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: he earned $344 in all.
Step-by-step explanation:
When he does work outdoors he earns $12 an hour. This means that if he works outdoors for x hours, he would earn $12x
When he works indoors he earns $8 an hour. This means that if he works indoors for y hours, he would earn $8y.
Last month he worked 18 hours outdoors. This means that the total amount that he earned working outdoors is
12 × 18 = $216
He worked 16 hours indoors. This means that the total amount that he earned working indoors is
8 × 16 = $128
Total amount that he earned is
216 + 128 = $344
392.967032967
...................................................................
Answer = 150.75
50.25 * 5 = 251.25
50.25 * 2= 100.5
251.25-100.5= 150.75
Answer:
3miles per hour^2
Step-by-step explanation:
given data
initial speed u= 15mph
final speed v=45mph
time taken t= 10 seconds
Step two:
Required
acceleration a=?
applying the first equation of motion
v=u+at
substitute we have
45=15+a*10
45=15+10a
make a subject of the formula
45-15=10a
30=10a
divide both sides by 10
a=30/10
a=3miles per hour^2
