Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer:
0.45, 4, 2, 1.5
Step-by-step explanation:
14/3 = 4.66667
Numbers less than 14/3 are 0.45, 4, 2, 1.5.
Hey
Question 1: For this one, we simply need to look at the "fat grams over 25" and the "Total" sections. We can see that 27 out of 50 have fat grams over 25. This written as a percentage is: 54%
Question 2: Using the same logic above we conclude the answer is 45.45%
Question 3: For this we need to look at the "total" section and the answer is 50
Question 4: We add all the "over 300" and write it as a percentage out of 50 which is 14%
Question 5: Same as #1 answer is 21%
Hope this helps
Answer:
i think its 320
Step-by-step explanation:
i looked it up
