Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X

--- Expected value

--- Standard deviation

Step-by-step explanation:

Given

Solving (a): Expected value

This is calculated using:

Since they all have the same probability, the formula becomes:

Solving (b): Standard Deviation

First, we calculate the variance using

In (a), we have:

is calculated as:

Since they all have the same probability, the formula becomes:

So, we have:

Using a calculator

So:

The standard deviation is then calculated as:

---- approximated

answer: this is not a question

step-by-step explanation: this is a answer

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4