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Toss a fair coin till you get HHH or TTT, but not more than 8 tosses. Let X be the number of tosses and Y be difference of heads and tails. Determine the joint distribution of X and Y. Also compute
A quality engineer wanted to be 98% confident that maximum error of the estimated of the mean strength of a hinge is 0.25. Suppose the strength of the hinge is normally distributed with s.d. = 1.723
In doing market research for the candy company, John find out that 1054 of 1220 randomly chosen person like dark chocolate. Based this result, determine a 90% lower bound estimate of the percentage
In a regression analysis involving 27 observations, the following estimated regression equation was developed.
Take a random sample of the 106 healthy adults and find out the average body temperature of 106 healthy adults is 98.2F. Assume the population s.d. of body temperature is 0.62. Determine 95% Confid
Ten weeks of data on Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and 7.55. Compute the exponential smoothing forecasts for a = .2.
The melting points of two alloys employed in formulating solder were investigated through melting 21 samples of each material. The sample mean as well as standard deviation for alloy 1 was X1= 420.4
Do the sample data support the claim that both alloys have same melting point? Employ a fixed-level test at alpha = .05 and suppose that both populations are normally distributed and have the same
Assume n sticks, each of length 10 units, are broken in two pieces at the random. If xi is the longer piece and yi the shorter from ith stick. i=1,2,.....,n. what is the correlation coefficient amon
A gambler plays n hands of the poker. If he wins the kth hand, he gathers k dollars; if he loses the kth hand, he gathers nothing. Let T denote his total winnings in n hands. Supposing that his chan
Assume the time it takes data collection operator to fill out electronic form for the database is uniformly between 1.5 and 2.2 minutes. Determine the mean and variance of the time it takes an opera
If the null hypothesis is accepted if and only if observed value of the random variable is less than 3, find the probabilities of type I and type II errors.
If 130 of 200 male voters and 88 of 150 female voters favor the certain candidate running for president, determine a 99% confidence interval for difference between the actual proportions of male and
Sales for boxes of Girl Scout cookies over 4-month period were forecasted as follows: 100, 120, 115, and 123. The actual results over 4-month period were as follows: 110, 114, 119, 115. What was the
Provide a 90% confidence interval for the mean number of months students at this university date before becoming engaged.
Demand for soccer balls at the new sporting goods store is forecasted using following regression equation: Y = 98 + 2.2X where X is the number of months that store has been in existence.
In the following situation identify the implied population.
Determine the area under the standard normal curve for following:
Among students 70% own a car, 50% own a bike and 40% own both. Determine a probability that a randomly chosen student own a least one of the above vehicles.
Which of the following isn't the binomial distribution and why? Justify your answer. Tossing a fair quarter 10 times and looking at number of heads that shows up.
Determine the probability of type II error if the true mean foam height is 200 mm and we suppose that a=0.05? What is the power of test from part b?
In second grade class containing 12 girls, and 9 boys, 2 students are chosen at random to give out math papers. Determine the probability that both are girls.
Let X as well as U denote random variables, and suppose that E[U|X] = 1 and that E[X] = 2.
A current poll found that 30% of those surveyed are worried regarding aggressive drivers upon the road. If three people are chosen at random, determine the probability that all three will be worried
A study that evaluated the effects of reduction in exposure to the traffic-related air pollutants compared respiratory symptoms of 283 residents of area with congested streets with 165 residents in