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
0.357 * 224 = ?
0.06 * 225 = ?\\
0.006 (not 0.06)
To predict how many more A+ donations the blood bank received than AB- donations, we first need to calculate the expected number of donations for each blood type based on the experimental probabilities.
Step 1: Calculate the expected number of A+ donations:
We know that the experimental probability of A+ blood type is 35.7%. So, to find the expected number of A+ donations, multiply the probability by the total number of donations:
Expected number of A+ donations = 35.7% * 224
Step 2: Calculate the expected number of AB- donations:
Similarly, using the experimental probability of AB- blood type being 0.6%, multiply it by the total number of donations:
Expected number of AB- donations = 0.6% * 224
Step 3: Calculate the difference between the expected number of A+ and AB- donations:
To find out how many more A+ donations the blood bank received than AB- donations, subtract the expected number of AB- donations from the expected number of A+ donations:
Difference = Expected number of A+ donations - Expected number of AB- donations
Let's calculate it.
Expected number of A+ donations = 35.7% * 224 = 0.357 * 224 = 80.168 (approximately 80.17)
Expected number of AB- donations = 0.6% * 224 = 0.006 * 224 = 1.344 (approximately 1.34)
Difference = 80.17 - 1.34 = 78.83 (approximately 78.83)
Therefore, the predicted number of more A+ donations than AB- donations is approximately 78.83.