Suppose the data below represent, in thousands, the type of health insurance coverage of people by age. Determine P(<18 years old) and P(<18 years old | no health insurance). Are the events "< 18 years old" and "no health insurance" independent? Age 18-44 73,121 > 64 22,636 Total 191,995 <18 45-64 41,297 54,941 Private health insurance Government health 21,792 14,451 14,998 31,177 82,418 insurance 45,870 320,283 554 No health Insurance Total 7,769 70,858. 25,436 113,008 12,111 82,050 54,367 P(< 18 years old) =| (Round to three decimal places as needed.)

Define Conditional variance?

10. A sample of cars was studied. In the sample, 26 white cars were observed, 23 black, 19 grey and 13 silver. What is the probability a car in the study was black?

Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 5 passengers per minute. 1. What is the probability of 2 arrivals in a 1-minute period? 2. What is the probability of no arrivals in a 1-minute period? 3. What is the probability of one arrival in a 1-minute period? 4. What is the probability of at most one arrival in a 1-minute period?

Match the sample space for compound events based on a psychology study. The first card shown is a person or an object. The second 1. card shown is red, green, or blue. sample space of size 10 The first card shown is a person or an object. The second 2. sample space of size 4 card shown is red, green, black, or blue. The first card shown is red or green. The second card shown 3. is a person or an object. sample space of size 8 The first card shown is red, green, black, blue, or yellow. The 4. second card shown is a person or an object. sample space of size 6

the sample space listing the eight sample events that are possible when a couple has a 3 children is?

A manufacturing plant knows that in reality 80% of products made are perfect. An inspector selects four products at random. What is the mean number of perfect products in any sample of 4? It can be assumed that each product is independent of the others.