Word Problem

Question

A gardener buys a package of seeds. 68% of the seeds of this germinate. The gardener plants 90 seeds. Find the probability that the proportion of seeds that germinate is between 65% and 73.5%

Answer 1

Keep in mind that the standard deviation for this problem = Sqr(p*q/n)

 

n= 90

p=.68

q=.32

p*q/n = .0024178

sqr(.0024178) = .0492

 

(.65-.68)/.0492 = -.61 standard deviations

(.735- .65)/.0492 = 1.727 standard deviations

 

Looks like the probability is about 60%.