The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.6 ppm. 39 randomly selected large cities are studied. 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 city's waterway will have more than 9.5 ppm pollutants?
For the 39 cities, find the probability that the average amount of pollutants is more than 9.5 ppm.
For part d), is the assumption that the distribution is normal necessary? NoYes
Find the IQR for the average of 39 cities.
Q1 =
ppm
Q3 =
ppm
IQR:
ppm

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

The graph below represents the number of dolphins in a dolphin sanctuary. select all the key features of this function.

Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. what is the percentage decrease of jane’s closet space?