Probability of a roulette ball landing on black
The probability of a roulette ball landing on black is approximately 47.4%. Find the probability that the ball lands on black at least 8 times in 15 spins.
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For more accurate calculations, the insurance company wants to estimate the life expectancy to within 1 year (margin of error) with 95% confidence. How many randomly selected records would they need to examine?
Let X1, X2, X3, and X4 be four mutually stochastically independent random variables with the same pdf f(x) = 2x, 0<x<1, zero elsewhere.. Find the mean and variance of the sum Y of these four random variables.
A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution.
A correlation is computed for a sample of n = 18 pairs of X and Y values. What correlations are statistically significant with ? = .05, two tails. 1. correlations greater than or equal to 0.456 and correlation less than or equal to -0.456 2.
According to the empirical rule, if the data form a "bell-shaped" normal distribution, what percent of the observations will be contained within 3 standard deviations around the arithmetic mean.
Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15. Forecast sales for the next day (Day 11) using a three-day weighted moving average where the weights are 3, 1, and 1 (the highest weight
Heights of men on a baseball team have a bell shaped distribution with a mean of 184 cm and a standard deviation of 5 cm . Using the empirical rule, what is the approximate percentage of men between the following values? a. 179 cm and 189 cm. b: 1
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