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Find the probability that a value randomly selected from this population will have a value greater than 130.
Let M be the minimum value of the Xj. Show that the density for M is exponential with mean µ/n. Hint: Use cumulative distribution functions.
A player wins 1 dollar if the number on the card is odd and loses 1 dollar if the number if even. What is the expected value of his winnings?
What decision should be made according to the maximax decision rule? What decision should be made according to the maximin decision rule?
Harvey has estimated caseload probabilities for the upcoming year to be 0.40 for "moderate", 0.40 for "high" and 0.20 for "very high".
Assume that the lock can also have combinations that require you to push two buttons simultaneously and then the other three one at a time. How many more combinations does this permit?
Using paper and pencil only, neatly create the Payoff Table and determine Harvey's optimal decision using the following decision criteria:
A deck of ordinary cards is shu?ed and 13 cards are dealt. What is the probability that the last card dealt is an ace?
What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events.
A pkiggy bank contains 4 quarters, 3 dimes, 8 nickles and 9 pennies. What is the probability of randomly selecting a nickel?
A student takes a 16 question, multiple test with five choices for each question and guesses on each question. Find the probability of guessing at least 11 out of 16 correctly.
Create a histogram which shows the data in the range between -4 and 10. with class intervals of length 0.5 Make sure that your name and current date are also included in the histogram title on this
Given the monthly incomes for 16 randomly selected people with a bachelor's degree in business: Find the sample standard deviation.
Assume time to breakdown of a randomly chosen generator, Y, follows an exponential distribution with a mean of 15 days. (a) What is the probability a generator will break down in the next 21 day
If a player rolls two dice and get a sum of 3 and 11, she wins 30. if the person gets 7 she wins 15. the cost to play the game is 3. Find the expectation of the game.
One of four different prizes was randomly put into each box of a cereal. If a family decided to buy this cereal until it obtained at least one of each of the four different prizes, what is the expec
In a small pond there are 50 fish, 10 of which have been tagged. If a fisherman's catch consists of 7 fish, selected at random and without replacement, what is the probability exactly two tagged fis
The mean number of bacteria colonies of a certain type in samples of polluted water is 2 per cubic centimeter (cm3).
Assume normal distribution and a 5% level of significance do a hypothesis test and calculate if the standard deviation is different between the years.
If infants really do not show any preference for either type of toy, what is the probability 14 or more of the infants would have chosen the helper toy? What does this suggest about infants making t
Six applications for admission to a local university are checked, and it is determined whether each applicant is male or female. How many sample points exist in the above experiment?
A traditional (not Agresti-Coull's) two-sided confidence interval for the proportion of people. The resulting interval is (0.35 0.45). How many people in the sample supported Mr. Green?
What is the estimated standard error for a sample of n = 4 scores with a variance of s2 = 36? the square root of (36/3).
On a period of three hours, find the probability that more than 6 messages will be sent. please use poisson distribution.
Given a level of confidence of 95% and a population standard deviation of 9, answer the following What other information is necessary to find the sample size (n).