Answer:
Refer below
Step-by-step explanation:
a) a and b are the lower and higher values of the interval for which uniform distribution is defined.
Here a= 6 and b =10
b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8
Or int x (1/4) dx = x^2/8 = 8
c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12
= 36/12 =3
Std dev = sq rt of 3 = 1.732
d) To find total area
PDF of the distribution = 1/(b-a) = 1/4, 6<x<10
Area = \int 6 to 10 of 1/4 dx
= x/4
Subtitute limits
= (10-6)/4 =1
So total area = 1
d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4
e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2
The answer is 123!
Hope this helped!
Answer: 2t + -8
Step-by-step explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is change this minus to plus a negative.
Now we can distribute or multiply this 2 times
each of the terms inside the set of parentheses.
So we get 2(t) + 2(-4) and this simplifies to 2t + -8.
2t + -8 is the same thing as 2t -8.
