Sarah buys some seeds 79 of the seeds of this type germinate

Sarah buys some seeds. 79% of the seeds of this type germinate. She plants 110 seeds.

Approximate the probability that eighty four or more of Sarah\'s seeds will germinate.

Solution

We first get the z score for the critical value:          
          
x = critical value =    83.5      
u = mean = np =    86.9      
          
s = standard deviation = sqrt(np(1-p)) =    4.27188483      
          
Thus, the corresponding z score is          
          
z = (x-u)/s =    -0.795901607      
          
Thus, the left tailed area is          
          
P(z >   -0.795901607   ) =    0.786955386 [ANSWER]