Test: Theoretical Distributions- 5


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40 Questions MCQ Test Business Mathematics and Logical Reasoning & Statistics | Test: Theoretical Distributions- 5

Test: Theoretical Distributions- 5 for CA Foundation 2022 is part of Business Mathematics and Logical Reasoning & Statistics 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 2022 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

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 

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 a Poisson distribution is fitted to the following data:


Then the sum of the expected frequencies for x = 0, 1 and 2 is

Test: Theoretical Distributions- 5 - Question 30

 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 31

 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 31

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

Test: Theoretical Distributions- 5 - Question 32

The salary of workers of a factory is known to follow normal distribution with an average salary of Rs.10,000 and standard deviation of salary as Rs.2,000. If 50 workers receiver salary more than Rs.14,000, then the total no. of workers in the factory is 

Test: Theoretical Distributions- 5 - Question 33

The number of accidents in a year attributed to taxi drivers in a locality follows Poisson distribution with an average 2. Out of 500 taxi drivers of that area, what is the number of drivers with at least 3 accidents in a year?

Test: Theoretical Distributions- 5 - Question 34

 If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x ≥ 1/ x > 0)?

Test: Theoretical Distributions- 5 - Question 35

X is a Poisson variate satisfying the following condition 9 P ( x = 4) + 90 P ( x = 6) = P (X = 2 ). What is the value of P (X = 1)? 

Test: Theoretical Distributions- 5 - Question 36

In a sample of 800 students, the mean weight and standard deviation of weight are found to be 50 kg and 20 kg respectively. On the assumption of normally, what is the number of students weighing between 46 Kg and 62 Kg? Given area of the standard normal curve between z = 0 to z 0.20 = 0.0793 and area between z = 0 to z = 0.60 = 0.2257.

Test: Theoretical Distributions- 5 - Question 37

For a standard normal variate, the value of mean is? 

Detailed Solution for Test: Theoretical Distributions- 5 - Question 37

For a normal variate, if its mean = 0 and standard deviation = 1, then its called as Standard Normal Variate. Here, the converse is asked.

Test: Theoretical Distributions- 5 - Question 38

For a normal distribution with mean as 500 and SD as 120, what is the value of k so that the interval [500, k] covers 40.32 per cent area of the normal curve? Given Φ (1.30) = 0.9032.

Test: Theoretical Distributions- 5 - Question 39

In 10 independent rollings of a biased die, the probability that an even number will appear 5 times is twice the probability that an even number will appear 4 times. What is the probability that an even number will appear twice when the die is rolled 8 times?

Test: Theoretical Distributions- 5 - Question 40

 A renowned hospital usually admits 200 patients every day. One per cent patients , on an average, require special room facilities. On one particular morning, it was found that only one special room is available. What is the probability that more than 3 patients would require special room facilities?

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