Answer:
a)
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
,
, 
a. Compute both P(X≤4) and P(X<4).
Using the pmf we can find the individual probabilities like this:




b. Compute P(4≤X≤ 8).







c. Compute P(8≤ X).


d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?
The mean is 4 and the deviation is 2, so we want this probability





Answer:
It is shifted c units to the left .
Step-by-step explanation:
In general, adding a constant c to the value of x shifts a graph c units to the left.
The graph of y = x + c is parallel to y = x, the y-intercept becomes (0, c) and the x-intercept becomes (-c, 0).
In the diagram below, the red line is the graph of y = x, and the blue line is the graph of y = x + 1.
Answer:
In year 1986 the average cost of car is $12,000
Step-by-step explanation:
Cost function:
C = 30.5t² + 4192
Cost = $12,000
Find:
Year
Computation:
C = 30.5t² + 4192
12,000 = 30.5t² + 4192
t = 16 year
So,
Year 1970 + 16 year
1986
So, In year 1986 the average cost of car is $12,000
Answer: The answer to the first is -29x-5. The Answer to the second is -5/6a - 5/8
Step-by-step explanation:I took the K12 test I hope this helps.