## Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 11 Probability Distributions Ex 11.3

Question 1.
The probability density function of X is given by Find the value of k.
Solution:

Question 2.

Solution:

Question 3.
Suppose the amount of milk sold daily at a milk booth is distributed with a minimum of 200 litres and a maximum of 600 litres with probability density function

Find (i) the value of k
(ii) the distribution function
(iii) the probability that daily sales will fall between 300 litres and 500 litres?
Solution:

Question 4.

Solution:

Question 5.
If X is a random variable with probability density function f(x) given by,

Solution:

Question 6.
If X is the random variable with probability density function F(x) given by,
then find (i) the distribution function f(x)
(ii) P(0.3 ≤ X ≤ 0.6)
Solution:

### Samacheer Kalvi 12th Maths Solutions Chapter 11 Probability Distributions Ex 11.3 Additional Problems

Question 1.

Solution:

Question 2.

Solution:

Question 3.
The probability density function of a random variable x is Find
(i) k;
(ii) P(X > 10)
Solution:

Question 4.
A continuous random variable x has the p.d.f. defined by find the value of C if a > 0.
Solution: