Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution isQuestion 5Select one:a.16b.2c.4d.20
Question
Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution isQuestion 5Select one:a.16b.2c.4d.20
Solution
The standard deviation of a binomial distribution is calculated using the formula:
σ = sqrt(npq)
where: n = number of trials (in this case, the number of students, which is 100) p = probability of success (in this case, the proportion of students planning to go to graduate school, which is 20% or 0.2) q = probability of failure (which is 1-p, or 0.8 in this case)
Substituting these values into the formula, we get:
σ = sqrt(100 * 0.2 * 0.8) = sqrt(16) = 4
So, the correct answer is c. 4.
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