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 μ = 18 and (A) σ = 3 (B) σ = 6 Graph both in the same viewing window with Xmin = 0 , X max = 40 , Y min = 0 , and Y max = 0.2
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 μ = 18 and (A) σ = 3 (B) σ = 6 Graph both in the same viewing window with Xmin = 0 , X max = 40 , Y min = 0 , and Y max = 0.2
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
μ
=
18
and
(A)
σ
=
3
(B)
σ
=
6
Graph both in the same viewing window with
Xmin
=
0
,
X
max
=
40
,
Y
min
=
0
,
and Y
max
=
0.2
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.
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