Probability and Statistics – Practice Tests and Solutions

Course Curriculum

Chapter 1: Quiz Questions

Lecture 1: Introduction

Lecture 2: Download Tables and Reference Sheets

Chapter 2: Solutions – Quiz 1 Basic Probability

Lecture 1: Basic Probability – 1QA1 – A single die is rolled once. Find the probability ..

Lecture 2: Basic Probability – 1QA2 – A ball is drawn at random from a box containing 20 ..

Lecture 3: Basic Probability – 1QA3 – If two dice are rolled, what is the probability of ..

Lecture 4: Basic Probability – 1QA4 – If X={1,3,5,7,9} , Y={1,2,3,9,11} and Z = {5,8,9} ..

Lecture 5: Basic Probability – 1QA5 – If P(A) = 0.10, P(B) = 0.10, P(A ∪ B) = 0.18 What ..

Lecture 6: Basic Probability – 1QA6 – Which of the following events are mutually exclusive?

Lecture 7: Basic Probability – 1QA7 – If P(A) = 0.10, P(B) = 0.10, P(A∩B) = 0.02 …

Lecture 8: Basic Probability – 1QA8 – If P(A) = 0.10, P(B) = 0.10, P(A) ∩ P(B) = 0.02 …

Lecture 9: Basic Probability – 1QA9 – In a town 50% people speak English and 55% people …

Lecture 10: Basic Probability – 1QA10 – A card is drawn from a full deck of 52 cards. What

Lecture 11: Basic Probability – 1QA11 – What is the probability of a 6 turning up at least

Lecture 12: Basic Probability – 1QA12 – A fair die is tossed twice. What is the probability

Lecture 13: Basic Probability – 1QA13 – Two balls are drawn at random without replacement

Lecture 14: Basic Probability – 1QA14 – In how many ways can a committee of 4 people be …

Lecture 15: Basic Probability – 1QA15 – In how many different ways can the letters of the

Lecture 16: Basic Probability – 1QA16 – The probability that a random person has lung ..

Lecture 17: Basic Probability – 1QA17 – If you randomly draw a card from two packs below ..

Lecture 18: Basic Probability – 1QA18 – If P(A) = 0.17 and P(B) = 0.31. If P(A|B) = 0.12, ..

Lecture 19: Basic Probability – 1QA19 – A box contains 3 red and 2 blue balls while …

Lecture 20: Basic Probability – 1QA20 – A test for a rare disease is 99 percent correct …

Lecture 21: Basic Probability – 1QA21 – A welder produces welds that can have a crack …

Chapter 3: Solutions: Quiz 2: Descriptive Statistics

Lecture 1: Descriptive Statistics – 2Q1 – A class has a mean score of 65 (μ=65) and a …

Lecture 2: Descriptive Statistics – 2QA2 – In the birth register maintained by the hospital

Lecture 3: Descriptive Statistics – 2QA3 – What symbol is used to denote the mean of a …

Lecture 4: Descriptive Statistics – 2QA4 – Find the variance of the following sample data

Lecture 5: Descriptive Statistics – 2QA5 – If the standard deviation of the data is 0.36 ..

Lecture 6: Descriptive Statistics – 2QA6 – The mean of 4 numbers is 28. If three of the…

Lecture 7: Descriptive Statistics – 2QA7 – What is the median of the following data set?

Lecture 8: Descriptive Statistics – 2QA8 – What is the mode of the following data set?

Lecture 9: Descriptive Statistics – 2QA9 – What is the term used to describe the distri

Lecture 10: Descriptive Statistics – 2QA10 – Which of the following measures can have more

Lecture 11: Descriptive Statistics – 2QA11 – The mean and the standard deviation of two

Lecture 12: Descriptive Statistics – 2QA12 – Find the Inter-Quartile Range for the following

Lecture 13: Descriptive Statistics – 2QA13 – What is the mode of the data shown in the histo

Lecture 14: Descriptive Statistics – 2QA14 – What is the median of the data shown in the Box

Lecture 15: Descriptive Statistics – 2QA15 – What is the Inter-quartile Range of the data

Lecture 16: Descriptive Statistics – 2QA16 – Which of the following statement is correct

Lecture 17: Descriptive Statistics – 2QA17 – The mean of a set of numbers is 100, the mode

Lecture 18: Descriptive Statistics – 2QA18 – Calculate the standard deviation of the follow

Chapter 4: Solutions: Quiz 3: Probability Distributions

Lecture 1: Probability Distributions – 3QA1 – A manufacturer produces 10% defective items

Lecture 2: Probability Distributions – 3QA2 – A manufacturer produces 10% defective items.

Lecture 3: Probability Distributions – 3QA3 – What is the mean and the variance of a binomi

Lecture 4: Probability Distributions – 3QA4 – In flipping a fair coin 5 times what is the p

Lecture 5: Probability Distributions – 3QA5 – The average defects rate of a supplier is 6%.

Lecture 6: Probability Distributions – 3QA6 – Calculate the probability of 3 or fewer defec

Lecture 7: Probability Distributions – 3QB1 – On a booking counter on the average 3.6 peopl

Lecture 8: Probability Distributions – 3QB2 – In the formula for the Poisson Distribution

Lecture 9: Probability Distributions – 3QB3 – On a booking counter on the average 3.6 peopl

Lecture 10: Probability Distributions – 3QB4 – A data entry operator has an average error r

Lecture 11: Probability Distributions – 3QB5 – What is the distribution that has the same me

Lecture 12: Probability Distributions – 3QB6 – If the probability that the glass panel will

Lecture 13: Probability Distributions – 3QC1 – A population has a μ=45 and σ=2. If these sco

Lecture 14: Probability Distributions – 3QC2 – A random variable X has a normal distribution

Lecture 15: Probability Distributions – 3QC3 – Using the Z Table what is the value of P(z <

Lecture 16: Probability Distributions – 3QC4 – Using the Z Table what is the value of P(–0.

Lecture 17: Probability Distributions – 3QC5 – If data are normally distributed, what percen

Lecture 18: Probability Distributions – 3QC6 – Looking at the below Histogram, what is the b

Lecture 19: Probability Distributions – 3QC7 – The mean weight of 1000 students at a certain

Lecture 20: Probability Distributions – 3QC8 – The average annual rain fall in a city is 35

Lecture 21: Probability Distributions – 3QC9 – Suppose that 40% of a bolts have the tensile

Lecture 22: Probability Distributions – 3QC10 – The lifetime of a newly produced LED bulb is

Lecture 23: Probability Distributions – 3QC11 – A fair coin is tossed 45 times. What is the

Lecture 24: Probability Distributions – 3QD1 – Regarding t-distribution which of the followi

Lecture 25: Probability Distributions – 3QD2 – A battery manufacturer claims that the batter

Chapter 5: Solutions: Quiz 4: Hypothesis Basics

Lecture 1: Central Limit Theorem – 4QA1 – Bolts produced by a machine have a mean weight of

Lecture 2: Central Limit Theorem – 4QA2 – From the Minitab output below, one item (SE Mean)

Lecture 3: Central Limit Theorem – 4QA3 – One thousand bolts produced by a machine have a m

Lecture 4: Central Limit Theorem – 4QA4 – A Normal distribution has a mean of 50 and a stan

Lecture 5: Central Limit Theorem – 4QA5 – Regardless of the distribution of the individuals

Lecture 6: Central Limit Theorem – 4QA6 – The distribution of a characteristic is negativel

Lecture 7: Confidence Interval – 4QB1 – A survey was conducted in a country to determine th

Lecture 8: Confidence Interval – 4QB2 – Which of the following will result in the narrowest

Lecture 9: Confidence Interval – 4QB3 – Researchers want to determine the sleeping time eac

Lecture 10: Confidence Interval – 4QB4 – A teacher found that in a sample of 80 students, 17

Lecture 11: Hypothesis Tests Basics – 4QC1 – A medicine has 66% success rate. The compositio

Lecture 12: Hypothesis Tests Basics – 4QC2 – A lubricating oil manufacturing company continu

Lecture 13: Hypothesis Tests Basics – 4QC3 – Suppose you conducted 10 hypothesis tests, each

Lecture 14: Hypothesis Tests Basics – 4QC4 – What is the probability of a Type II error when

Lecture 15: Hypothesis Tests Basics – 4QC5 – Which of the following statements is correct re

Lecture 16: Hypothesis Tests Basics – 4QC6 – What is the difference between setting the alph

Chapter 6: Solutions: Quiz 5: Hypothesis Tests (One Sample and Two Sample)

Lecture 1: Hypothesis Tests – 5QA1 – The average breaking strength of steel rods is require

Lecture 2: Hypothesis Tests – 5QA2 – The average breaking strength of steel rods is require

Lecture 3: Hypothesis Tests – 5QA3 – The average breaking strength of steel rods is require

Lecture 4: Hypothesis Tests – 5QA4 – The average breaking strength of steel rods is require

Lecture 5: Hypothesis Tests – 5QA5 – A random sample of 15 batteries resulted in the averag

Lecture 6: Hypothesis Tests – 5QA6 – A survey claimed that 23% adults in the country read p