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Suppose X has a continuous uniform distribution over the interval [-1, 1].
(a) Determine the mean, variance, and standard deviation of X.
(b) Determine the value for x such that P(-x < x="">< x)="">
1.a large study was done to compare two treatments for recurring ear infections in young children. a total of 150
In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station
Graph the p.d.f and show that the probability of the part failing in the first 200 weeks is 1/8
The weights of adult male beagles are normally distributed with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle's weight is less than 23 pounds.
Duracell Ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 102.9 hours and a standard deviation of 16.5 hours.
A population of scores forms a normal distribution with a mean of μ = 40 and a standard deviation of σ =12.
Construct a 95 percent confidence interval for the population proportion of positive drug tests. May you assume that this is a normal distribution? Explain why.
For the past 20 years, the high temperature on April 15th has averaged (j = 62 degrees with a standard deviation of a = 8. Last year, the high temperature was 66 degrees.
Determine the strength of the causal relationship between monthly sales and new home construction by using correlation.
It has been determined that the mean life is 1000 hours and the standard deviation is 50 hours. It can be concluded that at least 89% of the bulbs will last between?
The shirt was a mesh polo shirt. Given this information, what is ths probability that the mesh polo shirt came from box 1?
If the probability of a newborn child being female is 0.5, find the probability that in 100 births, 55 or more will be female. Use the normal distribution to approximate the binomial distribution.
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