Question

Create a Binomial Probability Distribution by following the steps below. 1. Label column A as x...

Create a Binomial Probability Distribution by following the steps below.

1. Label column A as x

2. Label Column B as P(x)

3. In Column A, list the numbers 0 to 12. What do these numbers represent in our situation?

4. Click on cell B2. Click on fx. Choose STATISTICAL then BINOM.DIST.

5. In the dialog box:

Number_s is the number of successes. Click on cell A2

Trials refers to the total number of trials, in our case 12 donors so type in 12.

Probability_s is the probability of success, in our case 40% or .4 since that is the probability of Type A blood.

Cumulative: FALSE or 0 calculates the probability of EXACTLY x successes. TRUE or 1 calculates the probability of X OR FEWER successes. We are constructing the frequency distribution so we want the EXACT probability for each x. In symbols, we want P(x) for each x = 0, 1, 2, ...., 12. Type in FALSE or 0.

6. Use the fill handle to complete the table for all values of x. Format cells to give 3 decimal places.

7. Make a probability histogram (Insert -> Column Chart).

8. What is the shape of your histogram?

ANSWER THE FOLLOWING QUESTIONS: Each donor gives 1 unit of blood. What is the probability that exactly 5 units collected in this drive will be type A?

What is the probability that 5 or fewer units collected in this drive will be type A?

Our patient requires 5 units of of Type A blood for his upcoming surgery. What is the probability that this blood drive will get him what he needs?

(Hint: it's possible that more than 5 donors will have Type A blood, too.)

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