A person is randomly selected. What is the probability that the person is: a) Male?  b) Male and Color-blind?  c) Male given that the person is Color-blind?

All 400 employees at an accounting firm indicated what size of vehicle they drive: compact car, mid- size car, large car, or truck. The following table gives a two-way classification of their responses. Compact Car Mid-size Car Large Car Truck 54 48 Male Female 40 51 O b. 0.485, 0.2, 0.65, 0.5294. Management selects one employee at random. Let p₁ be the probability that the employee is a female, p2 the probability that the employee is a male and drives a mid-size car, p3 the probability that the employee is a female or drives a truck, and p4 the probability that the employee is a male knowing that the employee drives a truck. Then the P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.) O c.0.515, 0.2, 0.65, 0.5294. 80 73 O e. 0.515, 0.6675, 0.65, 0.5294. O d. 0.515, 0.2, 0.12, 0.5294. a. 0.515, 0.2, 0.65, 0.135. 20 34

Two hundred single-sport athletes were cross-classified according to gender as follows:   Swimmer Runner Cyclist Male 25 60 25 Female 20 50 20 An athlete is selected at random and is known to be a runner, what is the probability that the athlete is female? Group of answer choices 0.55 0.65 0.4545 0.25

In a survey 46,197 women were asked how many children they had. The results are as follows: Number of Children Number of Women 12,576 1 7433 2 11,296 7087 3 4 3779 1813 6 918 7 523 8 or more Total 772 46,197 (a) What is the probability that a sampled woman has five children? (b) What is the probability that a sampled woman has fewer than five children? (c) What is the probability that a woman has seven or more children? (d) Using a cutoff of 0.05, it is umusual for a woman to have no children?

A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.

Five thousand people were classified by their generation and their top pick for food cuisine. The results are provided below.   American Chinese Italian Mexican Millennials & Gen Z 300 380 220 1600 Gen X 200 250 100 450 Baby Boomer & Older 450 150 525 375   As needed, state answers to four significant figures.  If a person is randomly selected, what is the probability that the person is A member of Gen X?      A Millennial/Gen Z or had a top pick of Mexican Food?      A Baby Boomer/Older and had a top pick of Italian Food?     A Gen X given that the person picked American Food?     Picked Chinese Food given that the person is a Millennial/Gen Z?