Answer:
a)
And we can find this using the cumulative distribution function:
b)
And we can find this using the cumulative distribution function and the complement rule on this way:
c)
And we can find this using the cumulative distribution function:
d)
And we can find this using the cumulative distribution function and the complement rule on this way:
e)
And we can find this using the cumulative distribution function:
Step-by-step explanation:
For this case we have the following cumulative distribution function:
Part a
We want this probability:
And we can find this using the cumulative distribution function:
Part b
We want this probability:
And we can find this using the cumulative distribution function and the complement rule on this way:
Part c
We want this probability:
And we can find this using the cumulative distribution function:
Part d
We want this probability:
And we can find this using the cumulative distribution function and the complement rule on this way:
Part e
We want this probability:
And we can find this using the cumulative distribution function: