The gross income of maurice is 785 per week. His deductions are 42.25 FICA tax, 90.33 income tax, 2% state tax 1% city tax, and
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Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by:
Area= 14.142
Perimeter=20
Height=3.14
a. 9:00 AM is the 60 minute mark:
b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is
c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is
The probability of doing so for at least 2 of 5 days is
i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.
d. Integrate the PDF to obtain the CDF:
Then the desired probability is