Answer:
Step-by-step explanation:
Answer:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have
The deviation is related to expected value and probability as
Thus the values between the given deviation is
Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.
Start by calling the shortest side
. We then know that the longer leg (call it
) is 7 feet longer i.e.
. We also know that the hypotenuse,
is 1 foot more than twice the short leg i.e.
. We now have 3 unknowns but only 2 equations to solve them. Luckily we know this is a right triangle so we can use the Pythagorean Theorem as our third equation:
Substituting known values:
This is now an equation in one variable and can be solved algebraically for
. Back-substitution can then be used for the other sides.
What are the answer choices?