To graph Problems 59-62, use a graphing calculator and refer to the normal probability distribution function with mean µ and standard deviation σ : f x = 1 σ 2 π e − x − μ 2 / 2 σ 2 Graph equation (1) with σ = 5 and (A) μ = 8 (B) μ = 12 (C) μ = 16 Graph all three in the same viewing window with X min = − 10 , X max = 30 , Y min = 0 ,and Y max = 0.1 .
To graph Problems 59-62, use a graphing calculator and refer to the normal probability distribution function with mean µ and standard deviation σ : f x = 1 σ 2 π e − x − μ 2 / 2 σ 2 Graph equation (1) with σ = 5 and (A) μ = 8 (B) μ = 12 (C) μ = 16 Graph all three in the same viewing window with X min = − 10 , X max = 30 , Y min = 0 ,and Y max = 0.1 .
Solution Summary: The author analyzes the equation of normal distribution f(x)=1sigma.
To graph Problems 59-62, use a graphing calculator and refer to the normal probability distribution function with mean
µ
and standard deviation
σ
:
f
x
=
1
σ
2
π
e
−
x
−
μ
2
/
2
σ
2
Graph equation (1) with
σ
=
5
and
(A)
μ
=
8
(B)
μ
=
12
(C)
μ
=
16
Graph all three in the same viewing window with
X
min
=
−
10
,
X
max
=
30
,
Y
min
=
0
,and
Y
max
=
0.1
.
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
y=f'(x)
1
8
The function f is defined on the closed interval [0,8]. The graph of its derivative f' is shown above.
How many relative minima are there for f(x)?
O
2
6
4
00
60!
5!.7!.15!.33!
Use Euler's summation formula to prove that, for x > 2,
Σ
log n
n3
=
A
log x
2x2
n≤x
where A is a constant.
-
1
+0
4x2
log x
x3
"
Chapter 10 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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