Test: Distribution Of Random Variables - Commerce MCQ

# Test: Distribution Of Random Variables - Commerce MCQ

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## 10 Questions MCQ Test - Test: Distribution Of Random Variables

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Test: Distribution Of Random Variables - Question 1

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

Detailed Solution for Test: Distribution Of Random Variables - Question 1

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

Test: Distribution Of Random Variables - Question 2

### If S is the sample space associated with a random experiment. Then a real valued function which assign to each element of S, a unique real number is called a ……​

Detailed Solution for Test: Distribution Of Random Variables - Question 2

If S is the sample space associated with a random experiment. Then a real valued function which assign to each element of S, a unique real number is called a random variable.

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Test: Distribution Of Random Variables - Question 3

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

Detailed Solution for Test: Distribution Of Random Variables - Question 3

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.

Test: Distribution Of Random Variables - Question 4

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

Detailed Solution for Test: Distribution Of Random Variables - Question 4

Test: Distribution Of Random Variables - Question 5

A random variable X has the following probability distribution:

Then k =?​

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Test: Distribution Of Random Variables - 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:​

Detailed Solution for Test: Distribution Of Random Variables - Question 6

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.

Test: Distribution Of Random Variables - Question 7

A random variable X has the probability distribution:

Then the value of k is:​

Detailed Solution for Test: Distribution Of Random Variables - Question 7

Test: Distribution Of Random Variables - Question 8

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

Detailed Solution for Test: Distribution Of Random Variables - Question 8

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

Test: Distribution Of Random Variables - Question 9

A random variable X has the probability distribution:

Then the value P(X ≥ 5) is:​

Detailed Solution for Test: Distribution Of Random Variables - Question 9

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

Test: Distribution Of Random Variables - Question 10

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

Detailed Solution for Test: Distribution Of Random Variables - Question 10

The sum of all the probabilities of all the events of an experiment is 1. If a random variable X assume values x1, x2, x3, …, xn with the corresponding probabilities p1, p2, p3, …, pn. Then P1 + P2 + P3 +…..+ Pn = 1

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