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Find the probability and mean and standard deviation for given data under Binomial distribution.
The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found, and the case is never solved (Source: True Odds, by James Walsh, Merit Publishing). Suppose that a neighborhood district in a large city has repeated property crimes, not always by the same criminals. The police are investigating six property crime cases in this district.
a) What is the probability that none of the crimes will ever be solved?
b) What is the probability that at least one crime will be solved?
c) What is the expected number of crimes that will be solved? What is the standard deviation?
Find a 99% confidence interval for the population mean number of weekly miles.
how many chocolate chip cookies will he need to sample to estimate the mean to within 2, what is a 99% confidence interval for the average number of chips per cookie?
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
Find the test statistic value for testing the equality of population means of the two samples.
Use the method of least squares to model the relationship between x and y.
A random sample of 15 paired observations has a correlation of -.46. Can we conclude that the correlation in the population is less than zero? Use the .05 significance level.
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
It is suspected that the mean turnover has changed and is not 6.0. Use the .05 significance level. State the decision rule.
A game involving a pair of dice pays out $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36.
What is the expected number of Republicans who will win office in the coming election?
Let X 1 , X 2 , X 3 , X 4 be a random sample from a Poisson distribution with parameter λ and let Y = X 1 + X 2 + X 3 + X 4 . You decide to test λ = 1.60 versus λ
Construct a 90% confidence interval for the proportion of all kernels that would not pop.
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