Exam 10: Statistics and Probability

Find the probability. -The maker of a certain candy claims that the proportions of colors of candy produced are: 0.1 red, 0.3 blue, 0.2 green, and 0.4 yellow. What is the probability that a randomly selected candy from a newly-opened bag Will be green?

Find the median for the given sample data. -A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 56, 18, 221, 189, 280, 244, 235 Find the median number of newspapers sold.

Describe the shape of the distribution. -A histogram is given below for the weights of a sample of college students.

Find the normal probability using a grapher. -P(z < 1.25)

Identify whether the average described is a mean, median, or mode. -The average British man likes to watch soccer.

Find the mean for the given sample data. -The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find his mean study time. 1)5 8.9 6.7 1.9 4.3

Solve the problem. -What is the probability that 12 rolls of a die will show exactly three sixes?

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -Heads on the 1991 and 1997 dimes only

Solve the problem. -The test scores of 19 students are listed below. Find the interquartile range.

Solve the problem. -Each student in a sixth-grade class recorded the amount of time he or she had spent watching television during the previous week. The times (in hours) are listed below. Find the range. 24.8 11.9 8.9 24.4 19.1 28.1 17.5 14.6 19.8 17.6

Find the probability. -A 5-card hand is dealt from a deck of 52 cards. What is the probability that a) none are queens? B) all are queens?

Find the probability of the event. -If two 6-sided dice are rolled, what is the probability that both numbers are prime?

Find the median for the given sample data. -The salaries of ten randomly selected doctors are shown below. Find the median salary.

Solve the problem. -100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the Person does not work full time. 1) Public transportation: 7 full time, 8 part time 2) Bicycle: 3 full time, 4 part time 3) Drive alone: 27 full time, 35 part time 4) Car pool: 10 full time, 6 part time

Find the mean. Round to the nearest tenth. -

Find the normal probability using a grapher. -P(-1.5 < z < 2.5)

Identify the following as an experiment or an observational study. -At the opening night of a play, the owner of the theater would like to offer free theater membership to a few audience members. The owner announces that each person seated in the middle seat of a row will receive free membership to the theater. The theater consists of ten rows each with nineteen seats. There are no empty seats that night.

Solve the problem. -A and B are events in a sample space S such that P(A) = 0.47, P(B) = 0.37, and P(A and B) = 0.07. Use a Venn diagram to find the probability that neither A nor B occurs.

Find the probability. -A 5-card hand is dealt from a deck of 52 cards. What is the probability that exactly one card is a king?

Find the mean for the given sample data. -The total amount spent on advertising last year by 10 companies was $394.9 million. What was the average amount spent per company last year on advertising?