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 those scores are normally distributed with a mean of 100 and a standard deviation of 15.75

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
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

fullscreen
check_circleAnswer
Step 1

Solution

To find: The area under the shaded region of the given normal curve. i.e., area below X = 75.

Given: The IQ scores of adults are normally distributed with a mean µ = 100 and standard deviation σ = 15.

Step 1:

To find the area below X = 75, we need to find the z score corresponding to X = 75.

The z score is computed using the formula,

fullscreen
Step 2

Step 2:

Substitute the values X = 75, µ = 100, and σ = 15 in th...

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: A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To...

A: The provided information are:Sample size (n) = 450Hypothesised proportion (po)=0.87From the provided...

question_answer

Q: Find the t-value such that the area in the area in the right tail is 0.10 with 25 degrees of freedom

A: It is given that the degrees of the freedom is 25, the level of significance is 0.10 and the test is...

question_answer

Q: Consider the following multiple regression model :          y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...

A: The given multiple regression model is as follows:

question_answer

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

question_answer

Q: After you determine the mean annual return, how do you find the standard deviation?

A: Click to see the answer

question_answer

Q: Why should researchers be very cautious about comparison or correlatios that involve different vaiab...

A: In general correlation does not imply causation. If there is strong correlation between two variable...

question_answer

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Hello there! there are moe than three subparts in the question. According to our policies cannot ans...

question_answer

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below ...

A: Solution:Percentile reports the percentage of data items in a normal distribution that lies below th...

question_answer

Q: Use the normal approximation to the binominal to approximate the probabilities. A gardener buys a pa...

A: Normal approximation to the binomial:If a random variable X ~ B(n, p) in which n is large and p is c...

Sorry about that. What wasn’t helpful?