Which of the following is not a requirement of the binomial probability distribution?
a.) The probability of success remains the same in all trials.
b.) The trials must be dependent.
c.) Each trial must have all outcomes classified into two categories.
d.) The procedure has a fixed number of trials.
Which of the following is not a requirement of the binomial probability distribution?
a.) The probability of success remains the same in all trials.
b.) The trials must be dependent.
c.) Each trial must have all outcomes classified into two categories.
d.) The procedure has a fixed number of trials.
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A salesperson makes four calls per year. A sample of 100 days given the following frequencies of sales volumes.
| Number of Sales | Observed Frequency (days) |
| 0 | 30 |
| 1 | 32 |
| 2 | 25 |
| 3 | 10 |
| 4 | 3 |
| TOTAL | 100 |
Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial distribution. The Binomial distribution is represented by:
For this exercise, assume that the population has a binomial probability distribution with n=4, p=0.30 and x= 0, 1, 2, 3 and 4.
(a) Compute the expected frequencies for x=0, 1, 2, 3 and 4 by using the binomial probability function. Combine categories if necessary to satisfy the requirement that the expected frequency is five or more for all categories.
(b) Use the goodness of fit test to determine whether the assumption of a binomial probability distribution should be rejected. Because no parameters of the Binomial probability distribution were estimated from the sample data, the degrees of freedom are k-1 .
