Question

What is the answer a-h to this problem? Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places.

Answer 1

The probability that a person is born after week 40 in a uniformly distributed 52-week period is 0.2308, calculated by dividing the number of weeks after week 40 by the total number of weeks.

Step-by-step explanation:

The question relates to the probability within a uniform distribution of births over a 52-week period.

To find the probability that a person is born after week 40, we note that with a uniform distribution from week 1 to week 53, each week has an equal probability of having a birth. Since there are 52 weeks in total and we're looking at births after week 40, we're interested in the births from week 41 to week 52, which is a span of 12 weeks.

The probability that a person is born after week 40 (h) is the number of weeks after week 40 divided by the total number of weeks. To calculate this, we get:

Probability = (52 weeks - 40 weeks) / 52 weeks = 12 weeks / 52 weeks = 0.2308 (rounded to four decimal places).