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## 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: