Question
In: Math
Assume that women's heights are normally distributed with a mean given by μ=63.5 in, and a...
Assume that women's heights are normally distributed with a mean given by μ=63.5 in, and a standard deviation given by σ=2.1 in.
(a) If 1 woman is randomly selected, find the probability that her height is less than 64 in.
(b) If 44 women are randomly selected, find the probability that they have a mean height less than 64
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 63.5
standard deviation = 
=2.1
P(x < 64) = P(( x -
)
/ 
(64-63.5) / 2.1)
= P(z < 0.24)
Using z table
= 0.5948
b.
n = 44
= 63.5
= /
n = 2.1/
44=0.32
P(
<64 ) = P[(
-
) /
< (64-63.5) /0.32 ]
= P(z < 1.56)
=0.9406
milcah answered 6 months agoRelated Solutions
Assume that women's heights are normally distributed with a mean given by , 62.6 and a...
Assume that women's heights are normally distributed with a
mean given by , 62.6 and a standard deviation given by 2.8 . (a)
If 1 woman is randomly selected, find the probability that her
height is less than 63 in. (b) If 49 women are randomly selected,
find the probability that they have a mean height less than 63
in.
A survey found that women's heights are normally distributed with mean 63.5 in and standard deviation...
A survey found that women's heights are normally distributed
with mean 63.5 in and standard deviation 2.5 in. A branch of the
military requires women's heights to be between 58 in and 80
in.
a. Find the percentage of women meeting the height requirement.
Are many women being denied the opportunity to join this branch of
the military because they are too short or too tall?
b. If this branch of the military changes the height
requirements so that all...
A survey found that women's heights are normally distributed with mean 63.5 in. and standard deviation...
A survey found that women's heights are normally distributed
with mean
63.5
in. and standard deviation
3.1
in. The survey also found that men's heights are normally
distributed with mean
68.5
in. and standard deviation
3.4
in. Most of the live characters employed at an amusement park
have height requirements of a minimum of
55
in. and a maximum of
64
in. Complete parts (a) and (b) below.
A) The percentage of men who meet the height requirements
is?
B)...
Assume that women's heights are normally distributed with a mean given by mu=64.4 in , and...
Assume that women's heights are normally distributed with a
mean given by mu=64.4 in , and a standard deviation given by
sigma=1.8 in . Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that
her height is between 64.2 in and 65.2 in. The probability is
approximately ? . (Round to four decimal places as needed.)
b. If 14 women are randomly selected, find the probability that
they have a mean height between 64.2...
Assume that women's heights are normally distributed with a mean given by u=63.6in and a standard...
Assume that women's heights are normally distributed with a mean
given by u=63.6in and a standard deviation given by = 2.7in.
a) if 1 woman is randomly selected, find the probability that
her height is less than 64in.
b) If 50 women are randomly selected, find the probability that
they have a mean height less than 64in.
Assume that? women's heights are normally distributed with a mean given by mu equals 64.6 in?,...
Assume that? women's heights are normally distributed with a
mean given by mu equals 64.6 in?, and a standard deviation given by
sigma equals 1.9 in. ?(a) If 1 woman is randomly? selected, find
the probability that her height is less than 65 in. ?(b) If 50
women are randomly? selected, find the probability that they have a
mean height less than 65 in. ?(?a) The probability is approximately
nothing. ?(Round to four decimal places as? needed.) ?(b) The
probability...
Assume that women's heights are normally distributed with a mean given by mu equals 63.4 in,...
Assume that women's heights are normally distributed with a
mean given by mu equals 63.4 in, and a standard deviation given by
sigma equals 1.9 in.
(a) If 1 woman is randomly selected, find the probability that
her height is less than 64 in.
(b) If 31 women are randomly selected, find the probability that
they have a mean height less than 64 in.
Assume that women's heights are normally distributed with a mean given by mu equals 64.4 in...
Assume that women's heights are normally distributed with a
mean given by mu equals 64.4 in and a standard deviation given by
sigma equals 2.9 in (a) If 1 woman is randomly selected, find the
probability that her height is less than 65 in. (b) If 45 women
are randomly selected, find the probability that they have a mean
height less than 65
Assume that women's heights are normally distributed with a mean given by mu equals 62.1 in,...
Assume that women's heights are normally distributed with a
mean given by mu equals 62.1 in, and a standard deviation given by
sigma equals 2.7 in. (a) If 1 woman is randomly selected, find
the probability that her height is less than 63 in. (b) If 32
women are randomly selected, find the probability that they have a
mean height less than 63 in.
Assume that women's heights are normally distributed with a mean given by mu equals 62.2 in,...
Assume that women's heights are normally distributed with a
mean given by mu equals 62.2 in, and a standard deviation given by
sigma equals 1.9 in.
Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that
her height is between 61.9 in and 62.9 in. The probability is
approximately nothing. (Round to four decimal places as
needed.)
b. If 14 women are randomly selected, find the probability that
they have a mean height between...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- JAVASCRIPT: Please create an array of student names and another array of student grades. - Create...
- Topic - Construction: Structural, loads, tension 1.) Explain why pure tension members are the most efficient...
- Procter and Gamble (PG) paid an annual dividend of $ 1.62$1.62 in 2009. You expect PG...
- locate a recent case of online child pornography. Write a summary of the incident and describe...
- #Python 5. Write function called evaluate() that evaluates the following Python expressions or assignments as specified:...
- Suggest journal, research paper link reference. i need this as reference for writing a research with...
- Cryptography is used heavily in internet communications. True or false? Explain
ADVERTISEMENT