Question

a coin is tossed 4 times find the mean variance and probability distribution

Answer 1

Answer:

Step-by-step explanation:

x" indicates the number of heads appearing on tossing an unbiased coin four times.

[Since you are required to find the expected value of the number of heads, the variable would represent the number of heads.]

The number of tails appearing can be either

0 when no heads appear

1 when 1 head appears

2 when 2 heads appear

3 when 3 heads appear

4 when 4 heads appear

⇒ The values carried by the variable ("x") would be either 0, 1, 2, 3 or 4  

⇒ "X" is a discrete random variable with range = {0, 1, 2, 3, 4}

"X" represents the random variable and P(X = x) represents the probability that the value within the range of the random variable is a specified value of "x"

In the experiment of tossing an unbiased coin four times  

Total no. of possible choices=2*2*2*2=16

No. of favorable choices=No. of ways in which the four letters of the word HHHH can be permuted==n!a

Answer 2

1/16

Sorry I don't know this is right or wrong if wrong then plz forgive me............