Statistics

A hectogram is a unit of mass or weight therefore a linear dimension is inapplicable.

what

z-score of a value=(that value minus the mean)/(standard deviation)

square (25/36) = 5/6 = .833

There are 10 decimetres in one metre. Therefore, 42 decimetres is equal to 42/10 = 4.2 metres.

Estimator is the correct spelling.

45 and 45. 60 and 30.5 and 85. etc.. complementary angles

it is the highest number minus the lowest number in a sequence of numbers

A sample is a small part of anything or one of a number, intended to show the quality, style, or nature of the whole; specimen.

So, for instance, when you go to an ice cream shop and they give you a taste spoon with one flavor you want to try, that is a sample. It is a small portion designed to help you decide if you want more of it.

It actually means this. KatAyoun is name of an artist.

The quality not quantity of information upon which your life is built upon. A combination of common and book sense. Making you a well riounded individual.

It is quite likely to be 22000 microlitres.

Kelp is large marine seaweeds that grow underwater in shallow oceans. There are many types of kelp underwater and regular kelp can reach up to 60m length. Kelp has an important role under the sea as it is the food and habitat for fish and other creatures.

no.

Of the 36 possible outcomes of a throw of two dice, all but two result in a sum other than 3.

So Prob(Not a three) = 100*34/36 = 94.44... %

0.8 metres (80 centimetres)

Tip: 1 decimetre is 10 centimetres

you can use a pie chart, a graph chart, or a graph chart. Hope i helped!

The answer depends on if and how the events depend on one another.

I could not find a good derivation of the mgf for the normal on the web. However, I found a complete derivation on page 270 of Probability and Statistics by DeGroot, 2002 Edition. Most university libraries should have a copy.

The first equation on page 270 goes from exp(a)exp(b) to exp(a+b).

The second equation is a direct result of "completing the squares" method. See page 281.

In third equation on page 270 DeGroot goes from exp(a+b) to exp(a)exp(b) which allows to define a constant exp(mu*t +1/2*sigma^2 * t^2) which he can pull out from the integral.

The "disappearing" of the square-root with 2pi occurs because the C as defined in DeGroot iin the fourth equation is the complete integral of the cdf of a normal distribution, for any value of t.

DeGroot states we can replace mu with mu+sigma^2*t, but I would have preferred

Let mu* = mu +sigma^2*t, then for any t, the cdf of the normal, N(mu*, sigma), integrated from minus infinity to positive infinity must equal 1.

Thus what appeared to be an integration requires no integration at all. I could restate the derivation as:

mgf(t) = f(t) * integral of N(x, mu*,sigma) from minus infinity to positive.

mgf(t) = f(t) * 1

mgf(t) = exp(mu*t +1/2*sigma^2 * t^2)

Sometimes the mean does not give the entire picture of how the data behaves. For example: {2, 2, 3, 15, 100}

The mean is 24, the median is 3. This shows that if you graph these numbers on a line, they will be grouped much more to the low end than near the mean. ■

Red cards are known as Hearts and Diamonds.

340 kilometers = 1,115,485.56 feet

The probability of rolling a 4 or higher on a standard die is 1 in 2.