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QUESTION

# Need work A marketing survey of 2000 randomly-selected convenience store customers found that 1415 of them bought a glazed donut yesterday.

Need work

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)

xi -30 10 20 60

pi 0.40 0.30 0.20 0.10

E(x) =