# Test: Distribution Of Random Variables

## 10 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Distribution Of Random Variables

Description
This mock test of Test: Distribution Of Random Variables for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: Distribution Of Random Variables (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Distribution Of Random Variables quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Distribution Of Random Variables exercise for a better result in the exam. You can find other Test: Distribution Of Random Variables extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

### If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find P(A ∩ B)

Solution:

We have ,
P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4 QUESTION: 2

Solution:
QUESTION: 3

### Random variable is a real valued function whose domain is the sample space of a ……… and range is the set of ………​

Solution:

A random variable is a numerical description of the outcome of a statistical experiment. It can be any outcome from some chance process, like how many heads will occur in a series of 20 flips etc. So as it is related to the chance of an event. Therefore its domain is the sample space of random experiment and as chance of occuring can never be a fraction or a negative number. So range is the set of real numbers.

QUESTION: 4

The probability distribution of the number of heads in three tosses of a coin is:

Solution:
QUESTION: 5

A random variable X has the following probability distribution: Then k =?​

Solution: QUESTION: 6

An urn contains 3 red and 2 black balls. Two balls are randomly drawn. Let X represents the number of black balls. The possible values of X are:​

Solution:

The number of ways in which two balls can be represented are {(RR), (RB), (BR), (BB)}
Let X represent the number of black balls. Possible values of X are:
X (RR) = 0, X (RB) = 1,
X(BR) 1 and X (BB) = 2.
Therefore the possible values of X are 0, 1 and 2.

QUESTION: 7

A random variable X has the probability distribution: Then the value of k is:​

Solution: QUESTION: 8

If a random variable X assumes all possible values in a given interval, then it is called ………​

Solution:

As we known that a random variable which can assume all possible values within a given interval is called a continuous random variable.

QUESTION: 9

A random variable X has the probability distribution: Then the value P(X ≥ 5) is:​

Solution:

P(5) = 0.01, P(6) = 0.02, P(7) = 0.17
P(X ≥ 5) = P(5) + P(6) + P(7)
= 0.01 + 0.02 + 0.17
= 0.20

QUESTION: 10

If a random variable X assume values x1, x2, x3, …, xn with the corresponding probabilities p1, p2, p3, …, pn. Then

Solution: