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.

... explanations of how to use the binomial distribution to find probabilities of events ... Probability and Binomial Distribution 6. The industry standards suggest ...

Probability Computations for SImulation Tables. The time between arrivals of customers to a gas station pump is given by the following probability distribution. ...

... enough, by central limit theorem, sampling distribution of sample ... D) What is the probability that the sampling made ... P(-0.91<Z<0.91)=0.6372 from normal table. ...

... The solution describes the steps for finding probabilities of given events with the help of normal distribution. ... a) What is the probability that a shoe ...

... Use function NORMSDIST(z) to make the standard normal distribution table. The function NORMSDIST returns a cumulative probability value of P(-  < Z < z ...

... How would the values of this table be interpreted in terms of linear regression? ... In order to be a probability distribution, all the probabilities should be ...

... column contains relative frequencies, which may be thought of as probabilities. Therefore, we may view the table as describing a probability distribution. ...

... that a procedure yields a binomial distribution with a trial repeated with a trial n times. Using a binomial probabilities table, find the probability of x ...

...probability P(5) by using a binomial table. (b) If np ≥ 5 and nq ≥ 5, also estimate the indicated probability by using the normal distribution as an ...