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# probability distribution table

1. A person flips a quarter, dime, and nickel. Let x be the number of tails. Complete this probability distribution table.
X 0 1 2 3
P(x)

2. For the following normal distribution problems find the indicated values. Include a sketch of the appropriate area with each answer.

The area to the left of z = 1.25

The area to the right of z = 1.25

The area between z = 0 and z = 1.25

The area between z = -1.45 and z = 1.25

The z value such that the area to the left of z is 0.9370

#### Solution Preview

Please see the attached file for detailed solution.

A person flips a quarter, dime, and nickel.  Let x be the number of tails.  Complete this probability distribution table.

X 0 1 2 3
P(x)

When you flip a coin, the probability of obtaining a tail is 0.5. the probability of head is 0.5 too.
Therefore, this is a binomial distribution with n = 3, and p = 0.5. Then the probability is
When x = 0, there is no tail, the probability is

When x = 1, the probability is
When x = 2, the probability is
When x = 3, the probability is
The table x: 0 1 2 3
P(x): 0.125 0.375 0.375 0.125

For the following normal ...

#### Solution Summary

The solution shows how to construct the probability distribution table for flipping a quarter, dime, and nickel. It also explains how to use z-score and z-table to find the probability of the normally distributed variable.

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