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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)?
Ordinary regression line where the spread is assumed to be constant in all parts of the line. In practice, plot yi vs. xi from the sample and see what type of relation exists. When can a ratio estimator be used?
Sampling distribution for the sample mean for a sample of size 160. This looks even more like a normal curve. This looks almost exactly like a normal curve. What have we seen from the above example?
suppose that 28 of the population has high blood pressure. in a random sample of 200 people what is the exact
suppose you are an events coordinator for a club with 77 members. the club decides to do a raffle as a fundraiser to
a. Is there evidence the mean amount is different from 1.0 gallon (alpha= 0.01)? b. Compute the p-value and interpret its meaning. c. construct a 99% confidence interval estimate of the population mean amount of paint.
the gre combined scores for students applying to an engineering schools graduate program are normally distributed with
wall street securities firms paid out record year-end bonuses of 125500 per employee for 2005 fortune february 6 2006.
the central limit theorem says that when a simple sample of size n is drawn from any population with mean ? and
If a distribution of test scores is normal with a mean of 78 and a standard deviation of 11, what percent of the area lies below 60?
question response time at an online site can be modeled with an exponential distribution with a mean service of 5
The length of time to do a complete full service oil change at Speedy-Lube is normally distributed with a mean of 15.8 minutes and a standard deviation of 2.2 minutes
Is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?
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