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Exam 5: Discrete Probability Distributions

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Question 51

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i. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable. Ii) If we toss two coins and count the number of heads, there could be 0, 1 or 2 heads. Since the exact number of heads resulting from this experiment is due to chance, the number of heads appearing is a random variable. Iii) A random variable may be either discrete or continuous.

A) (i) , (ii) and (iii) are all correct statements
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and, (iii) are correct statements but not (ii) .
D) (ii) and, (iii) are correct statements but not (i) .
E) All statements are false

F) A) and B)
G) A) and C)

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Question 52

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A machine shop has 100 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.0555. During some days no machines are inoperative, but during some days, one, two, three or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day?

A) 0.0200
B) 0.1637
C) 0.8187
D) 0.9824
E) None of the choices are correct

F) C) and E)
G) C) and D)

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Question 53

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The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsightly blemishes often appear because of improper mixture or other problems. A worker counted the number of blemishes on each door. Most doors had no blemishes; a few had one; a very few had two, and so on. The average number was 0.5 per door. The distribution Of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about how many would have no blemishes?

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that exactly one woman is selected?

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high- speed machine are defective. If six keyboards are randomly selected, what is the probability that none of the keyboards are defective?

In a Poisson distribution the mean is equal to

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 variance of the number of days absent?

A multiple-choice test consists of five questions, each with A-E answers. If you guess the answer to each question, what is the probability of getting three or more questions correct?

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are: On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening?

Which one of the following is NOT a condition of the binomial distribution?

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?

i. The probability of a particular outcome, designated X, must always be between 0 and 100 inclusive. ii. A random variable is a quantity resulting from a random experiment that can assume different values by chance. Iii) The mean of a probability distribution is referred to as its expected value.

If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?

i. A random variable is assigned numerical values based on the outcomes of an experiment. ii. A random variable is a quantity resulting from a random experiment that can assume different values by chance. Iii) The mean of a probability distribution is referred to as its expected value.

The total of the probabilities of all possible events is_____ .

Sixty percent of the customers of a fast food chain order the Whopper, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

In a binomial experiment, probability of_____ or_____ remains constant from one trial to another.

The Poisson distribution or, the law of improbable events, has______ skewed shape.

In a binomial experiment, the probability of a failure equals ______.

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