Assume that women's heights are normally distributed with a mean given by μ = 62.5 in, and a standard deviation given by a = 1.9 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in.

MATLAB: An Introduction with Applications
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Find the possibility in a) and b)
K
Assume that women's heights are normally distributed with a mean given by μ = 62.5 in, and a standard deviation given by o = 1.9 in.
(a) If 1 woman is randomly selected, find the probability that her height is less than 63 in.
(b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in.
S
docx
View an example Ask my instructor
2
W
(a) The probability is approximately.
(Round to four decimal places as needed.)
S
X
3
E
D
80
F3
C
$
A GA
4
4
a
F4
R
F
olo 40
%
5
V
e
F5
T
G
(0)
6
MacBook Air
B
F6
Y
&
7
H
F7
U
N
8
J
DII
FB
1
(
9
3
DD
FO
K
O
O
V-
F10
HE
Clea
O
Transcribed Image Text:K Assume that women's heights are normally distributed with a mean given by μ = 62.5 in, and a standard deviation given by o = 1.9 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in. S docx View an example Ask my instructor 2 W (a) The probability is approximately. (Round to four decimal places as needed.) S X 3 E D 80 F3 C $ A GA 4 4 a F4 R F olo 40 % 5 V e F5 T G (0) 6 MacBook Air B F6 Y & 7 H F7 U N 8 J DII FB 1 ( 9 3 DD FO K O O V- F10 HE Clea O
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