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1. Suppose a fair coin is tossed n times. Find the probability that exactly half of the tosses result in heads when n D 10; 30; 50. Where does the probability seem to converge as n becomes large?
2. Suppose one coin with probability .4 for heads, one with probability .6 for heads, and one that is a fair coin are each tossed once. Find the pmf of the total number of heads obtained. Is it a binomial distribution?
3. Suppose the IRS audits 5% of those having an annual income exceed- ing 200,000 dollars. What is the probability that at least one in a group of 15 such individuals will be audited? What is the expected number that will be audited? What is the most likely number of people who will be audited?
4. Suppose that each day the price of a stock moves up 12.5 cents with probability 1/3 and moves down 12.5 cents with probability 2/3. If the movements of the stock from one day to another are independent, what is the probability that after ten days the stock has its original price?
on friday wall street traders were anxiously awaiting the federal governments release of numbers on the january
Determine the probability that a randomly selected exam will have a score of at least 71? What percentage of exams will have scores between 89 and 92?
Comparison of paired and unpaired samples test - Prepare a brief conclusion statement summarizing your results. What can you tell this MHMR about client satisfaction? What could you suggest they do to improve?
question when do americans decide what to make for dinner? an outline survey indicated that 74 of americans decided
What is the half-width (from the middle of the confidence interval to either of the confidence limits) of the 99% confidence interval for the population mean time spent on investment research by portfolio managers?
Construct an 80% confidence level using a t-distribution for the mean age. Round your answer to two decimal places.
a pollster conducts a survey to determine the proportion of voters who favor his candidate. out of 1447 people surveyed
a batch of 25 injection-molded parts contains five that have suffered excessive shrinkage. if two parts are selected at
compute the standard error of the estimate for the data below.x values 56 68 78 85 98y values 87 110 138 161
Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.
Is there a method which is accepted across industries for determining the minimum size of valid sample? N>50 +(8m aka 8 times the number of independent variables)
the length of time between breakdowns of an essential piece of equipment is important in the decision of the use of
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