SOLUTION: It is known that 60% of mice inoclated with a serum are protected from a certain disease. if 5 mice are inoculated find the probability that (a) none contracts the disease, (b) few

Algebra ->  Probability-and-statistics -> SOLUTION: It is known that 60% of mice inoclated with a serum are protected from a certain disease. if 5 mice are inoculated find the probability that (a) none contracts the disease, (b) few      Log On


   

Question 355281: It is known that 60% of mice inoclated with a serum are protected from a certain disease. if 5 mice are inoculated find the probability that (a) none contracts the disease, (b) fewer than 2 contract the disease and (c) more than 3 contract the disease
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

P=0.6, protected
P=0.4, not protected
a) P(5 protected)=1%2A%280.4%29%5E0%2A%280.6%29%5E5=0.0778
.
.
b) Fewer than two, means zero or 1 mice not protected.
P(0 not protected)=P(5 protected)=0.0778
P(1 not protected)=P(4 protected)=5%2A%280.4%29%5E1%2A%280.6%29%5E4=0.2592
P=P%285%29%2BP%284%29=0.33696
.
.
c)More than 3 contract means, only zero or 1 mice protected.
P(0 protected)=1%2A%280.4%29%5E5%2A%280.6%29%5E0=0.0102
P(1 protected)=5%2A%280.4%29%5E4%2A%280.6%29%5E1=0.0768
P=P%280%29%2BP%281%29=0.08704