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

Answer 1

the probability that exactly 1 received a special accommodation is 0.3079

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