Brienna Matson Assignment 8

Brienna Matson Seth Eikrem STAT243 Assignment 8 4-7 Pg229 #6 16 white sweaters 3 red sweaters 9 blue sweaters 7 yellow sweaters Total: 35 sweaters A.)

P(Blue) = 9/35 = .2571428571 ≈ .26 or ≈ 25%

B.)

P(Yellow or White)= P(Yellow) + P(White) = 7 + 16 = 23 35 35 35 35 35 =.6571428571 or ≈ .66 or ≈ 66%

C.)

P(Red, Blue, OR Yellow) = P(Red) + P(Blue) + P(Yellow) = 3 + 9 + 7 35 35 35 35 35 35 = 19 = .5428571429 or ≈ .54 or ≈ 54%

D.)

P(NOT WHITE) = P(Red) + P(Blue) + P(Yellow) + P(White) - P (White) 35 35 35 35 35

= 3 + 9 + 7 + 16 - 16 = 35 - 16 - 19 = .5428571429 or ≈ .54 or ≈ 54% 35 35 35 35 35 35 35 35

4-7 Pg229 #8 ROLL 2 ROLL 1 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

3

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

4

(4,1) (4,2) (4,3) (4,4) (5,5) (6,6)

5

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

6

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2), (3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(5,5),(6,6),(5,1),(5,2),(5,3),(5,4),(5,5), (5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} Sums of outcomes: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12 A.) The probability that you will roll a sum of 5 or 6 is 9/36 or ¼ or .25 or 25% Sums of outcomes: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12 B.) The probability that you will roll a sum greater than 9 is 6/36 or 1/6 or ≈ .17 or ≈ 17% Sums of outcomes: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12 C.) The probability that you will roll a sum 4 > or > 9 is 9/36 or ¼ or .25 or 25% Sums of outcomes: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12 D.) The probability that you will roll a sum divisible by 4 = P(4, 8, or 12)/36 = 9/36 = ¼ or .25 or 25% Sums of outcomes: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12 E.) The probability that you will roll a sum of 14 = 0 or 0%

F.) The probability that you will a sum of less than 13 = 1 or 100% 4-7 Pg229 #16 Product TVs Stereos

Factory X 18 6

Factory Y 32 20

Factory Z 15 13

TOTAL: 104 A.) The probability that the product was manufactured at factory X or is a stereo: P(Fact X or Stereo) = P(Fact X) + P(Stereo) - P(Fact X and Stereo) 104 104 104 = 24 + 39 - 6 = 104 104 104

63 - 6 = 57 =.5480769231 ≈ .55 or ≈ 55% 104 104 104

B.) The probability that the product was manufactured at factory Y or factory Z: P(Fact Y or Fact Z) = P(Fact Y) + P(Fact Z) = 52 + 28 = 80 104 104 104 104 104 = 1 or .0384615385 or ≈ .04 or ≈ 4% 26 C.) The probability that the product is a TV or was manufactured at factory Z: P(Fact Z or TV) = P(Fact Z) + P(TV) - P(Fact Z and TV) 104 104 104 104 = 24 + 39 - 15 = 63 - 15 = 48 = .4615384615 ≈ .46 or ≈ 46% 104 104 104 104 104 104