Discrete Probability Distributions

Is this a probability distribution? Answer with a Yes or No, and give a reason for your choice.

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

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

Which of the following is an example of a binomial experiment?

• Surveying 200 prisoners to see if this is their first offense.

• Asking 200 people what their favorite sport is.

For the given probability distribution, find:

a. the mean

b. variance

c. standard deviation

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Answer explanation

a. 7.4

b. 1.84

c. 1.356

1.    A landscape contractor bids on jobs where he can make $3000 profit. The probabilities of getting 1, 2, 3, or 4 jobs per month are shown. Find the contractor’s expected profit per month.                                                                  

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Answer explanation

$7200

1.    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

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

    Find the mean, variance, and standard deviation for each of the values of n and p when the conditions for the binomial distribution are met.                                       

      n=100, p=0.75

Type your final answer as follows:

Mean =

Variance =

SD =

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Answer explanation

mean = 75

variance = 18.75

SD = 4.33