Answer:1/36
Step-by-step explanation:
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 61 63 64 65 66 <=only 1 with 2 sixes
Check the picture below.
the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely
Answer:
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
A fraction is a way to describe a part of a whole. A fraction can be a proper fraction, an improper fraction, or a mixed fraction.
<h3>What is a Fraction?</h3>
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
A fraction consists of two whole numbers, a number that is above the fraction line which is the Dividend, while the number that is below the fraction line is known as the denominator and is the divisor. The result or the answer which we get when we solve the fraction is the factor or can be said, it is the quotient of the operation.
Suppose there is a fraction, a/b which is equal to c, then,
a is the dividend, b is the divisor, and c is the quotient.
Learn more about Fraction:
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