Answer:
Mean = 3
Variance = 2
Step-by-step explanation:
Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2
The probability mass function will therefore be
x 1 2 3 4 5
p 0.2 0.2 0.2 0.2 0.2
The mean is given as the expected value
And expected value is given as
E(X) = Σ xᵢpᵢ
where x = each possible sample space
p = probability of the sample space occurring.
E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.
b) Variance is given by
Variance = Var(X) = Σx²p − μ²
where μ = E(X)
Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11
Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2
Answer:
HOPE THAT MAY HELP YOU :)
Step-by-step explanation:
There are multiple ways to prove a triangle congruent. Some of them are discussed below :
ASA : It stands for Angle-Side-Angle . This states that the corresponding Angle , Side and Angle of the two triangles must be equal when taken in a order to prove them congruent to each other.
SSS : It stands for Side-Side-Side . This states that the corresponding All three sides of the two triangles must be equal when taken in a order to prove them congruent to each other.
SAS : It stands for Side-Angle-Side . This states that the corresponding two sides and one angle between the two equal sides of the two triangles must be equal when taken in a order to prove them congruent to each other.
Answer:
12 pounds, 6 ounces.
Step-by-step explanation:
First, add up both the pounds. 6+5=11 . Then, add up the ounces. 7+15=22 To simplify, since ounces make up pounds, and 16 ounces are in one pound, you would do 22 divided by 16. This will end in a decimal so take the highest number of 16 that can go into 22, which is 1. Subtract 16 from 22 to get the new number of ounces. This would be 6. Then, add 1 to the number of pounds. This would be 12. The simplified/combined answer is 12 pounds and 6 ounces.
Idk if you wrote it incorrectly. but im just going to avoid the first 5× soooo x= -1