In: Statistics and Probability
Four identical six-sided dice, each with faces marked 1 to 6 are rolled 200 times. At each rolling, a record is made of the number of dies whose score on the uppermost face is even. The result is as follows.
| No. Of even score, Xi | Frequency, fi |
| 0 | 10 |
| 1 | 41 |
| 2 | 70 |
| 3 | 57 |
| 4 | 22 |
a) Explain why the binomial model might describe the distribution of X.
b) Perform the ?2 -test at ? = 0.05 to test whether the sample used comes from a binomial.