Mimi plans on growing tomatoes in her garden. She has 15 cherry tomato seeds. Ba
ID: 3149568 • Letter: M
Question
Mimi plans on growing tomatoes in her garden. She has 15 cherry tomato seeds. Based on her experience, the probability of a seed turning into a seedling is 0.40.
(a) Let X be the number of seedlings that Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
(b) Find the probability that she gets at least 2 cherry tomato seedlings. (round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit.
Explanation / Answer
a)
n = 15
p = 0.40
q = 0.60
b)
P( x >= 2) = 1 - P(x<2)
P(x=0)= 15C0 * 0.4^0 * 0.60^15 =0.00047
P(x=1)= 15C1 * 0.4^1 * 0.60^15-1 =0.0047
P( x >= 2) = 1 -0.00517 = 0.99483