There are 5 radar stations and the probability of a single radar station detecting an enemy plane is 0.65. What is the probability of 3 stations detecting an enemy plane? Round your answer to nearest hundredth.
A)0.01
B)0.65
C)0.12
D)0.34
E)0.03

Question

Quizplus · Accepted Answer

We can use the binomial probability formula to calculate the probability of 3 out of 5 radar stations detecting an enemy plane:
P(3 stations detecting plane) = (5 choose 3) * 0.65^3 * 0.35^2
= 10 * 0.274625 * 0.1225
= 0.337125
Rounding to the nearest hundredth, we get 0.34. Therefore, the answer is D - 0.34.

There Are 5 Radar Stations and the Probability of a Single