Answer:
1/36
Step-by-step explanation:
chances of getting a 3 is 1/6 and a 4 is 1/6 multiply them and you get 1/36
Answer:
Nine hundred seven hundred thousand and three
Step-by-step explanation:
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
a. 
is a joint density function if its integral over the given support is 1:
so the answer is yes.
b. We should first find the density of the marginal distribution, 
:
Then
or about 0.2019.
For the other probability, we can use the joint PDF directly:
which is about 0.7326.
c. We already know the PDF for 
, so we just integrate:
![E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5](https://tex.z-dn.net/?f=E%5BY%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20y%5C%2Cf_Y%28y%29%5C%2C%5Cmathrm%20dy%3D%5Cfrac15%5Cint_0%5E%5Cinfty%20ye%5E%7B-y%2F5%7D%5C%2C%5Cmathrm%20dy%3D%5Cboxed5)
Answer
Step-by-step explanation:
The area would be length times width. x(4x+8) =96
4x^2+8x = 96
4x^2+8x-96=0. We need to factor.
It would be factored to (4x-16)(x+6) = 0
x would be -6 (x+6=0)
or x would be 4 (4x-16=0)
Why would the width be negative?!? So the answer is 4
