add them together then divide by 5
81 +86 +81 +76 +71 = 395
395/5 = 79
your average was 79
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

Multiply both sides by 3.
4x + 4 = 36
Subtract 4 from both sides.
4x = 32
Divide both sides by 4.
x = 8
Answer:
Exact form: 23/12
Decimal form: 1.916 repeating
Mixed number form: 1_11/12
Step-by-step explanation:
Turn 2_1/4 into fraction
(2 x 4) = 8 + 1 = 9
9/4 - 1/3 = 23/12