In a certain class 27% of the students are left-handed. suppose that a random sample of 53 students is selected. Find the mean number of left-handed students in the class. Round your answer to the nearest integer.

Pls help!

53 * .27 = ?

To find the mean number of left-handed students in the class, we'll use the formula for the mean of a probability distribution.

The probability of a random student being left-handed is 27% or 0.27. Let's denote the number of left-handed students in the sample as X. Since we have a random sample of 53 students, X follows a binomial distribution with parameters n = 53 (sample size) and p = 0.27 (probability of success).

The mean of a binomial distribution is given by the formula μ = n * p. So, to find the mean number of left-handed students, we will calculate:

μ = 53 * 0.27

μ ≈ 14.31

Rounding μ to the nearest integer, we get the mean number of left-handed students in the class as 14.