Probability Binomial

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

• 3.42

• 1.03

• 0.072

• 0.199

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373

• 0.3955

• 0.7627

• 0.6045

Which of the following could be examples of binomial probabilities? (Select all that apply.)

• P(success) = 0.99, P(failure) = 0.01

• P(A) = 0.4, P(B) = 0.4

• P(A )= 1/3, P(B) = 1/3, P(C) = 1/3

• P(3) = 1/6, P(not 3) = 5/6

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

n=10, x = 5, p = 0.37

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Answer explanation

0.17

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125

• .15625

• .3125

• .1875

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

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.

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Answer explanation

a. 0.34560000

b. 0.2592

0.3456

0.2304

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

Choose the correct sign

'probability at least 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability at most 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)