Problem 8 A recreational equipment supplier finds that among orders that include tents, 40% also include sleeping mats. Only 5% of orders that do not include tents do include sleeping mats. Also, 20% of orders include tents. Determine the following probabilities: 1. The order includes sleeping mats. (0.2) ( 0.6) + (0.4) (0.95) + (0.4)(0.05) 2. The order includes a tent given it includes sleeping mats.Problem 5 Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples are as follows: Melanin Content High Low Moisture content High 13 7 Low 48 32 Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content. Determine the following probabilities: 1. P(A) 2. P(B) 3. P(A | B) 4. P(B | A)