menu
bartleby
search
close search
Hit Return to see all results

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and thosescores are normally distributed with a mean of 100 and a standard deviation of 1575120

Question
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those
scores are normally distributed with a mean of 100 and a standard deviation of 15
75
120
help_outline

Image Transcriptionclose

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 75 120

fullscreen
check_circleAnswer
Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution if the probability density function of X is,

fullscreen
Step 2

Standard normal distribution:

The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable y follows normal distribution with mean (m) and standard deviation (s), then the standard normal variable z will be as given below:

fullscreen
Step 3

Calculation:

From the given graph, it is seen that the shaded region is between the IQ scores 75 and 120.

Here, the IQ score, say X, is normally distributed with mean μ = 100 and standard deviation σ = 15. Thus, the p...

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

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: what would be the mean and standard deviation of each chart!! I am having trouble calculating this. ...

A: Calculation: Mean:Before mean:Control: (5 + 1 + 2)/3 = 2.67. [(Before Stephanie + Before Brenda + Be...

question_answer

Q: What determines whether a post hoc test is used in a one-way ANOVA calculation? Be specific.

A: ANOVA is generally used to analyze the  significant differences among group means. Here we apply F-t...

question_answer

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of P...

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44 the...

question_answer

Q: What degrees of freedom would younormally expect a t test to have when N1 = 40 and N2 = 55?

A: It is provided that there are two samples of size n1=40 and n2=55.So, this is an example of 'two sam...

question_answer

Q: Linear Programming Problem A manufacturer of three models of tote bag must determine the production ...

A: The provided data is,The available time for the respective production departments is,Cutting: 450 ho...

question_answer

Q: A marketing manager for a cell phone company claims that more than 55% of children aged 8-12 have ce...

A: Null and alternative hypotheses:Here, to check whether more than 55% of children aged 8-12 have cell...

question_answer

Q: (1) Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

question_answer

Q: Suppose you would like to estimate, with 97% confidence, the proportion of computers that need repai...

A: It is given that the level of confidence is 97% and desired margin of error E is 0.035.The formula f...

question_answer

Q: Consider a drug testing company that provides a test for marijuana usage. Among 301 tested subjects,...

A: Given hypothesis testp be the proportion of wrong test results Null hypothesis : p = 0.10Alternate H...

Sorry about that. What wasn’t helpful?