Can you do this worksheet?

1. It is believed that 4% of children have a gene that may be linked to juvenile diabetes. Researchers at a firm would like to test new monitoring equipment for diabetes. Hoping to have 23 children with the gene for their study the researchers test 730 newborns for the presence of the gene linked to diabetes. What is the probability that they find enough subjects for their study? Round to 3 decimal places as needed.

2. Just before a referendum on a school budget a local newspaper polls 442 voters to predict whether the budget will pass. Suppose the budget has the support of 52% of the voters. What is the probability that the newspapers will lead it to predict defeat? Round to 3 decimal places as needed.

3. A new restaurant with 133 seats is being planned. Studies show that 57% of the customers demand a smoke free zone. How many sets should be in the non-smoking area to be sure?

4. Determine the period of the function. Y=8 sin (2x) Type an exact answer in terms of π .