Assume that the weight loss for the first month of a diet program varies between 6 and 12 lbs, and is spread evenly over the range of possibilities so that there is a uniform distribution. Find the probability of the given range of pounds lost: Between 9.5 and 11 A: ¼ In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P , or the consumption level ₄₅ separating the bottom 45% from the top 55%. A: 1021.7 =NORMINV(.45, 1050, 218) The weights of certain machine components are normally distributed with a meant of 8.05g and a standard deviation of 0.09g. Find the 2 weights that separate the top 3% and the bottom 3%. A: 7.88 and 8.22 same process as last problem Assume that a procedure yields a binomial distribution with a trial repeated n times. Find the probability of x. Given n=5, x=2, p=.70 A: .132 =BINOMDIST(2, 5, .70, 0)-mean, proportion, and variance are
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