Probability Distributions MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Probability Distributions, a fundamental topic in the field of Business Statistics. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Probability Distributions MCQs are designed to help you grasp the core concepts and excel in solving problems.

In this section, you'll find a wide range of Probability Distributions mcq questions that explore various aspects of Probability Distributions problems. Each MCQ is crafted to challenge your understanding of Probability Distributions principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Business Statistics tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Probability Distributions MCQs are your pathway to success in mastering this essential Business Statistics topic.

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Probability Distributions MCQs | Page 4 of 9

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Q31.
Consider the probability distribution as standard normal, if the value of μ is 75, the value of x is 120 with the unknown standard deviation of distribution then the value of z-statistic

a.

will be one

b.

will be zero

c.

will be negative

d.

will be positive

Discuss
Answer: (d).will be positive
Q32.
If the value of p is 0.60 and value of n is 3 whereas the random variable x is equal to 4 then the value of z-score of distribution is

a.

1.59

b.

2.59

c.

2.68

d.

0.59

Discuss
Answer: (b).2.59
Q33.
For a rectangular or uniform distribution, the value of interval a is 7 and the value of interval b is 8 then the value of mean for the distribution is

a.

1.33

b.

3.33

c.

2.33

d.

4.33

Discuss
Answer: (d).4.33
Q34.
The condition for negative exponential distribution considering mean (μ) is that

a.

μ must be less than zero

b.

μ must be greater than one

c.

μ must be greater than zero

d.

μ must be smaller than twp

Discuss
Answer: (c).μ must be greater than zero
Q35.
If the mean of binomial probability distribution is 25 then the mean of Poisson probability distribution is

a.

70

b.

50

c.

25

d.

50

Discuss
Answer: (c).25
Q36.
If the value of x is less than μ of standard normal probability distribution then the

a.

z-statistic is negative

b.

z-statistic is positive

c.

f(x) will be even number

d.

f(x) will be prime number

Discuss
Answer: (a).z-statistic is negative
Q37.
The 2600 applications for home mortgage are received by a bank and the probability of approval is 0.78 then the standard deviation of binomial probability distribution is

a.

2028

b.

546.16

c.

446.16

d.

646.16

Discuss
Answer: (c).446.16
Q38.
The type of continuous distribution in which the probability is constant is classified as

a.

rectangular distribution

b.

square distribution

c.

open frequency distribution

d.

class frequency distribution

Discuss
Answer: (a).rectangular distribution
Q39.
If the value of interval a is 4 and the value of interval b is 5 then the variance of uniform distribution is

a.

6.75

b.

4.75

c.

5.75

d.

0.75

Discuss
Answer: (a).6.75
Q40.
The formula such as mn ⁄ (m + n)² (m + n + 1) is used to calculate

a.

variance in exponential distribution

b.

variance in alpha distribution

c.

variance in gamma distribution

d.

variance in beta distribution

Discuss
Answer: (d).variance in beta distribution
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