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An urn contains three red balls and four black ones. The two balls are drawn at random (without replacement). The random variable X is the number of red balls among the balls drawn during our experiment.
a) What are the possible values of X?
b) For each possible value of X, determine its probability.
c) Present the distribution law (the probability mass function) of the random variable X as a table.
d) Depict the probability mass function of X as a bar graph.
e) Calculate the mathematical expectation of X.
f) Calculate the variance of X and the standard deviation of X.
g) Calculate the cumulative distribution function of X.
Calculate the confidence intervals about a regression line. My data is log transformed and has high R-square value for what is called "power" equation in Excel. My CI's are narrow at the top of the graph and very wide near the bottom.
Your objective is to maximize the expected utility of your final fortune (after 4 bets). If you are a log-utility investor, determine the optimal policy and find the maximal expected utility.
A random sample of 16 pharmacy customers showed the waiting times below (in minutes). Find a 90 percent confidence interval for μ, assuming that the sample is from a normal population.
Use this information to determine the empirical probability that the next bird to visit the feeding station will be a dove.
The mean SAT score in mathematics is 498. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean.
To get the best deal for CD player, Jessica called eight appliance stores and asked the cast of a specific model. The prices she quoted are listed below. Show all work. Compute the standard deviation.
The outcomes of the successive trials are assumed to be independent. Find the frequency function for the total number of attempts. What is the probability that player A wins?
a quality engineer knows from past data that in a shipment lot the number of wire cables that have tensile strengths
If you select a random sample of 100 voters, what is the probability that a candidate will be forecast as the winner when. The true percentage of her vote is 50.1%?
Under what conditions should you use the McNemar test? Under what conditions should you use the Kruskal-Wallis rank test?
Determine whether there are differences in the means of the number of cereal leaf beetles, in terms of colour preference, based on the numbers trapped on the different coloured boards.
consider the population 1 2 5 6 10 12.a find the sampling distribution of the medians for samples of size 3 without
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