The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
Learn more about moment-generating function here:
brainly.com/question/15061360
#SPJ4
Sphere surface area is A=4pi*r^2. So r is sqrt(A/4pi)
r=4cm. So d=8cm
Answer:
$33 per hour
Step-by-step explanation:
"Time and a half" means the overtime rate is 1 1/2 times the base rate.
overtime rate = (1 1/2) × $22/hour = $(22 +1/2(22))/hour = $33/hour
The correct overtime rate is $33 per hour.