Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

The mean of the number of heads in a simultaneous toss of three coins is

Options:

$\frac{3}{2}$

$\frac{1}{2}$

2

4

Correct Answer:

$\frac{3}{2}$

Explanation:

The correct answer is Option (1) → $\frac{3}{2}$ **

$\text{Let }X=\text{ number of heads in 3 tosses.}$

$X\text{ takes values }0,1,2,3\text{ with binomial distribution }B(3,\frac{1}{2}).$

$\text{Mean of a binomial distribution}=np$

$=3\cdot\frac{1}{2}$

$=\frac{3}{2}$

The mean of the number of heads is $\frac{3}{2}$.