Anormal distribution is symmetric; therefore the probability of being below the mean is 0.50 and the probability of being above the mean is 0.50.a. trueb. false

a. True

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement is true or false.

Statement: A normal distribution is symmetric; therefore the probability of being below the mean is 0.50 and the probability of being above the mean is 0.50.

We know that normal distribution is continuous probability distribution.

We know that the total area under a normal distribution curve is equal to 1. We also know that mean represents center of the normal distribution curve.

The half area will be below center and half area will be above center.

Since 0.50 is half of 1, therefore, the probability of being below the mean is 0.50 and the probability of being above the mean is 0.50 and given statement is true.

step-by-step explanation:

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