Question

In: Statistics and Probability

IN MINITAB High School Dropouts Approximately 10.3% of American high school students drop out of school before...

IN MINITAB High School Dropouts Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students entering high school at random. Find the probability that

a. No more than two drop out

b. At least 6 graduate

c. All 10 stay in school and graduate

Expert Solution

As we are given here that: High School Dropouts Approximately 10.3% of American high school students drop out of school before graduation, therefore the number of students out of 10 who drop out is modelled here as:

a) The probability that no more than two drop out is computed here as:

P(X <= 2)

From Minitab select Calc > Probability Distributions > Binomial
The parameters selected are:
Number of trials: 10
Event Probability: 0.103
Choose Cumulative probability here.
Choose Input constant as 2.

The result here is: 0.9245
Therefore 0.9245 is the required probability here.

b) Probability that at least 6 graduate is computed here as the probability that at most 4 drop out. Again this is computed here as: P(X <= 4)

From Minitab select Calc > Probability Distributions > Binomial
The parameters selected are:
Number of trials: 10
Event Probability: 0.103
Choose Cumulative probability here.
Choose Input constant as 4.

The result here is: 0.9981
Therefore 0.9981 is the required probability here.

c) The probability here is computed as:

Prob. that all 10 stay in school and graduate = Probability that no one drops out

From Minitab select Calc > Probability Distributions > Binomial
The parameters selected are:
Number of trials: 10
Event Probability: 0.103
Choose probability here.
Choose Input constant as 0.

The result here is: 0.3372
Therefore 0.3372 is the required probability here.

orchestra answered 2 years ago

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