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How many different five-character passwords can be formed from the lowercase letters of the alphabet if repetition is not allowed?
What are the odds of all 5 lug nuts falling off the same pick-up truck wheel at the same time?
This same expert estimates that if the colts play the ravens, the mean and standard deviation of the point spread will be 6.5 and 10.5, whereas if the colts play the patriots, the mean and standard
When booking customers for hotel rooms, Holiday Inn knows the probability of a customer not showing up is 0.05. Because, they institute a policy to sell 44 rooms in a hotel that contains only 40. W
An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that
Packages of food whose average weight is 16 ounces with a standard deviation of .6 ounces are shipped in boxes of 24 packages. If the package weights are approximately normally distributed, what is
Derive the expression in σ2(b0)=σ2(1/n+x-bar2/Σ(Xi-X-bar)2) for the variance of b0, making use of σ(Y-bar,b1)=0. Also explain how variance σ2(b0)=σ2(1/n+x-bar2/&Sig
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of getting four of a kind.
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of getting two pairs.
A psychologist develops a new inventory to measure depression. The population of "normal" individuals has mean score on this test of µ = 55 with σ = 12.
What is the approximate sampling distribution for the sample proportion ρ^? What are the mean and standard deviation for this distribution? What is the probability that the sample percentage is
If a healthy person is selected at random, what is the probability that the person has a temperature above 99.0 degrees? What is the 95th percentile for the body temperatures of healthy humans?
A machine operation produces bearings whose diameters are normally distributed, with mean and standard deviation equal to .498 and .002 respectively. If specifications require that the bearing diame
The odds that an event will occur are given by the ratio of the probability that the event will occur to the probability that it will not occur, provided neither probability is zero. Odds are usuall
A grain loader can be set to discharge grain in amounts that are normally distributed, with mean μ bushels and standard deviation equal to 25.7 bushels. If a compoany wishes to use the loader to
The diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard deviation of 1.5 inches. What proportion of the trees will have diameters
Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 12. Give the mean and standard deviat
A federal bank examiner is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years.
What are examples of variables that follow a binomial probability distribution
Histogram to describe the distribution of the net amounts between $0 and $200. (HINT: to decided whether a customer gets a loyalty discount, explore the Excel IF function with the first argument's b
A random sample of size 30 from a normal population yields ?x(xbar) = 32.8 with a population standard deviation of 4.51. Construct a 95 percent confidence interval for µ
Use the concepts of sampling error and z-scores to explain the concept of distribution of sample means.
The table below gives the carapace lengths of ten mature Thenus orientalis lobsters caught in the sea in the vicinity of Singapore. Suppose you wish to describe the variability of the carapace lengt
Calculate statistics that allow you to choose the most consistent applicant. Scores are in seconds.
36% of women consider themselves fans of professional baseball. you randomly select 6 women and ask each if she considers herself a fan of baseball. a) construct a binomial distribution using n=6 an