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Q1. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.27 inches. A sample of 9 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 30.23 and 30.32 inches long?
Q2. Packages of sugar bags for Sweeter Sugar Inc. have an average weight of 16 ounces and a standard deviation of 0.18 ounces. The weights of the sugar bags are normally distributed. What is the probability that 36 randomly selected packages will have average weight less than 15.955 ounces?
If a survey of 100 randomly selected united states residents is to be taken, what is the approximate probability that at least 60 will be under 31 years of age?
The outcomes of the successive trials are assumed to be independent. Find the frequency function for the total number of attempts. What is the probability that player A wins?
Use the population standard deviation along with the sample mean, S, and find a 92% confidence interval for the population mean. Is the true population mean contained in this interval?
Determine probability of generating six digits and getting code consisting of 1, 2, 3, ..., 6 if each digit can be repeated?
Draw a bell curve for each one of the following normal probability distributions: the standard, the sat and Binet Intelligence scale. Draw a separate bell curve for each one.
The bank wishes to inform prospective customers that '99 times out 100 we can process your application in q working days'. Assuming that the normal distribution is still an adequate model, calculate q.
(a) Give a 95% confidence interval for the proportion p of children with asthma, in the general population of children who were exposed to parac-etamol in early life and have a family history of allergic disease.
If a random sample of 40 voters is chosen, approx. the probability that more than 20 favor this candidate. Use the normal approximation to the binomial with a correction for continuity.
Based on a simple random sample of one hundred an analyst estimates the average hourly wage earned by workers in a city to be $30 and computes the margin of error to be $5.
What does the law of large numbers tell us about what will happen if a gambler makes very many bets on red? If the gambler keeps on playing forever he must win.
Find the probability that the family's monthly gasoline purchases will be between 80 and 90 gallons. Find the probability that the family's monthly gasoline purchases will be less than 75 gallons.
If average size in square feet of homes built is 1810, determine maximum and minimum sizes of homes contractor must build. Suppose that standard deviations are 92 square feet.
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