In a study conducted by UCLA,it was found that 25% of college freshmen support increased military spending.If 6 college freshmen are randomly selected,find the probability that: Exactly 3 support increased military spending
A).0330
B).1318
C).7844
D).9624

Question

Quizplus · Accepted Answer

The given problem follows the binomial distribution. Let p be the probability of a freshman supporting increased military spending, then p=0.25 and q=1-p=0.75 (probability of not supporting increased military spending).
The probability of getting exactly 3 freshmen supporting increased military spending out of 6 can be calculated using the binomial distribution formula:
P(X=3) = (6C3) * (0.25)^3 * (0.75)^3
= (6!/3!3!) * (0.25)^3 * (0.75)^3
= 20 * 0.015625 * 0.421875
= 0.1318359375
≈ 0.1318
Hence, the best choice is B.

In a Study Conducted by UCLA,it Was Found That 25