Make a probability distribution for the given set of events. The sums that appear when two fair four-sided dice (tetrahedrons) with sides 1, 2, 3, and 4 are tossed. Complete the probability distribution below.
Sum
Probability
2
3
4
5
6
7
8
Make a probability distribution for the given set of events. The sums that appear when two fair four-sided dice (tetrahedrons) with sides 1, 2, 3, and 4 are tossed. Complete the probability distribution below.
| Sum | Probability |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | |
| 8 |
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Related questions
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 .
three randomly selected households are surveyed the numbers of people in the households are 2,6 and 7 assume that samples of size n=2 are randomly selected with replacement from the population of 2,6 and 7 listed below are the nine different samples
2,2 2,6 2,7 6,2 6,6 6,7 7,2 7,6 7,7
A) find the variance of each of the nine samples then summerize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values
| S^2 | Probability |
| 0, 0.3, or 0.3 | |
| 1, 6.3 or 0.5 | |
| 8, 4 or 25 | |
| 40.5, 6.3 or 12.5 |
