2021 AP Statistics Free Response #3 (First Administration)

Walkthrough of the 2021 AP Statistcs Free Free Response #3 (May 17, 2021 administration).

Corrections:
(b) I left out an interpretation of the expected value. One way to write it would be to say "An employee would receive on average 0.26 gift cards per year over a large number of years participating in this program".
(c) I should have referenced the probability of X=0 which is 0.7705, not 0.2295.

Link to College Board Release FRQ:

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[jakeshoopile]

For part (b), it says to interpret the expected value. That means you’d have to write out a sentence about the long-run average over many years right?
For part (c), I also think the probability is wrong. It should be the complement of the probability found in (a)-ii.

[akrammohmoud]

For part C, I’m pretty sure you looked at the wrong percentage. The 22.95% is the percentage that an employee receives at least one gift card.

[zeitgeist]

For 3) (a) (i)

Could I have written something to the effect of

"The random variable of interest is defined as the chance of a given employee to receive a gift card, and the aforementioned random variable is distributed via random means. Further, each employee is likely to receive a card and any given employee can receive a card more than once."?

[ellenross]

for part a (II), are you sure your binomial probability is calculated correctly....

[jacobblizard]

For part c, would it be okay if I framed response like “Agatha does not have a strong argument because the p-value of .2295 is greater than the alpha value of .05; therefore, there is no conclusive evidence that the process is not random”?

[jerrybard]

For part (c) would it have sufficed to say that the expected value was less than one so Agatha shouldn't expect to get a gift card over a single 52-week period (I used more words than this but this is just for the sake of knowing whether this route would get me marks too)

[tanisha]

How did you get 0.005 for part b?
Also, your videos are great! I watched the physics ones as well! Keep up the great work!!