Homework answers / question archive /   1)In an experiment, a random variable represents:               2 Which of the following statements is true about a probability distribution?             3 Which of the following is not a characteristic of a binomial distribution?             4 The mean and variance are equal for:             5 Which probability distribution is applied when the probability of a success is very small?             6 In general, a discrete probability distribution requires that:             7 For a binomial probability distribution:             8 In a continuous probability distribution, the random variable:             9 For a binomial distribution with n = 15, as π changes from 0

  1)In an experiment, a random variable represents:               2 Which of the following statements is true about a probability distribution?             3 Which of the following is not a characteristic of a binomial distribution?             4 The mean and variance are equal for:             5 Which probability distribution is applied when the probability of a success is very small?             6 In general, a discrete probability distribution requires that:             7 For a binomial probability distribution:             8 In a continuous probability distribution, the random variable:             9 For a binomial distribution with n = 15, as π changes from 0

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	1)In an experiment, a random variable represents:
2				Which of the following statements is true about a probability distribution?
3				Which of the following is not a characteristic of a binomial distribution?
4				The mean and variance are equal for:
5				Which probability distribution is applied when the probability of a success is very small?
6				In general, a discrete probability distribution requires that:
7				For a binomial probability distribution:
8				In a continuous probability distribution, the random variable:
9				For a binomial distribution with n = 15, as π changes from 0.05 toward 0.50, the distribution will become:
10				For any probability distribution, the expected value is:
11				The expected value of a binomial probability distribution with n = 10 and π = .95 is:
12				The variance of a binomial probability distribution with n = 10 and π = .95 is:

PART 2

Question 1

A total of 60% of the customers of a fast food chain order a hamburger, 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?

 

Question 2

 

What must you know to develop a binomial probability distribution?

 

Question 3

 

Judging from recent experience, 5% 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?

 

Question 4

 

Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50-50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?

 

Question 5

 

The following is a binomial probability distribution with n = 3 and π = 0.20.

 

The variance of the distribution is _________.

 

Question 6

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.

 
 

 

Question 7

 

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?

 

Question 8

 

A new car was put into production. It involved many assembly tasks. Each car was inspected at the end of the assembly line and the number of defects per unit was recorded. For the first 100 cars produced, there were 40 defective cars. Some of the cars had no defects, a few had one defect, and so on. The distribution of defects followed a Poisson distribution. Based on the first 100 cars produced, about how many out of every 1,000 cars assembled should have one or more defects?

 

Question 9

 

A farmer who grows genetically engineered corn is experiencing trouble with corn borers. A random check of 5,000 ears revealed the following: Many of the ears contained no borers. Some ears had one borer; A few had two borers, and so on. The distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears. What is the probability that an ear of corn selected at random will contain no borers?

 

Question 10

 

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, 15 customers buy gasoline at this station. This situation is an example of what type of discrete probability distribution?

 

Question 11

 

What is an important similarity between the uniform and normal probability distributions?

 

Question 12

 

The average score of 100 students taking a statistics final was 70, with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of the students?

 

Question 13

 

What is the area under the normal curve between z = 0.0 and z = 1.79?

 

Question 14

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is less than 135 minutes?

 

Question 15

 

Customers of the Key Refining Company charge an average of $70 per month. The distribution of amounts charged is approximately normal, with a standard deviation of $10. What is the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83?

 

Question 16

 

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the distribution's mean?

 

Question 17

 

The annual commissions per salesperson employed by a retailer of mobile communication devices averaged $40,000, with a standard deviation of $5,000. What percent of the salespersons earn between $32,000 and $42,000?

 

Question 18

 

The average score of 100 students taking a statistics final was 70, with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored 90 or higher?

 

Question 19

 

A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?

 

Question 20

 

The weekly mean income of a group of executives is $1,000 and the standard deviation of this group is $100. The distribution is normal. What percent of the executives have an income of $925 or less?