Question

18.2% of the students in a class of 98 are planning to go to graduate school. The standard deviation σ of this binomial distribution is ___ Round your answer to two decimal places.

Answer 1

To find the standard deviation of a binomial distribution, use the formula σ = √(npq), where n is the sample size, p is the probability of success, and q is the probability of failure. In this case, the standard deviation is 3.37.

Step-by-step explanation:

To find the standard deviation of a binomial distribution, we can use the formula σ = √(npq), where n is the sample size, p is the probability of success, and q is the probability of failure. In this case, the sample size is 98 and the probability of success is 18.2%, or 0.182. The probability of failure would be 1 - 0.182 = 0.818. Plugging these values into the formula, we get:

σ = √(98 * 0.182 * 0.818) = 3.371

Rounding to two decimal places, the standard deviation of this binomial distribution is 3.37.