int production can be represented as an integer uniform variable with the ranges provided in the following table. $($Use at least $1,000$ trials.

$($a$)$ Consider the points scored by the Iowa Wolves team. $($Round your answers to two decimal places.$)$

What is the average of points scored?

$]$

What is the standard deviation?

$]$

What is the shape of the distribution?

uniform

Obell$-$shaped

skewed left

skewed right

$($b$)$ Consider the points scored by the Maine Red Claws. $($Round your answers to two decimal places.$)$

What is the average of points scored?

$[$

What is the standard deviation?

$\sqrt[\phantom{2}]{7}$

What is the shape of the distribution?

uniform

bell$-$shaped

skewed left

$$ skewed right

$($c$)$ Let Point Differential $=$ Iowa Wolves points $-$ Maine Red Claw points. $($Round your answers to two decimal places.$)$

What is the average point differential between the Iowa Wolves and Maine Red Claws?What is the standard deviation in the point differential?

$14\mathrm{.}66$

What is the shape of the point differential distribution?

uniform

bell$-$shaped

$($C$)$ skewed left

skewed right

$($d$)$ What is the probability that the Iowa Wolves scores more points than the Maine Red Claws? $($Round your answer to three decimal places.$)$ risky strategy is $0,25.$ How does the new strategy affect the average and standard deviation of the Wolves point total? $($Round your answers to two decimal places.$)$

average points

standard deviation points

What is the new probability of the Iowa Wolves scoring more points than the Maine Red Claws? $($Round your answer to three decimal places.$)$

$$