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lorasvet [3.4K]
3 years ago
6

A college wants 950 entering freshman. Experience shows that about 75% of admitted students accept. The college admits 1200 stud

ents, so if we assume decisions to enroll are made independently, the number who accept has a B(1200,0.75) distribution. What is the standard deviation of the number of students who choose to enroll
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Given Information:

Probability of success = p = 75 %

Total number of students = n = 1200

Required Information:

Standard deviation = σ = ?

Answer:

Standard deviation = 15

Step-by-step explanation:

In a binomial distribution, the probability of success does not change from trial to trial and the probability of events in not dependent on each other. Also the number of trials are fixed. So this problem can be modeled using binomial distribution.

The mean of the number of students who choose to enroll is given by

μ = n*p = 1200*0.75

μ = 900

The standard deviation of the number of students who choose to enroll is given by

σ = √np(1 - p)

σ = √1200*0.75(1 - 0.75)

σ =  15

Therefore, the standard deviation of the number of students who choose to enroll is 15.

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Desreumaux Inc's stock has an expected return of 12.25%, a beta of 1.25, and is in equilibrium. If the risk-free rate is 5.00%,
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Answer:

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Step-by-step explanation:

Previous concepts

The Capital Asset Pricing Model (CAPM) is a concept that "analyze the relationship between risk  of any type and the definition of expected return  about the assets".

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Assuming that we can use the capital asset pricing model we can calculate the market risk premium (MRP) with the following formula:

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2 years ago
R+3.2=6.1<br> What is the value of r? Show work
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Hello,

The answer is 2.9.

Reason:

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2. Or you could be solving variable.

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If you need anymore help feel free to ask me!

Hope this helps!

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