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A 30-item math test was graded using following procedure: a correct response was scored as +1, a blank response was scored 0, and incorrect response was scored -1. The maximum possible test score wa
A box haves five slips of paper numbered from 1 to 5. An experiment includes randomly choosing a slip of paper and rolling an ordinary die with numbers from 1 to 6. Find out the probabilities.
A box haves 7 red marbles and 3 blue marbles. An experiment includes randomly choosing 2 marbles. Find out the probability of obtaining 2 red marbles if:
A disc-shaped spinner has five sections with following colors and central angles: Blue, 60 degrees, red, 120 degrees, green, 45 degrees, red, 45 degrees and yellow, 90 degrees. Find out the followin
The digits o through 9 are written upon slips of paper. An experiment includes randomly choosing one numbered slip of paper. Find out the probability of each event in a, b, and c
When circuit boards employed in the manufacture of MP3 players are tested, long-run percentage of defectives is 5%. Let X be the number of defectives in a random sample of size n=25, so X~Bin(25,.05
An individual who has automobile insurance policy from the certain company is randomly chosen. Let Y be the number of moving violations for which the individual was cited throughout the last year. T
Assume the probability that a randomly chosen PGA Tour player uses a Titleist brand golf ball is 0.65. For the sample of 9 PGA Tour players, determine the probability that no less than 8 use a Title
A Chi-Square experiment has been planned; there're three options with eight possible outcomes for each. How is the degree of freedom calculated and why?
Determine the probability the site will receive more than five hits in the next 10 minutes. Determine the standard deviation in the number of hits the site will receive in a six hour period.
Assume we roll pair of fair 6-sided dice. Let X denote maximum (the largest) of the outcomes on the two dice. Develop the probability distribution of X and calculate its expected value.
You wish to play the lottery (a bad idea!). Suppose that each lottery ticket has probability p of winning. Further, suppose that each ticket wins independently of all other tickets. You decide to p
An article in the ACI Materials Journal states several experiments investigating rodding of concrete to remove entrapped air. A 3" ? 6" cylinder was used, and the number of times this rod was used i
Assume X= U+V, U is a exponential density with mean= 2 and V is poisson with mean 3. U and V are independent. Determine moment generating function, M (t).
A selective college reports that their admission rate is 0.16. For early applicants, the probability of being accepted is 0.275. For regular applicants, the probability of being accepted is 0.10. As
Consider testing the hypotheses H0: X~U(0,1) against H1: X~U(0,2) based upon the single observation X. (a) Explain the collection of all tests of size alpha=0.
A pair of fair dice is cast. Let E denote event that the number falling uppermost in the first die is 1 and let F denote the event that the sum of the numbers falling uppermost is 5.Compute p (F) .
Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"),
In general, what does it mean for the sample to have standard deviation of zero? Explain the scores in such a sample.
You and three friends play a game where you each roll one of the dice and the highest number wins. You get first pick from the dice.
The photoresist thickness in semiconductor manufacturing has mean of 10 micrometers and standard deviation of 1 micrometer. Suppose that the thickness is normally distributed and that thicknesses of
Determine the value of c for which there is a 99% probability that a glass sheet has a thickness within the interval [ 3.25 -c, 3.25 +c]?
Design an experiment to help you find out if this practice is healthy or not, and discuss, in terms of the important principles of experimental design, why you chose the design you did.
The heights of trees in large grove are normally distributed with mean of 85 feet and a standard deviation of 10 feet. Explain your answers and provide a drawing of the robability (area under the cu
An experiment to determine the inheritance of flower color in snapdragons crossed two plants with pink flowers. The following progeny were recovered from the cross: 80 plants had red flowers, 152 ha