Answer:
12.
Step-by-step explanation:
To find the mean of a group of data, you add up all of the numbers and divide the total by the amount of numbers there are. In this case, you have 15,11,10,11,14,10,15,10,and 12.
All of those numbers added together is 108.
108 divided by 9 numbers, or weeks, is 12.
The average, or mean, is 12.
Answer:
m=-14 I hope this helps u
Step-by-step explanation:
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
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❖ To find the mean, add up all the numbers and divide by the amount of numbers there are. To find the range, subtract the highest number by the lowest number in the data set.
2. Mean = 35 Range = 78
3. Mean = 43 Range = 58
4. Mean = 63 Range = 73
5. Mean = 61 Range = 56
6. Mean = 55 Range = 83
7. Mean = 61 Range = 53
8. Mean = 60 Range = 75
9. Mean = 50 Range = 76
10. Mean = 50 Range = 81
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