Probability Test

Result

Probability Test - 8

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0.25

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

A
0.35

B
0.32

C
0.37

D
0.29

Solution

We have ,
P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4
Question 2
1 / -0.25

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 ……

A
Random variable

B
Real numbers

C
Random experiment

D
Non-negative integers

Solution

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.
Question 3
1 / -0.25

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

A
Random variable, non-negative integers

B
Random variable, real numbers

C
Real numbers, real numbers

D
Random experiment, real numbers

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
1 / -0.25

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

A

B

C

D

Solution
Question 5
1 / -0.25

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

A
1/8

B
8

C
0

D
4

Solution
Question 6
1 / -0.25

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:

A
1 &2

B
0, 1 &2

C
0, 1, 2 &3

D
1, 2 &3

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
1 / -0.25

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

A
–1

B
1/5

C
1/10

D
1/7

Solution
Question 8
1 / -0.25

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

A
Random variable

B
Discrete random variable

C
Continuous random variable

D
Random experiment

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
1 / -0.25

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

A
0.2

B
0.23

C
0.13

D
0.45

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
1 / -0.25

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

A

B

C

D

Solution

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 , …, x_n with the corresponding probabilities p₁ , p₂ , p₃ , …, p_n . Then P₁ + P₂ + P₃ +…..+ P_n = 1