Question

Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform distribution from 1 to 53 (a spread of 52 weeks). Round answers to 4 decimal places when possible.

a The mean of this distribution is

b The standard deviation is

c The probability that a person will be born at the exact moment that week 5 begins is P(x = 5) =

d The probability that a person will be born between weeks 16 and 42 is p(16< × <42)=

e The probability that a person will be born after week 26 is P(x > 26) =

f P(x > 13 | x < 24) =

g Find the 26th percentile.

h Find the minimum for the upper quartile.

Hint:

Written Hint

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Answer #1

Births are approximately Uniformly distributed between the 52
weeks of the year. They can be said to follow a Uniform
distribution from 1 to 53 (a spread of 52 weeks). Round answers to
4 decimal places when possible.
The mean of this distribution is
The standard deviation is
The probability that a person will be born at the exact moment
that week 39 begins is P(x = 39) =
The probability that a person will be born between weeks 18...

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) =...

1. In which phase of the business cycle is the U.S. economy
currently in? ________________. How many months has the U.S.
economy been in this stage of the business cycle? ___________
months 2. How long has the current expansion/recovery lasted to
date? _________________ How does this compare to the average length
of U.S. recessions since 1854? ______________________________. 3.
What do the last four recoveries/expansions (that is, the current
recovery/expansion and the previous three recovery/expansions),
suggest about a new trend in...

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