Discrete Distributions

Which of the following is the first requirement for a probability distribution?

Compute the probability of X successes, using the binomial formula.

n=10, x = 5, p = 0.37

Answer explanation

0.17

1.    College Education and Business World Success R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find these probabilities.

a. Exactly 2 people will agree with that statement.

b. At most 3 people will agree with that statement.

Answer explanation

a. 0.34560000

b. 0.2592

0.3456

0.2304

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

• ₁₀₀C₇₀ ( 0.90 )⁷⁰ ( 0.18 )³⁰

• ₁₀₀C₇₀ ( 0.90 )⁶⁰ ( 0.10 )³⁰

• ₁₀₀C₇₀ ( 0.90 )⁷⁰ ( 0.10 )³⁰

• ₉₉C₇₀ ( 0.90 )⁷⁰ ( 0.10 )³⁰

Which of the following is NOT a condition of the Binomial distribution?

• All trials must be independent.

• Each trial must be classified as a success or a failure.

• All trials are dependent on each other.

• The number of successes in the trials is counted.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

Which of the following are conditions for a geometric distribution?

• All trials must be independent of each other.

• The probability of success is the same for each trial.

• There are a set number of trials.

• Trials continue until a success occurs.

The McDonald's Monopoly game has a 1 in 4 chance of winning.  What is the probability your first win is on your third attempt?

• .1406

• .0156

• .2500

• .0352

Given 13% of people are left-handed.  What is the probability the first left-handed person will be the sixth person polled?  

• .0564

• .1116

• .0001

• .0648

Which of the following are conditions of a Poisson distribution?

• the experiment consists of counting the number of times an event occurs within a given interval

• The probability of the event occurring is the same for each interval

• the number of events occurring in one interval is independent of the events occurring in the other

• The mean is different for each interval.