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# Questions on probability distributions - Binomial, Poisson

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1 The Kwik Klean Car Wash loses \$30 on rainy days and gains \$120 on days when it does not rain. If the probability of rain is 0.15, what is the expected value of net profit?
2. The Newman Construction Company bids on a job to construct a building. If the bid is won, there is a 0.7 probability of making a \$175,000 profit and there is a probability of 0.3 that the contractor will break even. What is the expected value?
3. Assume that in a binomial experiment, a trial is repeated n times. Find the probability of x successes given the probability p of success on a given trial with n = 12, x = 7 and p = 0.4. (Use Table A-1)
4. Several students are unprepared for a true/false test with 50 questions, and all of their answers are guesses. Find the mean, variance and standard deviation for the number of correct answers for such students.
5. A statistics professor finds that when she schedules an office hour for student help, an average of two students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is five.

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The solution provides answers to questions on probability distributions - binomial, Poisson.

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1. The Kwik Klean Car Wash loses \$30 on rainy days and gains \$120 on days when it does not rain.
If the probability of rain is 0.15, what is the expected value of net profit?

Expected profit=15%*(-30)+(1-15%)*(120)=
\$97.50

2. The Newman Construction Company bids on a job to construct a building.
If the bid is won, there is a 0.7 probability of making a \$175,000 profit and there is a probability
of 0.3 that the ...

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.