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Welcome to the Discrete Probability MCQs Page

Dive deep into the fascinating world of Discrete Probability with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Discrete Probability, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Discrete Probability, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Discrete Probability. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Discrete Probability. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Discrete Probability MCQs | Page 5 of 10

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Q41.
The time taken to assemble a machine in a certain plant is a random variable having a normal distribution of 32 hours and a standard deviation of 3.6 hours. What is the probability that a machine can be assembled at this plant in less than 25.4 hours?

a.

0.61

b.

0.674

c.

0.298

d.

1.823

Discuss
Answer: (c).0.298
Q42.
The scores on an admission test are normally distributed with a mean of 640 and a standard deviation of 105.7. A student wants to be admitted to this university. He takes the test and scores 755. What is the probability of him to be admitted to this university?

a.

65.9%

b.

84.6%

c.

40.9%

d.

54%.

Discuss
Answer: (b).84.6%
Q43.
The annual salaries of workers in a large manufacturing factory are normally distributed with a mean of Rs. 48,000 and a standard deviation of Rs. 1500. Find the probability of workers who earn between Rs. 35,000 and Rs. 52,000.

a.

64%

b.

76.2%

c.

42.1%

d.

20%

Discuss
Answer: (c).42.1%
Q44.
Discrete probability distribution depends on the properties of ___________

a.

data

b.

machine

c.

discrete variables

d.

probability function

Discuss
Answer: (a).data
Q45.
Two t-shirts are drawn at random in succession without replacement from a drawer containing 5 red t-shirts and 8 white t-shirts. Find the probabilities of all the possible outcomes.

a.

1

b.

13

c.

40

d.

346

Discuss
Answer: (a).1
Q46.
A jar of pickle is picked at random using a filling process in which an automatic machine is filling pickle jars with 2.5 kg of pickle in each jar. Due to few faults in the automatic process, the weight of a jar could vary from jar to jar in the range 1.7 kg to 2.9 kg excluding the latter. Let X denote the weight of a jar of pickle selected. Find the range of X.

a.

3.7 ≤ X < 3.9

b.

1.6 ≤ X < 3.2

c.

1.7 ≤ X < 2.9

d.

1 ≤ X < 5

Discuss
Answer: (c).1.7 ≤ X < 2.9
Q47.
A probability density function f(x) for the continuous random variable X is denoted as _______

a.

∫ f(x)dx = ∞, -1<=x<=1

b.

∫ f(x)dx = 1, -∞<=x<=∞

c.

∫ f(x)dx = 0, -∞<=x<=∞

d.

∫ f(x+2)dx = .5, -∞<=x<=∞

Discuss
Answer: (b).∫ f(x)dx = 1, -∞<=x<=∞
Q48.
Let X is denoted as the number of heads in three tosses of a coin. Determine the mean and variance for the random variable X.

a.

4.8

b.

6

c.

3.2

d.

1.5

Discuss
Answer: (d).1.5
Q49.
A football player makes 75% of his 5-point shots and 25% his 7-point shots. Determine the expected value for a 7-point shot of the player.

a.

4.59

b.

12.35

c.

5.25

d.

42.8

Discuss
Answer: (c).5.25
Q50.
In a card game Reena wins 3 Rs. if she draws a king or a spade and 7 Rs. if a heart or a queen from an pack of 52 playing cards. If she pays a certain amount of money each time she will lose the game. What will be the amount so that the game will come out a fair game?

a.

15

b.

6

c.

23

d.

2

Discuss
Answer: (d).2
Page 5 of 10

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