Let X follows normal distribution with mean and variance o, find P(x-μ<20)
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Answer:
Step-by-step explanation:
(
X
>
42
)
=
0.1271
Explanation:
We must standardise the Random Variable
X
with the Standardised Normal Distribution
Z
Variable using the relationship:
Z
=
X
−
μ
σ
And we will use Normal Distribution Tables of the function:
Φ
(
z
)
=
P
(
Z
≤
z
)
And so we get:
P
(
X
>
42
)
=
P
(
Z
>
42
−
50
7
)
=
P
(
Z
>
−
8
7
)
=
P
(
Z
>
−
1.1429
)
If we look at this graphically it is the shaded part of
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