(Answered) Please help with the following two questions with work

Statistics

Please help with the following two questions with Work shown.

1. A recent poll of voters showed that 50% of them support the mayor. What is the probability that in a random sample of 16 voters, exactly 8 of them support the mayor? Show Work

2. 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? Round answer to nearest hundredth. Show work

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