Advanced Placement (AP), 09.02.2021 03:00 mawawakaiii

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table. A 2-column table with 5 rows. Column 1 is labeled number of tickets with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.29, 0.44, 0.19, 0.06, 0.02.

Which is the correct interpretation of the standard deviation?

The number of tickets purchased typically varies from the expected value by 0.95 tickets.
If many, many purchases are made, the expected number of tickets purchased is 2.1.
The mean number of tickets purchased typically varies from the expected value by 0.95 tickets.
The mean number of tickets purchased typically varies from the expected value by 0.89 tickets.

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The owner of a local movie theater keeps track of the number of tickets sold in each purchase and ma...