SOLUTION: In testing a lethal concentration of a chemical substance found in polluted water, it is found that a certain concentration will kill 27.8% of the fish that are subjected to it for

Algebra ->  Probability-and-statistics -> SOLUTION: In testing a lethal concentration of a chemical substance found in polluted water, it is found that a certain concentration will kill 27.8% of the fish that are subjected to it for      Log On


   



Question 1100250: In testing a lethal concentration of a chemical substance found in polluted water, it is found that a certain concentration will kill 27.8% of the fish that are subjected to it for 24 hours. If 17 fish are placed in a tank containing this concentration for 24 hours, find:
(Round your answers to four decimal places if necessary)
a. the probability that exactly 15 survived;
b. the probability that at least 14 survived;
c. the probability that at most 15 survived; and
d. the expected number of fish that survived.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can use a binomial probability to model the probability of the number of fish that survive for 24 hours,
.
.
.
P%28X%29=C%2817%2CX%29%2A%281-0.278%29%5EX%2A%280.278%29%5E%2817-X%29
.
.
.
.
.
.
.
a) P%2815%29=0.0794
b) P=P%2814%29%2BP%2815%29%2BP%2816%29%2BP%2817%29=0.2619
c) P=1-P%2816%29-P%2817%29=0.9703
d)mu=sum%28X%2AP%28X%29%2CX=1%2C17%29=12.2740