Some probabilistic events are modeled by using the so-called bell curve or normal distribution $N(\mu , \sigma)$ where $\mu$ is the mean and $\sigma$ is the standar deviation. The cummulative values for the normal distribution are usually given as 'left tail' of the sum of all values less than certain maximum value. In other words, the value of $P(X\leq X_o)$ is given by tables or any digital means because the cannot be directly computed by formulas. We used the Excel's formula called NORM.DIST(x,mean,standard_dev,cumulative).

The study case of the question provides the following data

$\mu=4,\ \sigma=0.2$

And we are required to compute $P(X>3.75)$ . Since the Excel formula gives us the left-tail value, we use the negation of that value to find our desired probability, that is:

$P(X>3.75)=1-P(X\leq 3.75)$

We now find the value of NORM.DIST(3.75,4,0.2,TRUE)=0.1056. Thus

$P(X>3.75)=1-0.1056=0.8944$

Thus the probability that more than 3.75 gallons are used for any wash cycle is 0.8944 or 89.44%

8 0

4 years ago

What are Montesquieu's views on justice

EleoNora [17]

Answer:

Montesquieu sought in these elements, all certain types of the past, not political morality or the good society as such, but he sought nature. And political morality, or natural law, is hidden there. Thus, nature is the source of political morality, and not history. Montesquieu and his work are not historicist.

Explanation:

7 0

3 years ago