Maths Book back answers and solution for Exercise questions - Mathematics : Probability Distributions: Types of Random Variable - Exercise Problem Questions with Answer, Solution

**EXERCISE 11.2**

**1. Three fair coins are tossed simultaneously. Find the probability mass function for number of heads occurred.**

**2. A six sided die is marked ‘1’ on one face, ‘3’ on two of its faces, and ‘5’ on remaining three faces. The die is thrown twice. If X denotes the total score in two throws, find**

**(i) the probability mass function (ii) the cumulative distribution function**

**(iii) P ( 4 ≤ X < 10) (iv) P ( X ≥ 6)**

**3. Find the probability mass function and cumulative distribution function of number of girl child in families with 4 children, assuming equal probabilities for boys and girls.**

**4. Suppose a discrete random variable can only take the values 0, 1, and 2.**

**The probability mass function is defined by**

Find (i) the value of *k* (ii) cumulative distribution function (iii) *P*( *X* ≥ 1) .

**5. The cumulative distribution function of a discrete random variable is given by**

**Find ( i) the probability mass function (ii) P( X < 1) and (iii) P( X ≥ 2) .**

**6. A random variable x has the following probability mass function.**

**Find (i) the value of k (ii) P(2 X 5) (iii) P(3< X)**

**7. The cumulative distribution function of a discrete random variable is given by**

**Find (i) the probability mass function (ii) P( X < 3) and (iii) P( X ≥ 2) .**

Tags : Problem Questions with Answer, Solution , 12th Maths : UNIT 11 : Probability Distributions

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12th Maths : UNIT 11 : Probability Distributions : Exercise 11.2: Types of Random Variable | Problem Questions with Answer, Solution

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