The accompanying table describes the results from eight offs

The accompanying table describes the results from eight offspring peas. The random variable x represents the number of offspring peas with green pods. Complete parts (a) through (d). Find the probability of getting exactly 7 peas with green pods. Find the probability of getting 7 or more peas with green pods 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? Why or why not? Use 0.05 as the threshold for an unusual event.

Solution

(a) The probability of exactly 7 peas with green pods is P(X=7)=0.325

(b) The probability of exactly 7 or more peas with green pods is P(X=7)+P(X=8)=0.325+0.004=0.329

(c) Option (b)

(d) An event with a probability less than 5% is said to be unusual. So option A is correct.