Math Answers

Let fn(x)= n/(x+2n) is uniformly convergent in [0,k] , k>0

a nominal interest rate of 19,40% per year, compounded monthly, is equivalent to a continuous compounding rate of

The average length of time for students to enroll has been 50 minutes. If a random sample of 12 students incurred an average enrolment time of 42 minutes with a standard deviation of 11.9 minutes under a new enrolment system, test the hypothesis that the population mean is now less than 50 using a 0.05 level of significance. Assume that the length of time of the population is normal.

Check whether the function f given by

f(x)=1/(2x-4)^2 ∀x∈]-2,2[

Is continuous in the interaval ]-2,2] but not bounded in the interval (-2,2)

Use Weierstrass’ M-Test to prove that the series

Infinity

∑ n^2x^n

n=1

converges uniformly in the interval [0,1/5]

The shelf life of particular dairy products is normally distributed with u of 12 days and o of 3 days .

a. About what percent of the products last between 9 and 15 days?

b. About what percent of the products last 6 days or less

c. If a delivery of dairy products weigh 320 kg. , how many kilograms is expected to last beyond 10 days

What percent of the area under the normal curve is between z=2.25 and

z=0.58

Consider a population consisting of 2,6,8,0 and 1. Suppose a sample size of 3 are drawn from this population. Find the Mean and Variance of the sampling distribution of sample means.

Consider a population consisting of 2,6,8,0 and 1. Suppose samples of size 2 are drawn from this population. Find the Mean and Variance of the sampling distribution of sample means.

Find the variance and standard deviation of the probability distribution of the random variable X, which can take only the values 3,5, and 7, given that P (3) = (7)/(30),P(5) = (1)/(3),P(7) = (13)/(30)