Question

Every normal model is definite by its parameters, the mean and standard deviation. find the missing parameter, = 1250, 35% below 1200; = ?

Answer 1

To find the missing parameter in a normal distribution model, we can use the formula x = µ + (#ofSTDEVs)(σ). By using the given information and solving the equation step by step, we can find the missing parameter, which is the standard deviation (σ).

Step-by-step explanation:

In order to find the missing parameter, we need to use the formula for a normal distribution: x = μ + (#ofSTDEVs)(σ). Given that the mean (μ) is 1250 and the data point is 35% below 1200, we can calculate the standard deviation (σ) and find the missing parameter.

Step 1: Convert the percentage to a decimal:

35% = 0.35

Step 2: Calculate the difference between the mean and the data point:

1200 - 1250 = -50

Step 3: Use the formula x = μ + (#ofSTDEVs)(σ) to find the missing parameter:

x = 1250 + (-0.35)(σ)

The missing parameter is σ, the standard deviation.

Now, we can solve for σ:

-50 = -0.35(σ)

σ = -50 / -0.35