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





<span>rectangle
A = L * W
1.7 = 3.4 * z
z = 1.7 / 3.4
z = 0.5
answer
</span><span>z=0.5</span>
The answer is B for increase of one year the events increase by 0.5
You can do this by using the eqn
y=0.5x-1.3
y=0.5(15)-1.3
y = 7.5-1.3
y = 6.2
y=0.5(16)-1.3
y=8-1.3
y=6.7
6.7-6.2 = 0.5