The experimental probability that a person in the United States has the A+ blood type is 35.7%. The experimental probability that a person in the United States has the AB– blood type is 0.6%. Last week, a blood bank received 224 donations. Predict how many more A+ donations the bank received than AB– donations. Explain your reasoning.

out of the 224, the expected number of A+ i

= .357(224) = 79.968 or 80 cases
out of the 224, the expected number of AB-
= .006(224) = ....

carry on

To predict how many more A+ donations the blood bank received than AB- donations, we need to find the expected number of donations for each blood type and then subtract the expected number of AB- donations from the expected number of A+ donations.

To start, we need to calculate the expected number of A+ donations and AB- donations based on the experimental probabilities given.

Step 1: Convert the experimental probabilities to decimal form:
The experimental probability of A+ blood type is 35.7%, which in decimal form is 0.357.
The experimental probability of AB- blood type is 0.6%, which in decimal form is 0.006.

Step 2: Calculate the expected number of A+ donations:
Multiply the decimal form of the experimental probability of A+ blood type by the total number of donations received.
Expected number of A+ donations = 0.357 * 224

Step 3: Calculate the expected number of AB- donations:
Multiply the decimal form of the experimental probability of AB- blood type by the total number of donations received.
Expected number of AB- donations = 0.006 * 224

Step 4: Calculate the difference between the expected number of A+ donations and AB- donations:
Subtract the expected number of AB- donations from the expected number of A+ donations.
Difference = (0.357 * 224) - (0.006 * 224)

Now, let's calculate the final result:

Expected number of A+ donations = 0.357 * 224 = 79.968
Expected number of AB- donations = 0.006 * 224 = 1.344

Difference = 79.968 - 1.344

Therefore, the blood bank is predicted to receive approximately 78.624 more A+ donations than AB- donations.

Explanation: To find the expected number of donations for each blood type, we multiplied the respective experimental probability by the total number of donations received (224). By subtracting the expected number of AB- donations from the expected number of A+ donations, we determined the predicted difference.