Location Long-Term Mean % of Clear Days in Dec. Juneau, Alaska 18%
Seattle, Washington 24%
Hilo, Hawaii 36%
Las Vegas, Nevada 75%
Phoenix, Arizona 77%
In the locations listed, the month of December is a relatively stable month with respect to weather. Since weather patterns in these locations from one day to the next are more or less the same, it is reasonable to use a binomial probability model.
Let r be the number of clear days in December. Since December has 31 days, 0≤r≤31. P(r) is the binomial probability for each of the listed locations when r=0,1,2,… ,31. Include your formula setup or calculator comments to answer the following questions.
1. Find the probability that Juneau will have at most 8 clear days in December.
2. Find the probability the Hilo will have at least 14 clear days in December.
3. Find the probability that Phoenix will have 20 or more clear days in December.
4. Find the probability that Las Vegas will have no more than 18 clear days in December.
5. Find the probability that Seattle will have from 5 to 10 (including 5 and 10) clear days in December.