1) For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05?
a.Is it "significant" to get a 12 when a pair of dice is rolled?

b. Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a school bus to arrive late?

2) If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. What is the probability of getting at least one head?

3) A sample space consists of 64 separate events that are equally likely. What is the probability of each?

4) A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

5) The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.

6) Suppose you have an extremely unfair coin: The probability of a head is ¼ and the probability of a tail is ¾. If you toss the coin 32 times, how many heads do you expect to see?

Solution Summary

The solution provides detailed explanation how to figure out multiple probability questions.

For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x.
1. Determine P (x = 4).
a. 0.05 b. 0.10 c. 0.15 d. 0.20
2. Find P (x >= 4).
a. 0.60 b. 0.45 c. 0.75 d. 0.55
3. What is P (2 < x <= 5)?
a. 0.70

(1) There are 20 questions in a multiple choice test. Each question has five choices and one correct answer of these five choices. A student did not study. He/she answers the questions at random. What are the probability that he/she makes...more than 10 answers right?exactly eight right?at most 7 right?
(2)A can company repor

1. A True-False test was developed for a Risk Management class. A student, who didn't study, decided to randomly guess the answer on each question. Assume that the probability that the student guess correctly on each question is 50%. The exam has 20 questions. A correct answer adds 1 to the test score, an incorrect answer adds 0

Attached is a table showing the prevalence of Alzheimer's disease.
Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community.
1. What is the probability that all three of these individuals have Alzheimer's disease?
2. What is the probability that at least one of t

Give a probability distribution for the following:
In 1992, the Big 10 collegiate sports conference moved to have women compose at least 40% of its athletes within 5 years. Suppose they exactly achieve the 40% figure, and that 5 athletes are picked at random from Big 10 universities. The number of women is recorded.
For th

A standardized test consists entirely of multiple-choice questions, each with 5 possible choices. You want to ensure that a student who randomly guesses on each question will obtain an expected score of zero. How would you accomplish this?

What is the probability that you will receive an "A" grade?
Explain the factors you have used in arriving at this probability assessment.
Do you believe that all students in your class will arrive at the same probability assessment that you have? Why or why not?
Explain what is meant by subjective probability. Research t

(1) An instructor obsessed with the metric system insists that all multiple-choice questions have 10 different possible answers and only one is correct. What is the probability of answering correctly if a random answer is picked?
An event is unusual if probability is 0.05 or less, so is it unusual to answer the question by c

A test consists of multiple-choice questions, each having four possible answers (a,b,c,d) one of which is correct. Assuming that you guess the answers to six such questions.
a.) Use the multiplication rule to find the probability that the first two guesses are wrong and the last four guesses are correct. That is, find P (WWC