the probability that a randomly selected individual will have a waiting time between 15 and 45 minutes?

Solution

You must calculate the Z-scores for both 15 min and 45 min, to use a standard distribution table to look up the Z-score, and the area between those values.

It is important to know that there are two types of standard distribution tables: tables that show values that represent the AREA to the LEFT of the Z-score, and tables that show values that represent the AREA to the RIGHT of the Z-score". You can use either of them.

1. Calculate the Z-score for X = 15 min:

$Z-score=\frac{X-mean}{standard\text{ }deviation}$

$Z-score=\frac{15-30}{8}\approx -1.875$

You may round - 1.875 to - 1.88 to use the most common tables, which have only two decimals for the Z-scores.

Then, find the area to the left of Z-score = - 1.88. It is 0.0301. You can also use the function DISTR.NORM.ESTAND.N, which comes with Excel, the parameters would be (-1.88,1).

And the area to the right is 1 - 0.0301 = 0.969.

2. Calculate the Z-score for X = 45min

Z-score=(45-30)/8=1.875

Given the symmetry of the standard normal distribution, the area to the right of Z-score = 1.875 is the same as the area to the left of Z-score = - 1.875. Rounding again 1.875 to 1.88, the area is 0.0301.

Hence, the area in between those Z-scores is 0.9699 - 0.0301 = 0.9398.

Conclusion

1. The probability that a randomly selected individual will have a waiting time between 15 and 45 minutes is:

P [ X > (15 - 30)/8] - P [ X < (45 - 30)/8] = P( Z > -1.88) - P (Z < 1.88)

2. The result 0.9699 - 0.301 = 0.9398 is true.

Answer from: Quest

More information, : )

Answer from: Quest

What's the rest of the problem? lol

Another question on Business

Business, 21.06.2019 23:00

Which of the following statements is correct? large corporations are taxed more favorably than sole proprietorships. corporate stockholders are exposed to unlimited liability. due to limited liability, unlimited lives, and ease of ownership transfer, the vast majority of u.s. businesses (in terms of number of businesses) are organized as corporations. most businesses (by number and total dollar sales) are organized as partnerships or proprietorships because it is easier to set up and operate in one of these forms rather than as a corporation. however, if the business gets very large, it becomes advantageous to convert to a corporation, mainly because corporations have important tax advantages over proprietorships and partnerships. most business (measured by dollar sales) is conducted by corporations in spite of large corporationsâ€™ often less favorable tax treatment, due to legal considerations related to ownership transfers and limited liability.

Answers: 3

Answer

Business, 21.06.2019 23:30

As manager of kids skids, meghan wants to develop her relationship management skills. in order to do this, she learns how to

Answers: 2

Answer

Business, 22.06.2019 10:40

You were able to purchase two tickets to an upcoming concert for $100 apiece when the concert was first announced three months ago. recently, you saw that stubhub was listing similar seats for $225 apiece. what does it cost you to attend the concert?

Answers: 1

Answer

Business, 22.06.2019 11:30

When the amount for land is 36,000 and the amount paid for expenses is 10,000, the balance of total asset is

Answers: 2

Answer

You know the right answer?

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle...

Questions