A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:

X=# of patties 1 2 3

P (X) 0.40 0.50 0.10

Mean: μX =1.7

Standard deviation: σX ≈0.67

The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T

Question

Slade Rogers

Mathematics

7 April, 06:59

A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:

X=# of patties 1 2 3

P (X) 0.40 0.50 0.10

Mean: μX =1.7

Standard deviation: σX ≈0.67

The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T

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Answers (1)

Know the Answer?

Lena Yang · Answer 1

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

Step-by-step explanation:

Let's find out the mean of T (total price a randomly chosen customer pays for their burger), this way:

Mean of T = 0.4 * $ 2 + 0.5 * $ 4 + 0.1 * $ 6

Mean of T = 0.8 + 2 + 0.6

Mean of T = US$ 3.40

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40