Question

According to records from 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. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80 F and 5-6 as a temperature 80 F or below, what is the best way to preform the stimulation?

Answer 1

Keep track of every 1, 2, 3 or 4 rolled in 30 rolls. These represent the number of days the temperatures is above 80 degrees F. Repeat this 100 times.

Explanation:

Trust me on this one. I had to do this exact question for an iready quiz and I got it right! Good luck!!! :)

Answer 2

Probability that temperature goes above 80 F =P= Success =
`(2)/(3)`

Probability that the temperature goes below 80 F or 80 F =Q= Not Success=
`1-(2)/(3) =(1)/(3)`

Number of Days in June = 30 Days

Probability ,that it will be above 80 F for 20 or more days this June

=
`_(20)^(30)\textrm{C}P^(20)Q^(10)+_(21)^(30)\textrm{C}P^(21)Q^(9)+_(22)^(30)\textrm{C}P^(22)Q^(8)+_(23)^(30)\textrm{C}P^(23)Q^(7)+.........+_(30)^(30)\textrm{C}P^(30)Q^(0)`

The best way to perform stimulation if we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80 F and 5-6 as a temperature 80 F or below, Shows that we have marked four numbers i.e (1-4) as temperature above 80 F , so maximum number of days in june are of temperature above 80 F and less number of days are of the temperature, which is below 80 F or equal to 80 F.By converting it into a cube then playing the game in classroom by collecting money from classmates by making five groups and rolling cube five times , if number from (1-4) comes after rolling the cube you will win $5 money and if number from (5-6) comes you win $10.The group who has maximum correct answer wins the game.