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IB
Hard
Statistics
10–12
X
∼
N
(
50
,
16
)
X \sim N(50, 16)
X
∼
N
(
50
,
16
)
. What is
P
(
46
<
X
<
54
)
P(46 < X < 54)
P
(
46
<
X
<
54
)
?
X
∼
N
(
50
,
16
)
X \sim N(50, 16)
X
∼
N
(
50
,
16
)
. Qual é
P
(
46
<
X
<
54
)
P(46 < X < 54)
P
(
46
<
X
<
54
)
?
Answer options
A.
0.3413
B.
0.9544
C.
0.6827
D.
0.5
Check Answer
Solution
Step 1 of 2
1.
σ
=
4
\sigma = 4
σ
=
4
.
z
1
=
46
−
50
4
=
−
1
z_1 = \frac{46-50}{4} = -1
z
1
=
4
46
−
50
=
−
1
,
z
2
=
54
−
50
4
=
1
z_2 = \frac{54-50}{4} = 1
z
2
=
4
54
−
50
=
1
.
Next step
Show full solution