When a polling organization randomly calls households for a survey, there is a 0.10 probability they are able to obtain a response. If the organization randomly calls 10 households, what is the probability they are able to obtain a response from at least 1 household?

On an airplane, 92% of people are in economy seats (also known as coach). Of the people in economy, 48% are members of the airline’s frequent flier club. If event E is being in an economy seat and event F is being a member of the airline’s frequent flier club, which of the following is true?

Suppose that a random sample of 500 cell phone users was selected and asked their age and type of cell phone. If cell phone type is independent of age, what is the value of x?

When Ann drives to school, she only passes one intersection with a stop light. Based on her previous experience, there is a 0.70 probability that the light is green or yellow (she always goes on yellow!) and the outcomes on consecutive days are independent. If she drives to school 5 days, what is the probability that the light is red on all 5 day

Suppose that a student is randomly selected. The probability that the student is a senior is 0.22. The probability that the student has a driver’s license is 0.30. If the probability that the student is a senior and has a driver’s license is 0.16, what’s the probability that the student isn’t a senior and doesn’t have a driver’s license?

In a class, there are 20 girls and 16 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are both boys?

Approximately 3.5 percent of all children born in a certain region are from multiple births (that is, twins, triplets, etc.). Of the children born in the region who are from multiple births, 22 percent are left-handed. Of the children born in the region who are from single births, 11 percent are left-handed.

What is the probability that a randomly selected child born in the region is left-handed?

Approximately 3.5 percent of all children born in a certain region are from multiple births (that is, twins, triplets, etc.). Of the children born in the region who are from multiple births, 22 percent are left-handed. Of the children born in the region who are from single births, 11 percent are left-handed.

What is the probability that a randomly selected child born in the region is a child from a multiple birth, given that the child selected is left-handed?

Approximately 3.5 percent of all children born in a certain region are from multiple births (that is, twins, triplets, etc.). Of the children born in the region who are from multiple births, 22 percent are left-handed. Of the children born in the region who are from single births, 11 percent are left-handed.

A random sample of 20 children born in the region will be selected. What is the probability that the sample will have at least 3 children who are left-handed?

Nine sales representatives, 6 men and 3 women, at a small company wanted to attend a national convention. There were only enough travel funds to send 3 people. The manager selected 3 people to attend and stated that the people were selected at random. The 3 people selected were women. There were concerns that no men were selected to attend the convention.

(a) Calculate the probability that randomly selecting 3 people from a group of 6 men and 3 women will result in selecting 3 women.

Nine sales representatives, 6 men and 3 women, at a small company wanted to attend a national convention. There were only enough travel funds to send 3 people. The manager selected 3 people to attend and stated that the people were selected at random. The 3 people selected were women. There were concerns that no men were selected to attend the convention.

(b) Based on your answer to part (a), is there reason to doubt the manager’s claim that the 3 people were selected at random?