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1) Suppose X~Ber(p) and Y~Ber (q), with 0<p<1, 0<q<1, and let X, Y be independent. Determine the PMF for X+Y.
2) Suppose we have a weightd coin, which comes up heads with probability p. We toss the coin until we obtain a total of n heads (for some integer n>0). What is the expected number of tosses until the nth head?
3) Suppose that 7 people are selected for jury duty. None of the jurors know each other currently, but in the time before the trial each pair of jurors independently has a 0.2 probability of meeting. Let X be the number of jurors who have met at least one fellow juror before the trial. What is E(X)?
We have a box of 12 light bulbs. The probability that a particular light bulbs lights on opening is 0.95. This meets the binomial assumptions. Find the probability that 9 light bulbs light up.
Is there a significant difference between the lengths of front and rear legs of a certain breed of horses. The results of the measurements in inches made in 10 of these animals are:
Use the given contingency table to (a) find the expected frequencies of each cell in the table, (b) perform a chi-square test for independence, and (c) comment on the relationship between the two variables.
you have purchased five shares of stock in diversified machine tools which has a mean value of 25 and a standard
A random sample of 51 observations was selected from a normally distributed population. The sample mean was = 88.6, and the sample variance was s2 = 38.2.
a standard 6-faced die is rolled twice in an experiment. let a and b be the outcome of the 1st and 2nd rolls
If the contents in the population of all cans follow a normal distribution, what is the probability that the mean contents of a six-pack are less than 12 oz?
every normal model is defined by its parameters the mean and the standard deviation.suppose that the mean ? 20 and that
the number of telephone calls coming into a businesss switchboard averages 4 calls per minute.let x be the number of
a company has 1250 employees and you want to take a simple random sample of n 60 employees. explain how you would go
If garage is robbed, determine the probability doors were left open?
reducing fat and saturated fat in your familys diet is important to maintaining heart health and reducing calories.
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