Question
Asked Apr 26, 2019
1 views

Scores of the first test in Econ 261 follow a normal distribution with mean 70 and standard deviation 5. Compute the following probabilities.

P(55 ≤ X ≤ 65) is:

check_circle

Expert Answer

Step 1

Let X be the score of the first test in Econ. X follows normal distribution with mean 70 and standard deviation 5.

The probability of 55 ≤ X ≤ 65 can be found as,

fullscreen
Step 2

Using the Excel formula, ‘=NORM.DIST(65,70,5,TRUE)’, the value of P(X≤65) =0.158655.

Using the Excel formula, ‘=NORM.DIST(55,70,5,TRUE)’, the value of P(X≤55) =0.00135.

Step 3

Therefore...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of t...

A: The estimated regression line is as follows:

question_answer

Q: Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,00...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

question_answer

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,507 house fo...

A: Profit received by the agent if he sells the house = (Commission received – amount spent on advertis...

question_answer

Q: For frecuency distribution for us governor 2019.  Party.                     Frequency Democratic.  ...

A: For any event A, the probability of A can be found as follows:

question_answer

Q: Part A, B, C

A: Here, the population standard deviation is unknown, so the t-distribution is used.It is provided tha...

question_answer

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20 ...

A: The provided information are:

question_answer

Q: Use the normal distribution of SAT critical reading scores for which the mean is 513513 and the stan...

A: NOTE:Since, the numbers on the values of mean and standard deviation are repeating twice (513513 and...

question_answer

Q: The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30...

A: Introduction:The test hypotheses are:Null hypothesis:H0: p = 0.30, that is, 30% in the sample of 1,1...

question_answer

Q: What do you need to look for in bivariate screening (for each categorical and quantative variables)?

A: Solution:Bivariate analysis helps to determine the relationship of two variables. The possible combi...