Answer:
A
Step-by-step explanation:
The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.
This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.
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