Probability and Statistical Distributions Quiz

Test your knowledge on probability, distributions, mean, median, mode, variance, and hypothesis testing with these quiz questions!

#1

What is the probability of rolling a 6 on a fair six-sided die?

1/6
1/5
1/3
1/2
#2

In a standard deck of playing cards, how many face cards are there?

10
12
15
16
#3

What is the probability of drawing a red card from a standard deck of 52 cards?

1/13
1/4
1/2
1/26
#4

What is the mode of the following set of numbers: {4, 6, 6, 8, 9, 9, 9, 11}?

6
8
9
11
#5

What is the probability of rolling an odd number on a fair six-sided die?

1/6
1/3
1/2
2/3
#6

What is the mean of the following set of numbers: {2, 4, 6, 8, 10}?

4
6
8
10
#7

Which distribution is commonly used to model the number of successes in a fixed number of independent Bernoulli trials?

Normal distribution
Binomial distribution
Poisson distribution
Exponential distribution
#8

A coin is flipped three times. What is the probability of getting exactly two heads?

1/4
1/2
3/4
1/8
#9

Which of the following is NOT a measure of central tendency?

Mean
Median
Mode
Variance
#10

What is the standard deviation of the numbers 1, 3, 5, 7, 9?

2
2.5
3
3.5
#11

What is the expected value of a discrete random variable?

The most likely value
The average value over many trials
The smallest value
The largest value
#12

What is the area under the normal distribution curve?

0.5
1
0
It is infinite
#13

In hypothesis testing, what does the p-value represent?

Probability of making a Type I error
Probability of making a Type II error
Probability of observing the data given that the null hypothesis is true
Probability of rejecting the null hypothesis when it is true
#14

What is the complement of an event?

The event itself
The probability of the event not occurring
The inverse of the event
The total number of outcomes
#15

What is the significance level in hypothesis testing?

The probability of making a Type I error
The probability of making a Type II error
The probability of correctly rejecting the null hypothesis
The level of confidence for accepting the alternative hypothesis

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