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Exam 6: Discrete Probability Distributions

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Question 1

Multiple Choice

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If the variance is 3.6 grams,what is the standard deviation?

A) 0.6
B) 1.897
C) 6.0
D) 12.96

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Question 2

Multiple Choice

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Chances are 50-50 that a newborn baby will be a girl.For families with five children,what is the probability that all the children are girls?

A) 0.900
B) 0.031
C) 0.001
D) 0.250

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B

Question 3

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A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. -Given the probability distribution,which of the following predictions is correct?

The probability of a particular outcome must always be between 0 and 100 inclusive.

The Poisson distribution or,the law of improbable events,is _______________ skewed.

The variance of a binomial distribution is found by $\eta$ $\pi$ (1 - $\pi$ ).

A statistics professor receives an average of five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. -What is the probability that on a randomly selected day she will have no messages?

In a binomial experiment,the probability of a _________ remains constant.

A statistics professor receives an average of five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. -What is the probability that on a randomly selected day she will have five messages?

A statistics professor receives an average of five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution. -What is the probability that on a randomly selected day she will have two messages?

If $\pi$ = 1/5 and n = 100,what is the standard deviation of this binomial distribution? _______

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. -What is the mean number of days absent?

A random variable is assigned nominal or numerical values based on the outcomes of an experiment.

In a Poisson distribution,the probability of success may vary from trial to trial.

A random variable with a Poisson distribution has one of _______ mutually exclusive values.

For the following distribution, -What is the mean of the distribution?

What must you know to develop a binomial probability distribution?

A _______________ random variable can assume only a certain number of separated values.

A true-false test consists of six questions.If you guess the answer to each question,what is the probability of getting all six questions correct?

David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station. -What is the probability that more than ten and less than fifteen customers pay in cash?