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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:
- 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
If cos(𝜃 ) = 3/5 and tan( 𝜃 ) < 0 , find the exact value of each of the remaining trigonometric functions of 𝜃
A lawyer claims that the average years of settling criminal cases filed before courts is three
and a half years. To test the claim, a watchdog organization randomly selected 35 criminal
cases and recorded the years the cases took before the courts have been rendered verdicts.
The sample mean was 4 years with a standard deviation of three and a half years. Do the
data gathered by the said organization provide sufficient basis to accept the claim of the
lawyer? Use 0.05 level of significance.
