According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be above 80' F for 20 or more days this June. There are 30 days in June. Use the simulation data to find the probability

The answer for this problem is 52%

Here we shall use the binomial distribution formula to evaluate the probability:

let the probability that the temp will be above 80 be P (F) = 2/3;

Probability that the temp will be below 80 be P (F') = 1/3

thus,

The probability that the temp will be above 80 for 20 days for the month of June will be:

P (F) = n! / ((n-x) ! x!) p^xq^ (n-x)

p=2/3 and q=1/3, n=30, x=20

plugging the values in the equation we obtain:

P (F) = 30! / (10!*20!) * (2/3) ^20 * (1/3) ^ (30-20)

P (F) = 0.153