Math Answers

The average weight of 25 chocolates bars selected from a normally distributed population is 200 g with a standard deviation of 10 g. Fight the point and the interval estimates using 95% confidence level

Three sets have 5, 10, and 15 elements, respectively. How many elements can their union and their intersection have?

We form the intersection of two sets. We know that one of them has n elements and the other has m elements. What can we infer about the cardinality of their intersection?

If a freshman is selected at random to become student assistant what is the probability of selecting a student with an IQ between 90 and 120

maximum or minimum of f(x, y) = x³+ y³– 63(x + y) + 12xy

David borrowed R911012 to refurbish his holiday home.the loans require monthly repayments over 12 years. When he borrowed the money the interest rate was 12,4% per annum compounded monthly , but five years later the bank increased the annual interest rate to 13.9% in line with market rates. After 5 years the present value of the loan is R682 081,77 with new interest rate his monthly payments will increase by?

Suppose that a population of women heights is normally distributed with mean of 68

inches and standard deviation of 3 inches. If a person is selected at random, what is the

probability that her height is less than 66 inches?

Suppose it is known that 10% of the owners of two year old automobiles have had problems with their electrical system. Compute the probability of finding exactly 2 owners that have had electrical system problems out of a group of 10 owners?

The joint density function of the random variables X1, X2, X3 is given as

f(x1, x2, x3) = {

c(x1 + 2x2 + 3x3), 0 < xi < 1, i = 1, 2, 3

0, elsewhere

Determine

(i) the value of c

(ii) the joint marginal density function of X1 and X2.

Question 4

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