Independent and normal with mean
If X1 and X2 are independent and normal with mean 500 and variance 121, what are the mean and variance of
(a) 2X1
(b) X1 + X2
(c) 9X1
(d) 4X1 - 12
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Express the repeating decimal 1.62 as a quotient of integers. If possible, reduce to lowest terms.
Find out a 99% confidence interval for the mean of µ of a normal population with standard deviation 30 using the sample: { 16.1, 19.2, 16.8, 16.2, 22.4, and 11.3}
Determine a 97% confidence interval for the mean µ of a normal population with unknown variance using the sample: { 300, 200, 400, 500, and 150}.
Determine a 90% confidence interval for the variance (lower case sigma)^2 of a normal population using the sample: {45, 40, 43, 39, 36, 39, and 29}
Let H be a subgroup of group G. Let R = {Hg:g in G} be the collection of all right cosets of H in G and L = {gH: g in G} be the collection of all left cosets of H in G. Define phi: R --> L by phi(Hg) = g^-1H.
In the Melanie's Styling Salon, the time to complete simple haircut is normally distributed with mean of 25 minutes and a standard deviation of 4 minutes. What percent of customers require less than 32 minutes for a simple haircut?
If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks?
For this problem, suggest the following two functions. Let M be the function which gives a person's month of birth (e.g., M(Grossman) = April). Let L be the function whose domain is set of months, and whose rule is L(x) = the number of days in x i
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