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 = 20 and (A) σ = 2 (B) σ = 4 Graph both in the same viewing window with Xmin = 0, Xmax = 40, Ymin = 0, and Ymax = 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 = 20 and (A) σ = 2 (B) σ = 4 Graph both in the same viewing window with Xmin = 0, Xmax = 40, Ymin = 0, and Ymax = 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
=
20
and
(A)
σ
=
2
(B)
σ
=
4
Graph both in the same viewing window with
Xmin = 0, Xmax = 40, Ymin = 0, and Ymax = 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.
A building that is 205 feet tall casts a shadow of various lengths æ as the day goes by. An angle of
elevation is formed by lines from the top and bottom of the building to the tip of the shadow, as
de
seen in the following figure. Find the rate of change of the angle of elevation when x 278 feet.
dx
Round to 3 decimal places.
Γ
X
radians per foot
Find The partial fraction decomposition for each
The
following
2×
B)
(x+3) a
3
6
X-3x+2x-6
1) Find the partial feraction decomposition for
each of
5- X
2
2x+x-1
The following:
3
B)
3
X + 3x
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