Answer:
The answer is 15/37.
Step-by-step explanation:
There are 15 girls who like starwberry icecream, and the total of girls is 37.
So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.
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
? can be any number except for 3 or -2 as it is already used in (3,4), (-2,-5)
Answer:
D. Time; amount; $2800
I hope this is right because I was looking for the answer to the same question and this is the solution I came up with.
Step-by-step explanation:
Time is the independent variable because it is the variable that is changed.
The Amount (dollars) is the dependent variable because it is effected by the independent variable.
