Pre-Requisite Probability

Pre-Requisite Probability

10th - 12th Grade

28 Qs

quiz-placeholder

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Pre-Requisite Probability

Pre-Requisite Probability

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Barbara White

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #2: Suppose that the probabilities that an answer can be found on Google is 0.95, on Answers.com is 0.92, and on both websites is 0.874. Are the possibilities of finding the answer on the two websites independent?

Yes, because (0.95)(0.92) = 0.874

No, because (0.95)(0.92) = 0.874

Yes, because 0.95 > 0.92 > 0.874

No, because 0.5(0.95 + 0.92) ≠ 0.874

There is insufficient information to answer this question.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #3: Suppose 80% of jurors come to a just decision. In a jury of six people, what is the probability more than half come to a just decision?

0.09888

0.34464

0.80000

0.90112

0.98304

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #5: Which of the following are true statements?

  1. By the Law of Large Numbers, the mean of a random variable will get closer and closer to a specific value.
  2. The standard deviation of a random variable is never negative.
  3. The standard deviation of a random variable is 0 only if the random variable takes a lone single value.

1 and 2

1 and 3

2 and 3

1, 2, and 3

None of the above gives the complete set of true responses.

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #6: 53% of adults say they have trouble sleeping. If a doctor contacts an SRS of 85 adults, what is the probability that over 55% will say they have trouble sleeping?

0.3109

0.3558

0.3640

0.4000

0.6442

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #7: A television game show has three payoffs with the following probabilities:

Payoff $0 = Probability of 0.7

Payoff $500 = Probability of 0.25

Payoff $5000 = Probability of 0.05


What are the mean and standard deviation of the payoff variable?

μ = 375, σ = 361

μ = 375, σ = 1083

μ = 1833, σ = 1816

μ = 1833, σ = 2248

None of the above gives a set of correct answers.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #8: An insurance company charges $900 annually for auto policies for teenagers. The policy specifies the company will pay $1,500 for a minor accident and $8,000 for a major accident. If the probability of a teenager having a minor accident during the year is 0.15, and of having a major accident is 0.05, how much can the insurance company expect to make on 10 policies?

$275

$625

$2,750

$6,250

$9,000

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Prob #11: The owner of a coffee shop, an amateur statistician, advertises that the price of coffee on any given day will be randomly picked using a normal distribution with mean $1.35 and standard deviation $0.10. If a customer buys a cup of coffee on 10 days, what is the probability that he will pay a total exceeding $14.00?

0.0316

0.0568

0.3085

0.3160

0.9432

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