Final answer:
The experimental probability of the temperature being below 45°F on the twenty-ninth day is 8 out of 28 days, which simplifies to 2/7. The provided options do not include the correct simplified probability.
Step-by-step explanation:
The question asks about the experimental probability that the high temperature will be below 45°F on the twenty-ninth day, given that for the past twenty-eight days, the high temperature has been greater than 45°F on 20 out of 28 days. To calculate this, we look at the number of days when the temperature was below 45°F. That happened 8 times (since 28 total days minus 20 days above 45°F equals 8 days below).
To calculate the experimental probability, we divide the number of favorable outcomes (days below 45°F) by the total number of outcomes (total days recorded). Thus, the experimental probability P(E) is:
P(E) = Number of days below 45°F / Total number of days
P(E) = 8/28
Since 8 and 28 can both be divided by 4, we can simplify this fraction to:
P(E) = 2/7
None of the options provided (A: 5/7, B: 4/7, C: 20/28, D: 8/28) match the correct answer, which is 2/7 after simplification.