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

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

inverse property is the answer

step-by-step explanation: