menu
bartleby
search
close search
Hit Return to see all results

A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly selected from this distribution, what is the probability that the score will be greater than 54?

Question

A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly selected from this distribution, what is the probability that the score will be greater than 54?

check_circleAnswer
Step 1

Let A(x) be the probability that the value of a random variable X is less than or equal to x where X is a random score selected from normal distribution.

Mathematically,

A(2) P(X x)
help_outline

Image Transcriptionclose

A(2) P(X x)

fullscreen
Step 2

Therefore, probability that the score will be greater than 54 will be

P(X 54) 1P(X 54)
help_outline

Image Transcriptionclose

P(X 54) 1P(X 54)

fullscreen
Step 3

P(X<=54) can be calculated in ...

54 60
_
P(Z-0.75)
P(X< 54)= P(- fi
=
8
X - Lu
As Z -
VI
help_outline

Image Transcriptionclose

54 60 _ P(Z-0.75) P(X< 54)= P(- fi = 8 X - Lu As Z - VI

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Measures

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: 16.| Investing: Stocks and Bonds Do bonds reduce the overall risk of an invest- ment portfolio? Let ...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

question_answer

Q: When are mean, median, and mode the best measure of center?

A: Click to see the answer

question_answer

Q: The manager of a computer software company wishes to study the number of hours per week senior execu...

A: 1. According to the provided data, the null and the alternative hypotheses can be stated as:

question_answer

Q: Car Weight (lbs) Miles per Gallon 3,765 Car 1 19 Car 2 3,964 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 ...

A: Enter the data as shown in excel

question_answer

Q: The population of a country is expected to drop by 30% over the next 50 years as the percent of its ...

A: Output:In Excel, enter the data in cells A1 to A7 (t) and B1 to B7 (P); the first row is for labels....

question_answer

Q: Hi I have submited a picture with the question. Thanks.

A: a. The condition for A and B to be mutually exclusive is satisfied if there are no common elements i...

question_answer

Q: Imagine that you have just invented a statistical test called the Mode Test to test the mode of a po...

A: Steps to obtain a sampling distribution of Mode1) Divide the population into many samples.2) Find th...

question_answer

Q: below attached

A: (a)Step-by-step procedure to obtain the mean square error using EXCEL software:Create the variable t...

question_answer

Q: what is the formula for finding the inter quartile range

A: Quartiles:Three Quartiles,The first quartile separates the lowest 25% of the observations from the h...

Sorry about that. What wasn’t helpful?