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MLA

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Mathematics & Economics

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Statistics Project

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# Calculations Applying The Concepts Of The Binomial Distribution (Statistics Project Sample)

Instructions:

Complete the calculations applying the concepts of the binomial distribution

source..Content:

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Professor

Course

Date

Homework

A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA program is .65. Using the formula and showing all work and steps, compute the followings:

To answer this question, a binomial probability distribution will be applied P(k successes in n trials)=(n k)pk(1-p)n-k

P=0.65, n=8 and 1-p=0.35

1 Probability for the following number of students to get admitted:

3, 2, 1, 0

P(k=0)=(8 0)10(0.35)8

=0.000225188

P(k=1)=(8 1)11(0.35)7

=0.003345643

P(k=2)=(8 2)0.652(0.35)6

=0.021746682

p(k=3)=(8 3)0.653(0.35)5

=0.080773392

2 Probability of at least 4 students get admitted

P(at least 4)=1-p(0)...

Professor

Course

Date

Homework

A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA program is .65. Using the formula and showing all work and steps, compute the followings:

To answer this question, a binomial probability distribution will be applied P(k successes in n trials)=(n k)pk(1-p)n-k

P=0.65, n=8 and 1-p=0.35

1 Probability for the following number of students to get admitted:

3, 2, 1, 0

P(k=0)=(8 0)10(0.35)8

=0.000225188

P(k=1)=(8 1)11(0.35)7

=0.003345643

P(k=2)=(8 2)0.652(0.35)6

=0.021746682

p(k=3)=(8 3)0.653(0.35)5

=0.080773392

2 Probability of at least 4 students get admitted

P(at least 4)=1-p(0)...

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