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.
