Probability:

Page 129 Let's Apply! Exercise 2.2 Direction: Solve the following problems. Encircle or put in a box your final answer, 1. An engineering firm is hired to determine if certain rivers in Laguna are safe for fishing Samples are taken from three rivers. a. List the elements of the sample space S, using the letters F for "safe to fish" and N for "not safe to fish." b. What is the probability that two rivers are "safe to fish"? 2. A survey was conducted to determine students' favorite brands of sneakers, Each student chose only one brand from the list of brands A, H, C D, or E. What is the probability that a student's favorite sneaker was brand D? Sneake C E Number 12 15 15 3. Consider the cross tabulation below. Have pets Do not have pets Tatal Male 0 49 Female 10 45 0:06 0 61 29 / 51 Total 0.14 What is the probability that a randomly selected person is male, given that they own a pet? b. What is the probability that a randomly selected person does not have pets, given that she is a female? 4. Find the probability of the following: a. P(2 2 1.78) b. P(Z S-0.50) C P(2 2-234) d. P(0.54 $2 5 178) 5. A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hir. What is the probability that a car picked at random is travelling at more than 100 km/hr