Question

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.

Answer 1

Answer:

The answer is 0.59

Step-by-step explanation:

We can find the probability the event by thinking the event as binomial distribution. Probability of a day temperature higher than 80F is p=0.67 and the probability of a day temperature equal or lower that 80F is q=0.33. Therefore, the probability of more that 20 days are hotter than 80F in the June will be:

$P(X\geq 20)=combination(30,20)*0.67^{20}*0.33^{10}+combination(30,21)*0.67^{21}*0.33^{9}+....+combination(30,30)*0.67^{30}*0.33^{0}=0.59$

Answer 2

I think the answer is 52% because I got it correct on i-Ready. I really hope this helps because I hate that when you fail you have to redo a lesson. 

Have a great day and let me know if this is the right answer.