Solve the problem.
-The probability of winning a certain lottery is $\frac { 1 } { 70,422 }$ . For people who play 545 times, find the mean number of wins.
A) 129.2
B) 0.0018
C) 0.0077
D) 0.000014

Question

Quizplus · Accepted Answer

Let X be the number of wins, then X follows a binomial distribution with parameters n = 545 and p = 1/70,422.

The mean of a binomial distribution is μ = np.

Thus, μ = 545 × 1/70,422 ≈ 0.0077.

Therefore, the mean number of wins is approximately 0.0077.

The best choice is C.

Solve the Problem 170,422\frac { 1 } { 70,422 }70,4221​ for People Who Play 545 Times, Find the Mean

Solve the Problem $\frac { 1 } { 70,422 }$ for People Who Play 545 Times, Find the Mean