A factory received a shipment of 19 lightbulbs, and the vendor who sold the items knows there are 4 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. For each of the following, give your responses rounded to the eighth decimal. If a sample of lightbulbs is selected, find the probability that all in the sample are defective. (answer)    If a sample of 4 lightbulbs is selected, find the probability that none in the sample are defective. (answer

A group of people were asked if they had run a red light in the last year. 470 responded "yes", and 283 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

Use the following information to answer the next question. A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah. 12. Determine the probability that Sarah is selected to be on the three-person committee.

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.

A group of people were asked if they had run a red light in the last year. 189 responded "yes", and 253 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.

A box has 6 blue and 4 green jelly beans. A bag has 9 blue and 2 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)

An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white.

A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.