2. In two tosses of a fair die, what is the probability that: i. The sum of the two numbers that show up is 7?
ii. The sum of the two numbers that show up is even?
iii. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?

Step-by-step explanation:

The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.

i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)

The probability that the sum of the two numbers that show up is 7 is

6/36 = 1/6

ii) the number of outcomes whose sum is even are 18

The probability that the sum of the two numbers that show up is even is

18/36 = 1/2

ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)

The probability that the sum of the two numbers that show up is greater than 9 is

6/36 = 1/6

3) this is a poisson distribution. We want to determine the mean.

Mean = np

p = 5/200 = 0.025

n = 600

Therefore,

Mean = 0.025 × 600 = 15 eggs

15 eggs are expected to be broken from a crate containing 600 eggs

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.