1. Organizers of a concert are limiting tickets sales to a maximum of 444 tickets per customer. Let T be the number of tickets purchased by a random customer. Here is the probability distribution of T: T=# of tickets P(T) 1 2 3 4 0.1 0.3 0.2 0.4 Calculate the expected value of T.

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Activity 2: Practice calculating and interpreting the mean and standard deviation of a
discrete random variable.
1. Organizers of a concert are limiting tickets sales to a maximum of 444 tickets per
customer. Let T be the number of tickets purchased by a random customer. Here is
the probability distribution of T:
T=# of tickets
P(T)
Calculate the expected value of T.
2
0.3
3
0.2
4
0.1
0.4
2. Choose the best interpretation of the mean (or expected value) that you found in the
previous question.
a. Most customers will purchase 3 tickets.
b. A group of 10 customers will purchase exactly 29 tickets.
c. If we look at a large number of customers, then each customer, on average, will
have purchased about 2.9 tickets.
3. Calculate the standard deviation of T.
Round your answer to three decimal places.
Transcribed Image Text:Activity 2: Practice calculating and interpreting the mean and standard deviation of a discrete random variable. 1. Organizers of a concert are limiting tickets sales to a maximum of 444 tickets per customer. Let T be the number of tickets purchased by a random customer. Here is the probability distribution of T: T=# of tickets P(T) Calculate the expected value of T. 2 0.3 3 0.2 4 0.1 0.4 2. Choose the best interpretation of the mean (or expected value) that you found in the previous question. a. Most customers will purchase 3 tickets. b. A group of 10 customers will purchase exactly 29 tickets. c. If we look at a large number of customers, then each customer, on average, will have purchased about 2.9 tickets. 3. Calculate the standard deviation of T. Round your answer to three decimal places.
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