According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X height of the individual. Part (a) Give the distribution of X. X--Select- Part (b) Find the probability that the person is between 64 and 69 inches. Write the probability statement. ( | ]
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X height of the individual. Part (a) Give the distribution of X. X--Select- Part (b) Find the probability that the person is between 64 and 69 inches. Write the probability statement. ( | ]
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen.
Let X height of the individual.
Part (a)
Give the distribution of X.
X--Select-
Part (b)
Find the probability that the person is between 64 and 69 inches.
Write the probability statement.
( |
]<x<
What is the probability? (Round your answer to four decimal places.)
Sketch the graph.
0.15
0.10
0.05-
0.15
0.10
0.05-
0.15
0.10)
0.05-
X
55
60
65
70
75
55
60
65
70
75
0.15
0.10
0.05-
x
x
55
60
65
70
75
55
60
65
70
75
- Part (c)
Would you expect to meet many Asian adult males over 73 inches? Explain why or why not, and justify your answer numerically.
--Select--
because the probability that an Asian male is over 73 inches tall is
Part (d)
The middle 40% of heights fall between what two values?
Write the probability statement.
P(x₁<x<x2)
State the two values. (Round your answers to one decimal place.)
x₁ =
x2=
Sketch the graph.
0.15
0.10
0.05
0.15
0.10
0.05
55
60
65
70
75
0.15
0.10
0.05-
0.15
0.10
0.05
x
60
65
70
75
x
x
55
60
65
70
75
55
60
65
70
75](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92b3472e-ab59-40f2-b296-ac3727a4d9f3%2F21f9dfc0-9932-437b-b783-2344999941fa%2Ftbpj41_processed.png&w=3840&q=75)
Transcribed Image Text:According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen.
Let X height of the individual.
Part (a)
Give the distribution of X.
X--Select-
Part (b)
Find the probability that the person is between 64 and 69 inches.
Write the probability statement.
( |
]<x<
What is the probability? (Round your answer to four decimal places.)
Sketch the graph.
0.15
0.10
0.05-
0.15
0.10
0.05-
0.15
0.10)
0.05-
X
55
60
65
70
75
55
60
65
70
75
0.15
0.10
0.05-
x
x
55
60
65
70
75
55
60
65
70
75
- Part (c)
Would you expect to meet many Asian adult males over 73 inches? Explain why or why not, and justify your answer numerically.
--Select--
because the probability that an Asian male is over 73 inches tall is
Part (d)
The middle 40% of heights fall between what two values?
Write the probability statement.
P(x₁<x<x2)
State the two values. (Round your answers to one decimal place.)
x₁ =
x2=
Sketch the graph.
0.15
0.10
0.05
0.15
0.10
0.05
55
60
65
70
75
0.15
0.10
0.05-
0.15
0.10
0.05
x
60
65
70
75
x
x
55
60
65
70
75
55
60
65
70
75
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