QMB3200 Ch. 5 HW
The table above shows the numbers fish caught that were within the size limit to keep on a four hour charter out of Shell Point, FL. What is the standard deviation for the number fish caught?
.927
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that less than two families have life insurance?
0.0031
Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will not receive any junk mail tomorrow?
0.0136
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain one or two chocolate chips?
0.1033
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that exactly five customers will arrive during the next 30 minutes?
0.1487
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain exactly four chocolate chips?
0.1681 (e^-5.2 * 5.2^4 / 4!)
Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will receive one or two pieces of junk mail tomorrow?
0.1838
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that three or four customers will arrive during the next 30 minutes?
0.1888
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that exactly two customers will arrive during the next 15 minutes?
0.2087
The table above shows the numbers fish caught that were within the size limit to keep on a four hour charter out of Shell Point, FL. What is the probability that on a randomly selected day, you will catch 3 or fewer fish?
0.344 (Total freq of 3 & fewer fish / total)
According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the probability that none of these drivers are uninsured?
0.3479
According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the probability that exactly one of these mortgages is delinquent?
0.3892
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?
0.5820
A custom home builder has the following ratings, in number of stars, from reviewers: What is the probability that a randomly selected review is more than 2 stars?
0.72
According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the standard deviation of this distribution?
0.8850
According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the standard deviation of this distribution?
0.918
According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure. A random sample of eight mortgages was selected. What is the probability that less than three of these mortgages are delinquent?
0.9513
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips?
0.9658
According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the mean of this distribution?
0.98
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minutes. What is the probability that more than one customer will arrive during the next 30 minutes?
0.9877
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the standard deviation of this distribution?
1.031
A custom home builder has the following ratings, in number of stars, from reviewers: What is the standard deviation of this distribution?
1.33
A custom home builder has the following ratings, in number of stars, from reviewers: What is the mean of this distribution?
3.14
The table above shows the numbers fish caught that were within the size limit to keep on a four hour charter out of Shell Point, FL. What is the mean number of fish caught on these trips?
3.75
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the mean of this distribution?
4.62
Continuous random variables have outcomes that typically take on whole numbers as a result of conducting an experiment.
False
The mean and the variance are equal for a ________ probability distribution.
Poisson
Which of the following is not a characteristic of a Poisson experiment?
The number of occurrences during one interval has to be dependent of the number of occurrences in any other interval.
Which of the following is not a characteristic of a binomial experiment?
The probability of a success must exceed the probability of a failure.
An expected value is another term for the mean of a probability distribution.
True
If you are counting the number of customers visiting your store on a given day, you are working with discrete data.
True
Rating the satisfaction of a restaurant meal on a 1-5 scale is an example of a discrete random variable.
True
Testing whether a part is defective or not defective after it has been manufactured would be best described using a binomial probability distribution.
True
The number of typographical errors found in a manuscript would best be described using a Poisson probability distribution.
True
When the discrete random variable is expressed in terms of dollars, the mean of the distribution is known as the ________________________.
expected monetary value
The ________ of a discrete probability distribution measures the dispersion of each outcome of the random variable from the mean of the distribution.
standard deviation
