Answer:
there's no picture
Step-by-step explanation:
Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
Answer:
4.924 years
Step-by-step explanation:
Lets denote X the lifetime of a tv tube (In years). X has distribution 
, with 
unknown.
We know that P(X < 4) = 0.2. Using this data, we can find the value of throught standarization.
Lets call 
the standarization of X. Z has distribution N(0,1), and its cummulative function, 
is tabulated. The values of can be found in the attached file.
The value q such that 
doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that 
, hence -q must be equal to 0.84. Thus, q = -0.84
But this value of q should match with the number 
, so we have
Thus, the expected lifetime of TV tubes is 4.924 years.
I hope this works for you!
Answer:
a. μ = 25
b. σ = 16.496
Step-by-step explanation:
Note: See the attached excel for the calculation of Mean and Deviation from Mean.
Let: N = Number of observation = 9
F = Frequency
Therefore, we have:
a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)
From the attached excel file, we have:
Total F = 200
Therefore, we have:
μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25
b. Compute the standard deviation σ=___(please round to three decimal places as needed)
From the attached excel file, we have:
Total (F - μ)^2 = 2,177
σ = Standard deviation = (Total of (F - μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496
