Step 1: Determine how many people are there..
There arepeople.
Step 2: Determine how many people shake hands in a handshake...
people make one handshake.
Step 3: Determine how many handshakes can be made...
We have a restriction here, so we need to use permutation..

So, there will behandshakes.

handshakes

Step 1: Count how many letters are in the word ANACONDA...

There are 8 letters.

Step 2: Count how many repeats of any letters (if any)..

There areA's andN's.

Step 3: Find how many ways I can rearrange...

Step 1: Count how many numbers are in the word...

There areletters.

Step 2: Count the number of repeated letters...

There areT's

There areO's

There areR's

Step 3: To find how many ways I can arrange the letters, take the factorial of the total number of letters and divide it by the factorial of how many times a certain letter repeats...

So,

Because x is a continuous uniform random variable the expected value and variance can be found with the following formulas:

X is uniform on (a,b). In this case a is 0 and b is 50. Plugging the values of a and b into the given formulas will give the answers:

This problem uses the Binomial Distribution:

For this problem n is the number of trials, or 15. Because the problem stated that the coin was a fair coin the probability of heads is one half, or .5.

The binomial distribution is a discrete distribution so the expression x<3 has to be broken down.

Adding the probabilities will give the final answer.

The first step in this problem is calculating the z-score.

The next step is to look up 4 in the z-table. The value from the table is.

A-score indicates whether a particular value is typical for a population or data set. The closer the-score is to 0, the closer the value is to the mean of the population and the more typical it is. The-score is calculated by subtracting the mean of a population from the particular value in question, then dividing the result by the population's standard deviation.

A Z-score indicates whether a particular value is typical for a population or data set. The closer the Z-score is to 0, the closer the value is to the mean of the population and the more typical it is. The Z-score is calculated by subtracting the mean of a population from the particular value in question, then dividing the result by the population's standard deviation.

To find the z-score, follow the formula

or

A z score is unique to each value within a population.

To find a z score, subtract the mean of a population from the particular value in question, then divide the result by the population's standard deviation.