Answer:
µ = 2.82
Variance(X) = 0.169
Step-by-step explanation:
The complete question is:
An optical inspection system is to distinguish among different part types. The probability of a correct classification of any part is 0.94. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine:
(a) the mean
(b) variance of X .
Round your answers to three decimal places
Solution:
Part A:
First we have to find the mean.
We have,
n = 3
p = 0.94
µ = n*p
Put the values in the formula:
µ = 3*0.94
µ = 2.82
Part B:
To find the Variance of X:
Var(X) = np(1 - p)
= 2.82(1 - 0.94)
= 2.82(0.06)
= 0.1692
By rounding off:
= 0.169
Answer:
$106
Step-by-step explanation:
The formula given for Monthly payment of a loan =
P × [ r (1 + r)/(1 + r)^n - 1
Where
r = interest rate
n = number of monthly payments
P = Present value of the loan
From the question,
r = interest rate, we were told to ignore hence, r = 0
P = $3,175
n = 30
Hence,
Amount to be paid monthly = P/n
= $3175/30
= $105.83
Approximately to the nearest dollars
= $106
4.)2x-3y=-15
x=4y