Question
In: Statistics and Probability
We’ve established that heights of 10-year-old boys vary according to a Normal distribution with μ =...
We’ve established that heights of 10-year-old boys vary according to a Normal distribution with μ = 138 cm and σ = 7 cm What proportion is less than 124 cm in height?
Solutions
Expert Solution
By the definition of probability, if n is the total number of possible outcomes of an experiment and n(E) is the number of outcomes favourable to an event E , then the probability of an event E is , P(E) = n(E) / n . It also gives us the proportion of the event E occurring, that is, the proportion of the outcomes of event E out of the total number of outcomes.
In this problem , if A be an event that the height of 10 year old boys is less than 124 cm, then the probability that the height is less than 124 cm is equal to the proportion of the heights less than 124 cm.
orchestra answered 2 years agoRelated Solutions
The heights of European 13-year-old boys can be approximated by a normal model with mean μ...
The heights of European 13-year-old boys can be approximated by
a normal model with mean μ of 64.2 inches and standard deviation σ
of 2.37 inches.
Question B1. What is the probability that a randomly selected
13-year-old boy from Europe is taller than 64.9 inches? (use 4
decimal places in your answer)
Question B2. A random sample of 4 European 13-year-old boys is
selected. What is the probability that the sample mean height x is
greater than 64.9 inches? (use...
The heights of European 13-year-old boys can be approximated by a normal model with mean μ...
The heights of European 13-year-old boys can be approximated by
a normal model with mean μ of 63.1 inches and standard deviation σ
of 2.32 inches.
Question 1. What is the probability that a randomly selected
13-year-old boy from Europe is taller than 65.7 inches? (use 4
decimal places in your answer)
Question 2. A random sample of 4 European 13-year-old boys is
selected. What is the probability that the sample mean height x is
greater than 65.7 inches? (use...
The heights of European 13-year-old boys can be approximated by a normal model with mean μ...
The heights of European 13-year-old boys can be approximated by
a normal model with mean μ of 63.1 inches and standard
deviation σ of 2.42 inches.
A) What is the probability that a randomly
selected 13-year-old boy from Europe is taller than 65.1
inches?
(use 4 decimal places in your answer)
B) A random sample of 4 European 13-year-old
boys is selected. What is the probability that the sample mean
height x is greater than 65.1 inches?
(use 4 decimal...
The heights of European 13-year-old boys can be approximated by a normal model with mean μ...
The heights of European 13-year-old boys can be approximated by
a normal model with mean μ of 63.6 inches and standard
deviation σ of 2.5 inches.
Question 1. What is the probability that a
randomly selected 13-year-old boy from Europe is taller than 65
inches?
(use 4 decimal places in your answer)
Question 2. A random sample of 4 European
13-year-old boys is selected. What is the probability that the
sample mean height x is greater than 65 inches?
(use...
Open excel In one column enter 8 heights for 10 year old boys (inches) and in...
Open excel
In one column enter 8 heights for 10 year old boys
(inches) and in the second column enter 8 weights
for 10 year old boys
(pounds). Ten
year old boys height ranges from 42 inches to 62
inches while the weight ranges from 60 to 90 pounds. You
can make these up as long as they are reasonable if you do not have
access to any data. We want to see if there is a correlation.
Move your mouse...
Open excel In one column enter 8 heights for 10 year old boys (inches) and in...
Open excel In one column enter 8 heights for 10 year old boys
(inches) and in the second column enter 8 weights for 10 year old
boys (pounds). Ten year old boys height ranges from 42 inches to 62
inches while the weight ranges from 60 to 90 pounds. You can make
these up as long as they are reasonable if you do not have access
to any data. We want to see if there is a correlation. Move your...
The weights of newborn children in the United States vary according to the Normal distribution with...
The weights of newborn children in the United States vary
according to the Normal distribution with mean 7.5 pounds and
standard deviation 1.25 pounds. The government classifies a newborn
as having low birth weight if the weight is less than 5.5 pounds. A
study of learning in early childhood chooses an SRS of 3
children.
1. Is it okay to use normal calculations for this problem?
Explain
2. Describe the sampling distribution.
3. What is the probability that the mean...
The weights of newborn children in the U.S. vary according to the normal distribution with mean...
The weights of newborn children in the U.S. vary according to
the normal distribution with mean 7.5 pounds and standard deviation
1.25 pounds. The government classifies a newborn as having low
birth weight if the weight is less than 5.5 pounds.
a) You choose 3 babies at random. What is the probability that
their average birth weight is less than 5.5 pounds?
b) What is the third quartile of the distribution?
Hi Everyone, Open excel In one column enter 8 heights for 10 year old boys (inches)...
Hi Everyone,
Open excel
In one column enter 8 heights for 10 year old boys
(inches) and in the second column enter 8 weights
for 10 year old boys
(pounds). Ten
year old boys height ranges from 42 inches to 62
inches while the weight ranges from 60 to 90 pounds. You
can make these up as long as they are reasonable if you do not have
access to any data. We want to see if there is a correlation.
Move...
The heights of 13-year-old girls are normal distribution with mean 62.6 inches and a standard deviation...
The heights of 13-year-old girls are normal distribution with
mean 62.6 inches and a standard deviation of 7.2 inches. Erin is
taller than 80% of the girls her age. How tall is Erin?
A researcher wishes to use students' IQ 's to predict their SAT.
There is a correlation of 0.82 between SAT scores and IQ scores.
The average SAT verbal score is 500, with a standard deviation of
100. The average IQ score is 100 with a standard deviation...
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