Answer:
Z = (60 - x + y + z) / √a + b + c
Step-by-step explanation:
Since it is a normal distribution, we must calculate the mean and standard deviation, since we do not have data, what we will do is leave them based on these:
Thus Total Mean time = M1 + M2 + M3
given:
M1 = x
M2 = y
M3 = z
Total Mean Time M = x + y + z
Now to calculate the standard deviation we first calculate the variance.
The total Variance V = V1 + V2 + V3
Given:
V1 = a
V2 = b
V3 = c
V = a + b + c
Thus Standard deviation SD of the complete operation is
SD = √ V
SD = √a + b + c
we need to find the probability that the mean time is less than or equal to 60 minutes, the first thing is to find the value of Z.
Formula of Z is:
Z = (X - M) / SD
In this case X = 60.
On plugging the values we get
Z = (60 - x + y + z) / √a + b + c
refer to the Z table and find the Probability of Z ≤ (60 - x + y + z) / √a + b + c
Answer:
I posted the steps in my photos for an answer.
Answer:
E(Y) = 1.666667
Step-by-step explanation:
By E(Y), we mean the expected value of Y. This is given as:
E(Y) = ,
Where F is the frequency.
As given:
The sample space (S) = {T,T,H}
And has a probability of:
H = 1/3
T = 2/3.
Frequency:
H = 1
T = 2.
Thus,
E(Y) = 1*(1/3) + 2*(2/3)
E(Y) = 1.666667.
Answer:
Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.
Step-by-step explanation:
810/10.8 = 75 ...so as the answer