SOLUTION: A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the

Algebra ->  Probability-and-statistics -> SOLUTION: A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the      Log On


   

Question 1158882: A researcher believes that about 71% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at least 104 of the 145 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
np=mean or 0.71*145=102.95
the variance is np(1-p) or 102.95*0.29=29.855
without rounding, sqrt(V)=sd or 5.4640
want the z-score of 103.5 which will include 104 but not 103.
z=(103.5-102.95)/5.4640
=0.100659
want the probability greater than z, which is 0.4599
The actual result is 0.4650