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Test: Theoretical Distributions- 5 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Theoretical Distributions- 5

Test: Theoretical Distributions- 5 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Theoretical Distributions- 5 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Theoretical Distributions- 5 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Theoretical Distributions- 5 below.
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Test: Theoretical Distributions- 5 - Question 1

The expected value of a constant k is the constant

Test: Theoretical Distributions- 5 - Question 2

The probability distribution whose frequency function f(x)= 1/n( x = x1, x2, …, xn) is known as

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Test: Theoretical Distributions- 5 - Question 3

Theoretical distribution is a

Test: Theoretical Distributions- 5 - Question 4

Probability function is known as

Test: Theoretical Distributions- 5 - Question 5

The no. of points obtained in a single throw of an unbiased die follow :

Test: Theoretical Distributions- 5 - Question 6

The no of points in a single throw of an unbiased die has frequency function

Test: Theoretical Distributions- 5 - Question 7

In uniform distribution random variable x assumes n values with

Test: Theoretical Distributions- 5 - Question 8

In a discrete random variable x follows uniform distribution and assumes only the values 8 , 9, 11, 15, 18, 20. Then P(x = 9) is

Test: Theoretical Distributions- 5 - Question 9

In a discrete random variable x follows uniform distribution and assumes only the values 8 , 9, 11, 15, 18, 20. Then P(x = 12) is

Test: Theoretical Distributions- 5 - Question 10

In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(x < 15) is

Test: Theoretical Distributions- 5 - Question 11

In a discrete random variable x follows uniform distribution and assumes only the values 8 , 9, 11, 15, 18, 20. Then P  is

Test: Theoretical Distributions- 5 - Question 12

In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(x > 15) is

Test: Theoretical Distributions- 5 - Question 13

In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(|x – 14| < 5) is

Test: Theoretical Distributions- 5 - Question 14

When f(x)= 1/n then mean is

Test: Theoretical Distributions- 5 - Question 15

In continuous probability distribution P  means

Test: Theoretical Distributions- 5 - Question 16

In continuous probability distribution F(x) is called.

Test: Theoretical Distributions- 5 - Question 17

The probability density function of a continuous random variable is y = k(x–1),  then the value of the constant k is

Test: Theoretical Distributions- 5 - Question 18

 When f(x) = 1/n then mean is 

Test: Theoretical Distributions- 5 - Question 19

 In continuous probability distribution P(x ≤ t) means 

Test: Theoretical Distributions- 5 - Question 20

 In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P( x > 15) is 

Detailed Solution for Test: Theoretical Distributions- 5 - Question 20


so for P( x > 15) = 1 - P( x < 15)
                           = 1 - 2/3
                           = 1/3

Test: Theoretical Distributions- 5 - Question 21

In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P (x ≤ 15) is 

Test: Theoretical Distributions- 5 - Question 22

The probability function of a continuous random variable is y = k ( x - 1), (1 ≤ x ≤ 2) then the value of the constant k is 

Test: Theoretical Distributions- 5 - Question 23

The no of points in a single throw of an unbiased die has frequency function 

Test: Theoretical Distributions- 5 - Question 24

 In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P(|x - 14| < 5) is 

Test: Theoretical Distributions- 5 - Question 25

In a discrete random variable x follows uniform distribution and assumes only the values 8, 9, 11, 15, 18, 20. Then P( = 9) is 

Test: Theoretical Distributions- 5 - Question 26

The number of points obtained in a single throw of an unbiased die follows:

Test: Theoretical Distributions- 5 - Question 27

In uniform distribution random variable x assumes n values with 

Test: Theoretical Distributions- 5 - Question 28

Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?

Test: Theoretical Distributions- 5 - Question 29

 If the weekly of 5000 workers in a factory follows normal distribution with mean and SD as Rs.700 and Rs.50 respectively, what is the expected number of workers with wages between Rs.660 and Rs.720?

Test: Theoretical Distributions- 5 - Question 30

 A car hire firm has 2 cars which is hired out everyday. The number of demands per day for a car follows Poisson distribution with mean 1.20. What is the proportion of days on which some demand is refused?(Given e 1.20 = 3.32).

Detailed Solution for Test: Theoretical Distributions- 5 - Question 30

P(x)  = λˣ  e^(-λ) / x!

Mean demand =   λ = 1.2

Demand is not refused if demand  is 0 , 1 or  2

Demand is refused if more than 2

Demand is not refused = P(0) + P(1) + P(2)

= 1.2⁰ *  / 0!  + 1.2¹ *

=  0.301  +  0.3614  +  0.2169

= 0.8793  

Demand is refused  1  -  0.8793  =   0.1207

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