i need help with this A programmer makes two wrong entries e

i need help with this

A programmer makes two wrong entries every hour, on the average. Find the probability that during the next five hours she will make: What type of distribution should be used? What is the probability of fewer than eight wrong entries. P(X 4)? What is the probability of between three to five (inclusive) wrong entries. P(3

Solution

poisson distribution should be used with parameter 2*5=10

a) P[X<8]=0.220221

b)P[X>=4]=1-P[X<=3]=1-0.0103361=0.9896639

c)P[3<=X<=5]=P[X=3]+P[X=4]+P[X=5]=0.0075667+0.0189166+0.0378333=0.0643166

d)P[X>1]=1-P[X<=1]=1-0.0004994=0.9995006