The College Board reports that 2% of the two million high school students who take the SAT each year receive special accommodations because

Question

The College Board reports that 2% of the two million high school students who take the SAT each year receive special accommodations because of documented disabilities (Los Angeles Times, July 16, 2002). Consider a random sample of 25 students who have recently taken the test. a. What is the probability that exactly 1 received a special accommodation

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Arya 2 weeks 2021-11-22T09:59:13+00:00 1 Answer 0 views 0

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    2021-11-22T10:01:10+00:00

    Answer:

    the probability that exactly 1 received a special accommodation is 0.3079

    Step-by-step explanation:

    Step 1: define the variable

    x= the number of students who received a special accommodation.

    Step 2: define the distribution of this variable

    x ~ binomial distribution ( p=0.02, n=25)

    this is because x is the number of succes in 25 trials.

    Step 3: using the binomial distribution formula

    P(x=1)= (25C1)*(0.05^1)*(1-0.05)^(25-1)=0.3079

    where (25C1) is a combination

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