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Suppose you purchase a lottery ticket. What is the probability that your 3-digit number will be the winning number? Which of the probability approaches (subjective, classical, or relative frequency)
What is the incidence rate of waterborne diseases in Africa? A patient suffering from a waterborne disease is randomly chosen from a clinic in an African village. What is the probability that this pa
What is the probability that a randomly chosen man will develop prostate cancer? What is the probability that a randomly chosen man has a PSA level greater than 10, given that he has prostate cancer?
The nuchal translucency test is a special ultrasound scan which is widely used as a screeding test for Down's syndrome in early pregnancy. The test measures the uid under the skin at the back of the
What is the expected value of the sample mean weight? Give an exact answer. What is the standard deviation of the sample mean weight? Give your answer to four decimal places.
Comparison of the degree of linear correlation are considered most accurate in terms of:
You are interested in the relation between the number of years working for a particular company and loneliness at work. You survery 40 workers at this company and figure a correlation between these
Marist reported that the margin of error for one of these results was 9 percentage points and for the other it was 2:5 percentage points. Which result had the margin of error of 9 percentage points?
Two variables X and Y, have a strong linear correlation. Under what condition can you determine the direction of causality just from knowing the correlation coefficient?
A box of tulip bulbs contains six bulbs that produce yellow flowers and five bulbs that produce red flowers. Four bulbs are to be selected randomly WITHOUT replacement. Find the probabiltiy that: E
When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls. X is the number that reach a live p
Consider 16 gallons of genetically modied tomatoes. Suppose that 75 % of those tomatoes have an increased resistance to pests, 50 % were engineered to have a longer shelf life, and 30 % have an inc
After practicing, the coach still has to decide on the two alternate captains for the Bronco hockey team. With 27 players to choose from, how many possible arrangements are there?
The following data points are expected to follow a functional variation of y = ax2 + bx + c. Obtain the values of a, b, and c by the method of least squares (Quadratic Regression).
Expecting a blitz and with five receivers to chose from, the quarterback only has time to look at three before throwing the ball. With this being said, what is the total number of ordered arrangemen
An ecologist is studying the effects of predation on the behaviour of the common rabbit. During one hours of observation, she spots a golden eagle with proba- bility 0:2, a common rabbit with probab
There is a softball game at the company picnic. It is uncle bobs turn at bat. His probability of hitting a single is 0.35, of hitting a double is 0.25, of hitting a triple is 0.10, and not making it
If the money runs out before you get a six, you've lost and the game is over. Let X be the amount of your reward. Find the range and the probability mass function of X. Check that the p.m.f. you giv
Let a dart fall uniformly at random on a circular dart board of radius 9 inches. Let X denote the distance of the dart from the center of the board. Derive a formula for the function F (t) = P (X? t
A train is made up of 50 railroad cars. Each car made need service with probability 0.05. Let X be the total number of cars in the train that need service. Find the mean and standard deviation of X
Why would a company maintain separate accounts receivable ledgers for each customer, as opposed to maintaining a single accounts receivable ledger for all customers
Verify that the function f(x) = (3/4)(1/4)^x, x = 0, 1, 2,... is a probability mass function. Determine the requested probabilities:
Joe and Bill do not get along. What is the probability they will not be selected to serve on the committee together? Jennifer and Joe also do not get along. What is the probability they will not be se