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Is a good hitter in baseball who has struck out the last six times due for a hit his next time up?

Question 2 options:

After many observations, the relative frequency = # of events of interest / total # events appears to settle down to a constant value.

This is an example of the

1 law of averages

2 law of large numbers

Question 4 (Mandatory) (6 points)

How many permutations can be formed by sampling 5 things from 7 different things without replacement? 

Your Answer:

Question 4 options:

How many combinations of 4 people can be formed from 7 people?

Your Answer:

Question 5 options:

Mutually Exclusive Events

If event A and event B cannot occur jointly (simultaneously), P(A and B) = 0, and A and B are called mutually exclusive events.  So, if a local zoo only had mammals and reptiles, the sample space for types of zoo animals would be only mammals and reptiles.

Based on the zoo that had only mammals and reptiles, the sample space for this question contains only Mammals and Reptiles.

Choose the statements which are true for this scenario.

Question 6 options:

Question 7 6points

Toss 2 dice, and let the event be the sum of the values of the top faces. The possible outcomes are computed inside the following table

at the intersection of the row of the "toss of 1st die" and the column of "toss of 2nd die":

Because there are 36 outcomes, the probability of a sum = frequency of the sum/36.

So, the probabilities of the sums are

Only one of the sums 2 through 12 can occur in a single toss of the dice. These are mutually exclusive events. The Simple Addition Rule P(A or B) = P(A) + P(B applies).

What is the probability of choosing a red card or a King from a deck of 52 cards? 

For this event, choosing a red card or choosing a King, where choosing a red card and choosing a King may occur jointly, which rule applies?

Question 8 options:

Saved

P(A) = 0.500

P(B) = 0.200

P(A and B) = 0.100

Are events A and B independent?

Question 9 options:

Question 10 (Mandatory) (6 points)

When are events A and B dependent?

Question 10 options:

Question 11

Two customers enter a store. Independently, they make decisions to purchase or not to purchase. The following diagram shows how the outcomes can occur and combine with red bolding of sequence Customer 1 does not purchase and Customer 2 does not purchase.

The possible outcomes are shown on the right. If the event is the number of purchases, 3 events are possible: 0 purchases, 1 purchase, and 2 purchases.

Which one rule applies to the sequence of independent outcomes of Customer 1 and Customer 2?

Question 11 options:

Assume the following new probabilities:

P(Customer makes a purchase) = 0.150

P(Customer does not make a purchase) = 1- 0.150

Compute the probability that neither customer purchases (# purchases = 0), and enter your answer with 3 decimal places.

Your Answer:

Question 12 options:

Assume the following newest probabilities:

P(Customer makes a purchase) = 0.900

P(Customer does not make a purchase) = 1- 0.900

Compute the P(1 purchase), and enter your answer with 3 decimal places.

Your Answer:

Question 13 options:

There are two mutually exclusive reasons for visiting the emergency room of the local hospital: it is either an emergency or it is not an emergency.  If the probability that a patient visiting the emergency room has an emergency is 0.89, what is the probability that the next patient has an emergency and the patient after the next one does not have an emergency?  Assume that the patients arrive at the emergency room independently. (Round to three decimal places.)

Your Answer:

Question 14 options:

P(Male) is a ______ probability.

Question 15 options:

Compute the probability of the event Democrat, and enter your answer with 3 decimal places.

Your Answer:

Question 16 options: