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What is the shape of the distribution of points scored by the Maine Red Claws?

Bell$-$shaped, symmetric hat$()$

$($c$)$ Let Point Differential $=$ Iowa Energy points $-$ Maine Red Claw points. What is the average Point Differential between the Iowa Energy and Maine Red Claws? What is the standard deviation of the Point Differential? If your answer is negative, enter a minus sign in the input box.

Round your answers to one decimal place.

Average:

Standard Deviation:

What is the shape of the Point Differential distribution?

$($d$)$ What is the probability that the Iowa Energy scores more points than the Maine Red Claws?

Round your answer to the nearest whole number. $$

$($e$)$ The coach of the Iowa Energy feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Energy player's point production increases symmetrically so that the new range is $[0,$ original upper bound $+$ original lower bound$].$ For example, Energy player $1\text{'}$s range with the risky strategy is $0,25.$ How does the new strategy affect the average and standard deviation of the Energy point total? How does that affect the probability of the Iowa Energy scoring more points than the Maine Red Claws?

Round first two numerical answers to one decimal place and the last answer to a whole percentage.

The average Iowa Energy point total is relatively unchanged at $$ points, and the standard deviation of the Iowa Energy point total $$

$$ points. The probability of the Iowa Energy scoring more points than the Maine Red Claws $$

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