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A marketing survey of 2000 randomly-selected convenience store customers found that 1415 of them bought a glazed donut yesterday. 1605 said they bought a frosted crème-filled donut yesterday. 180 customers said they bought neither yesterday.

**a. What is the probability that a single randomly-selected customer bought only a frosted crème-filled donut yesterday?**

*Enter answer rounded to the nearest thousandth (3 places after decimal).*

**b. For the Venn diagram above, let G = {customers who bought a glazed donut yesterday} and C = {customers who bought a frosted crème-filled donut yesterday}. Determine the number of attendees belonging to each of the diagram's regions I, II, III, IV in this order.**

30,40,50,60 12,88,123,649

c.If the probability distribution for the random variable *X* is given in the table, what is the expected value of *X*?

Enter answer - with its sign - rounded to nearest hundredth (2 places after decimal)

*x*_{i }-30 10 20 60

*p*_{i }0.40 0.30 0.20 0.10

*E(x) =*

#### Top Answer

a) P(Customer bought only a frosted crème-filled donut) = 0.2025 b) Venn diagram above:... View the full answer

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(a) The probability that a single randomly-selected customer bought... View the full answer