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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
If X is a random variable having a binomial distribution with n=20 and p=0.4, and Y is a transformed version of X, where Y=2X+3, what is the expected value of Y?
The registrar of a large university knows that 30% of the students come to college with credit for an advance placement (AP) course. The registrar is going to conduct interviews with students regard
Among sofas having a defect in the fabric, what is the probability of having a defect in the frame? Knowing that a sofa does not have a defect in the frame, what is the probability it will not have a
We choose an integer from 1 to 200 (including 1 and 200) at random. (Recall an integer is just a whole number such as 1, 2, 3, 4, ....) What is the probability that the number is divisible by 10?
In a study, the use of gloves among nurses was observed. Two populations of nurses were studied, those who were in the field 5 years or less, and those who were nurses for more than 10 years. Of th
Your score on a statistics tests is 63 and on your biology test you made a 23. The mean in statistics was 60 with a standard deviation of 7, and the mean in biology was 23 with a standard deviation
Consider the following data set and fill in the blanks in the statements below
Give your answer to 3 decimal places as a number between 0 and 1. Be sure to follow the instructions for inputting a numeric response
what type of variable is the mode best for describing
A random sample of 15 college freshman were enrolled in a six week pilot program to improve writing skills. At the begining of the program they were pre tested to measure their writing skills before