Answer:
the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.
Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.
Answer:
Total FICA tax deducted from gross pay is $ 141 .22 .
Step-by-step explanation:
As given
Mira's gross pay is $1846.
The Social Security tax is 6.2% of gross pay.
6.2% is written in the decimal form.
= 0.062
Social Security tax = 0.062 × Gross pay
= 0.062 × 1846
= $ 114.452
As given
The Medicare tax is 1.45% of gross pay.
1.45% is written in the decimal form .
= 0.0145
Medicure tax = 0.0145 × Gross pay
= 0.0145 × 1846
= $ 26.767
Total FICA tax deducted from Gross pay = Social Security tax + Medicure tax
= $114.452+ $26.767
= $141.219
= $141.22 (Approx)
Therefore the total FICA tax deducted from gross pay is $ 141 .22 .
Answer:
x = h = ∛7 cm ≈ 1.913 cm
Step-by-step explanation:
The volume and other dimensions are related by ...
V = Bh = x²h
Solving for h gives ...
h = V/(x²)
The surface area is ...
S = 2(x² +h(2x)) = 2x² +4x(V/(x²)) = 2x² +4V/x
Differentiating with respect to x, we can find where the derivative is zero.
S' = 4x -4v/(x²) = 0
x³ -V = 0 . . . . . . . multiply by x²/4
x = ∛V . . . . . . . . . solve for x
h = V/(∛V)² = (∛V)³/(∛V)² = ∛V
The surface area is minimized when the box is a cube. Its edge lengths are all (∛7) cm ≈ 1.913 cm.
Answer:
Binomial probability distribution concept & application, example
Step-by-step explanation:
Yes, this represents a binomial setting. As, it is used for finding probability of - particular number of success outcomes , from repetitive or multiple events.
Here
- Success {Event P} ie small fish, with prob = 30% = 0.3 .Failure {Event Q} ie large fish, with prob = 70% = 0.7
- Number of trials = 20. Let r be number of small fishes out of 20 fishes.
Binomial probability = N c r . (P)^r . (Q)^ (n-r)
Ex : P( 5 small fish out of 20) = 20c5 (0.30)^5 (0.70)^15
