Math Answers

Find the Laplace transforms of the following function:

7. L{t^2 -3cos4t}

Find the Laplace transforms of the following function:

6. L{2cos3t + 5sin3t}

Find the Laplace transforms of the following function:

5. L{t^4}

Find the Laplace transforms of the following function:

4. L{e^5t}

Find the Laplace transforms of the following function:

3. L{e^-5t + t^2}

Find the Laplace transforms of the following function:

2. L{e^5t}

Find the Laplace transforms of the following function:

1. L{t^2sinkt}

1) A package of 6 cellphones contains 4 that are slightly defective. Elise bought 4 of these CP's at random. Let the random variable be the number of non-defective CP's.

a) List the elements of the sample space using D and N for defective and non defective cell phones respectively.

b) Determine the values of the random variables and create a probability mass function.

c) Solve for the mean.

d) Solve for the variance.

e) Solve for the standard deviation.

A package of 6 cellphones contains 4 that are slightly defective. Elise bought 4 of these CP's at random. Let the random variable be the number of non-defective CP's.

a) List the elements of the sample space using D and N for defective and non defective cell phones respectively.

The mean number of minutes that android phone users spend on an app is 8.2 minutes. Suppose the standard deviation is 1 minute. Take a sample of 60 What are the mean, standard deviation for the sample mean number of app engagement by a tablet user? and Find the probability that the sample mean is between 8 and 8.5 minutes. 2.) In a recent study, the mean age of online job search website users is 34 years. Suppose the standard deviation is 15 years. Take a sample of size n=100. a.) What are the mean, and standard deviation for the sample mean ages of tablet users? Find the probability that the sample mean age is more than 30 years