x A die is thrown 10 times. Getting a numbergreater than 4 is consider

1.	x A die is thrown 10 times. Getting a numbergreater than 4 is considered a success. Findthe mean and variance of the number ofsuccesses.
Answer» Let p is probability of successand q is probability of failure Success is when we get number > 4(5 and 6)p = 2/6 = 1/3q = 1- 1/3 = 2/3 Mean of success is given byX = np = 102/3 = 20/3 Variance of success is given by= npq= 101/3*2/3= 20/9

x A die is thrown 10 times. Getting a numbergreater than 4 is considered a success. Findthe mean and variance of the number ofsuccesses.

Answer»

Let p is probability of successand q is probability of failure

Success is when we get number > 4(5 and 6)p = 2/6 = 1/3q = 1- 1/3 = 2/3

Mean of success is given byX = np = 10*2/3 = 20/3

Variance of success is given by= npq= 10*1/3*2/3= 20/9