Question

The age of children in kindergarten on the first day of school
is uniformly distributed between 4.91 and 5.97 years old. A first
time kindergarten child is selected at random. Round answers to 4
decimal places if possible.

- The mean of this distribution is _______
- The standard deviation is _______
- The probability that the the child will be older than 5 years old? _______
- The probability that the child will be between 5.01 and 5.51 years old is _______
- If such a child is at the 13th percentile, how old is that child? _______ years old.

Answer #1

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Suppose that the age of students at George Washington Elementary
school is uniformly distributed between 5 and 11 years old. 45
randomly selected children from the school are asked their age.
Round all answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ U(,)
Suppose that 45 children from the school are surveyed. Then the
sampling distribution is
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that the average of...

Suppose that the age of students at George Washington Elementary
school is uniformly distributed between 6 and 10 years old. 35
randomly selected children from the school are asked their age.
Round all answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ U(,)
Suppose that 35 children from the school are surveyed. Then the
sampling distribution is
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that the average of...

The heights of kindergarten children are approximately normally
distributed with the following. (Give your answers correct to four
decimal places.) μ = 50 and σ = 2.2 inches (a) If an individual
kindergarten child is selected at random, what is the probability
that he or she has a height between 47.5 and 52.5 inches? (b) A
classroom of 16 of these children is used as a sample. What is the
probability that the class mean x is between 47.5 and...

Using Excel The age of a first grader on
September 1 at Garden Elementary School is uniformly distributed
from 5.8 to 6.8 years. We randomly select one first grader from the
class.
Define the random variable. X = _________
X ~ ________
f(x) = _________
μ = _________
σ = _________
Find the probability that she is over 6.5 years old.
Find the probability that she is between four and six years
old.
Find the 70th percentile for the age...

question 7.
The ages of all kindergarten children are normally distributed
with mean 3 years and standard deviation 8 months.
If 49 kindergarten children are randomly selected, what is the
probability that their mean age will be younger than 2 years 10
months old?
Use Table A-2 and write your answer as a decimal with 4
decimal places.
Selected Answer 0.9599 was WRONG

Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 1.2 month.
13 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that one randomly selected person
learned to walk when the person was between 12 and 13.5 months...

Suppose the age that children learn to walk is normally
distributed with mean 12 months and standard deviation 1 month. 7
randomly selected people were asked what age they learned to walk.
Round all answers to 4 decimal places where possible. What is the
distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯
x ~ N( , ) What is the probability that one randomly selected
person learned to walk when...

Suppose the age that children learn to walk is normally
distributed with mean 11 months and standard deviation 1.1 month.
14 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
What is the probability that one randomly selected person
learned to walk when the person was between 9.5 and 12.5 months
old?
For the 14 people, find the probability that the average age
that they learned to walk is...

Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 2.1
month.
32 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
a. For the 32 people, find the probability that the average age
that they learned to walk is between 12.7 and 13.2 months old.
b.Find the IQR for the average first time walking age for groups
of 32 people....

Suppose that the weight of an newborn fawn is Uniformly
distributed between 2.5 and 4 kg. Suppose that a newborn fawn is
randomly selected. Round answers to 4 decimal places when possible.
a. The mean of this distribution is b. The standard deviation is c.
The probability that fawn will weigh exactly 3.7 kg is P(x = 3.7) =
d. The probability that a newborn fawn will be weigh between 2.9
and 3.5 is P(2.9 < x < 3.5) =...

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