Consider the probability that no less than 71 out of 303 people have been in a car accident. Choose the best description of the area under the normal curve that would be used to approximate binomial probability. Area to the right of 70.5 Area to the right of 71.5 Area to the left of 70.5 Area to the left of 71.5 Area between 70.5 and 71.5
Solution
Step 1 ：The question is asking for the probability that no less than 71 out of 303 people have been in a car accident. This means we are interested in the probability of having 71 or more people who have been in a car accident.
Step 2 ：In terms of the normal distribution curve, this would be represented by the area under the curve to the right of the point representing 71 people.
Step 3 ：However, when using a normal distribution to approximate a binomial distribution, we apply a continuity correction by subtracting 0.5 from the discrete value.
Step 4 ：So, we are interested in the area to the right of 70.5 (71 - 0.5), not 71.5 (71 + 0.5), because we are looking for the probability of having 71 or more people who have been in a car accident.
Step 5 ：Final Answer: The best description of the area under the normal curve that would be used to approximate this binomial probability is the \(\boxed{\text{Area to the right of 70.5}}\).
