Exam 10: Statistics and Probability

Find the median for the given sample data. -The distances traveled (in miles) to 7 different swim meets are given below: 12, 27, 40, 49, 72, 73, 90 Find the median distance traveled.

Solve the problem. -If Elizabeth eats dinner at home tonight, there is a 5% chance that she will eat dessert. If she eats dinner at a restaurant, there is a 60% chance that she will eat dessert. Suppose that there is a 55% chance that Elizabeth will Eat out tonight. What is the probability that she will eat dessert tonight?

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

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -Heads on the 1992 dime only

Solve the problem. -The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1200 miles. What warranty should the company use if they Want 96% of the tires to outlast the warranty?

Find the mean for the given sample data. -The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data.

Find the probability of the event. -If two 6-sided dice are rolled, what is the probability that the sum is 5 or 10 ?

Determine the five-number summary of the given data. -10, 12, 15, 17, 20, 30, 15, 31, 12, 17, 20, 20, 12

Solve the problem. -A and B are events in a sample space S such that P(A) = 0.42, P(B) = 0.32, and P(A and B) = 0.22. Use a Venn diagram to find the probability that B occurs but A does not.

Find the probability of the event. -Give the probability that the roll of a die will show 3 or 1.

Identify the following as an experiment or an observational study. -Pete obtained a high correlation between the number of churches in a city (x) and the number of homicides in the past decade (y) in the city. This suggests that when a city builds new churches, the number of homicides is likely to increase.

Find the median for the given sample data. -The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6

Solve the problem. -A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a Standard deviation of 60 seconds. Between what times do we expect most (approximately 95%) of the boys to Run the mile?

Identify whether the average described is a mean, median, or mode. -The physics teacher grades on a curve. She gives A's to students whose scores are in the top 10%, B's to those whose scores fall in the next 20%, Fs to those with scores in the bottom 10%, Ds to the next 20%, and those with Average scores get a C.

Find the mean for the given sample data. -The Cane brothers spent these amounts on groceries over the last eight weeks: $77.15 $84.61 $67.48 $75.38 $63.56 $85.98 $87.97 $86.93 What was the mean amount spent? Round your answer to the nearest cent.

Find the probability. -The maker of a certain candy claims that the proportions of colors of candy produced are: 0.2 red, 0.1 blue, 0.2 green, 0.1 purple and 0.4 yellow. Suppose a candy is selected randomly from each of two newly-opened bags. What is the probability that both will be red?

Solve the problem. -You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $42, otherwise you lose $30. What is your expected value for the game?

Identify the following as an experiment or an observational study. -The card game bridge is played by four players. Each person plays with a person who sits opposite of them. In duplicate bridge there are many tables of four players at which hands are being played simultaneously. Each east-west pair moves around the different tables so that they play a few hands against each north-south pair. One evening there are 40 players. The director would like to select a random sample of 10 players from those playing that evening. .He interrupts play at 8 pm and announces that all those currently seated in the east position have been chosen to win free entry to an upcoming tournament

Identify whether the number described is a parameter or a statistic. -Approximately 8% of men are color blind.

Identify the following as an experiment or an observational study. -A researcher reports that a high correlation has been found between SAT scores and the number of games of golf played in the year prior to the SAT. Jeff decides to play a lot of golf before taking the SAT in order to improve his chances of getting a high score.