Question

Suppose that the School's Board of Directors must call an emergency meeting quickly to vote on a policy. There are 17 members on the board. In the past, the probability of a board member attending on a Sunday is 72%. Construct the appropriate distribution in Excel and create a table finding probabilities for all range of possibilities of Board members attending (from 0 – 17).

5. What is the expected number of Board members who will attend?

6. What is the variance?

7. What is the standard deviation?

8. Suppose that the District 4 School's Board reports a coefficient of variation of 0.5 with respect to Board attendance. How does this School’s Board compare?

9. The Board needs at least 11 members present to vote on a specific policy. What is the probability of at least 11 members being present?

Answer 1

Let X denotes the random variable of the number of members attending the meeting.

therefore X = 0,1,2,3,....17

p = probability that a member will attend the meeting = 0.72

thus X will follow a binomial distribution with parameters n=17 and p=0.72

5, The expected number of Board members who will attend the meeting = E(x)

Since the school boards coefficient of variation is less than the district 4 school boards coefficient of variation meaning that there is less variability in the members of the school board to attend the meeting.

Thank You