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Assume a device contains three ceramic insulators and all should survive the shock in order of device to work. Determine the maximum likelihood estimate of the probability that all three will surviv
Assume that we observe the random variable having the binomial distribution. Let X be the number of successes in n trials.
Assume that the mean on this test is 75.6 with the standard deviation of 7.8. Assume also that the scores follow a bell=shaped distribution.
A random sample of 19 rainbow trout caught at Brainard Lake, Colorado had mean length sample mean= 11.9 inches with standard deviation s=2.8 inches. Determine a 99% confidence interval for the popul
Suppose that the z scores are normally distributed with a mean of 0 and a standard deviation of 1.
The melting points of two alloys employed in formulating solder were investigated by melting 21 samples of each material. The sample mean and standard deviation for alloy 1 was X1= 420.48 and S1= 2.
Let U be the geometric random variable with p=.3, V be a geometric random variable with p=.2, X be a geometric random variable with p=.5, Y be a geometric random variable with p=.4. Let U, V, X, Y b
Let x, y, z be i.i.d. uniform random variables over the interval [0,20]. Let U=min(X,Y,Z) V=max(X,Y,Z). Find E(U), E(V), Var(U), Var(V), Cov(U,V) and correlation coefficient of U and V.
Assume the wieght of mints are normally distributed. Throughout the Friday night shift, 28 mints were chosen at random from production line. They had average weight of 21.45 grams and sample varian
Calculate the exponential smoothing forecasts for a = .3. Which exponential smoothing constant offers more accurate forecasts based upon MSE? Forecast week 11.
Do the sample data support claim that both alloys have same variance of melting point ? employ alpha = 0.05 in reaching your conclusion
Suppose the sample is representative of overall population. For a person chosen at radom, calculate the following probabilities:
In the following condition what is the statistic and the parameter it would estimate.
Determine a 90% confidence interval for average weight of all packages of ground beef in the meat case of Best Market.
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
To assess the accuracy of laboratory scale, we weigh standard weight (known to weigh 10 grams) repeatedly and calculate the mean. The scale readings are normally distributed with unknown mean (which
Provide a 90% confidence interval for the mean number of months students at this university date before becoming engaged.
If the incomes are normally distributed as well as two university-educated employees are randomly chosen, determine the probability that one of the them earns more than $66,000 for each year and th
Daily demand for newspapers for last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for next day using two-day weighted movin
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. Let April b
Assign probabilities to sample points and show their values? Determine the probability that agency will not sell any houses in a given day? Determine the probability of selling at least 2 houses in a
In the following condition determine the kind of statistical study that was conducted. A Gallop poll surveyed 1,018 adults by telephone, and 22% of them reported that they smoked cigarettes within the
In the following condition determine the implied population. A recent report on the weekly news presented the findings of a study on the effectiveness of Onglyza, along with diet and exercise, for t
For such group of 12 companies, Determine the mean and standard deviation for number (among 12) that test for substance abuse. Using the results from part (c) and range rule of thumb, Determine the ra