Homework SourseThe accompanyingtable describes results from eight offspring
The accompanyingtable describes results from eight offspring peas. The random variable x represents the number of offspring peas with green pods.
Find the probability of getting exactly 7 peas with green pods. (type a decimal)
Find the probability of getting 7 or more peas with green pods. (type a decimal)
Which probability is relevant for determining whether 7 is an unusually high number of peas with green pods, the result from part (a) or part (b)?
Is 7 an unusually high number of peas with green pods? (yes or no)
| x(# of Peeas with green pods) | P(x) |
| 0 | 0+ |
| 1 | 0+ |
| 2 | 0.004 |
| 3 | 0.027 |
| 4 | 0.068 |
| 5 | 0.190 |
| 6 | 0.282 |
| 7 | 0.335 |
| 8 | 0.094 |
Solution
(a) Getting Exactly 7 from the table
P(X=7) = 0.335
(b) P(X>=7) = P(X=7) + P(X=8) = 0.335 +0.094 = 0.429
(c)The answer in part (b) is the one which determines whether 7 is an unusually high result.
An outcome is unusually high if it is in the upper tail of the distribution - i.e., if the probability of getting it or a higher value is small.
(d) P(X>=7) = 0.429 is greater than 0.05
Thus, 7 is not an unusually high number of peas with green pods.
