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Consider the problem: According to last year's report, a Filipino household spends an average of P500 per day for food. Suppose you recently took random samples of 30 households. You determined how much each households spent for food each day and the results revealed a mean of P450 and the standard deviation of P25.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population

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.

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