QUESTION 1

  1. There are 3 balls in a​ hat; one with the number 3 on it, one with the number 4 on it, and one with the number 7 on it.
    You pick a ball from the hat at random and then you flip a coin. Using a tree diagram​ , obtain the sample space for the experiment. List the elements that make up the sample space.
    3 H T, 4 H T 7H T3 4 7 H, 3 4 7 T3 H, 3 T, 4 H, 4 T, 7 H, 7 T3 H, 4 H, 7 H

5 points  

QUESTION 2

  1. Jim finds an irregularly shaped five-sided rock.  He labels each side and tossed the rock 100 times. The results are in the following table.
    Side            1     2    3     4      5  
    Frequency   32    18  15  13     22
    Find the emperical probability that the rock will land on side 4 if tossed again.13/1004/134/100None of the above

5 points  

QUESTION 3

  1. In a sample of 50,000 first-born babies, 5 were found to have Prader-Willi syndrome.
    Find the emperical probability that the family’s first child will be born with the syndrome .1/100005/50000.0001All of the above

5 points  

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QUESTION 4

  1. A traffic light is red for 25 seconds, yellow for 5 seconds, and green for 55 seconds.
    What is the probability that when you reach the light – the light is yellow?5/85 + 80/855/85 or 1/1780/85 or 16/17None of the above

5 points  

QUESTION 5

  1. E v a l u a t e space t h e space e x p r e s s i o n.  fraction numerator C presubscript 9 subscript 3 over denominator P presubscript 9 subscript 3 end fraction61/631/3

5 points  

QUESTION 6

  1. One person is selected at random from a class of 16 males and 15 females.  Find the odds against selecting:
    a female15:1616:1515:3116:31

5 points  

QUESTION 7

  1. Use the counting principle to obtain the answer.The frequency setting for a garage door opener is determined by the positions of nine switches, each of which can be set to a ” +​” or “-” position.In how many ways can the switches be​ set?
    5126328119,683

5 points  

QUESTION 8

  1. A number labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed.  What are the odds in favor of the cube showing a number less than 3?1:21:31:12:1

5 points  

QUESTION 9

  1. Evaluate the expression:   8!40,320856None of the above

5 points  

QUESTION 10

  1. A contractor is considering a sale that promises a profit of $40,000 with a probability of 0.7 or a loss of $5,000 with a probability of 0.3.  What is the expected profit?$31,500$28,000$26,500$35,000

5 points  

QUESTION 11

  1. Use the counting principle to obtain the answer.
    A salesman packed 3 shirts and 6 ties.  With one shirt, he could wear all 6 ties.  With another shirt, he could wear 5 ties.  With the third shirt, he could wear only 3 ties.  How many different combinations did he have?
    90141333

5 points  

QUESTION 12

  1. Evaluate 8P3.3361556None of the above

5 points  

QUESTION 13

  1. One digit from the number 5, 494, 224 is written on each of seven cards. What is the probability of drawing a card that shows 5 or 2?5/74/73/72/7

5 points  

QUESTION 14

  1. A card is picked from a deck of cards.
    Find the odds against and the odds in favor of selecting a heart.3:1 , 1:34:1 , 1:41:3 , 3:1None of the above

5 points  

QUESTION 15

  1. In July in Seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. In Seattle, in July, 75% of the days are sunny and 25% of the days are cloudy.
    a) Find the expected value of grass growth for the day  b) Find the expected value of grass growth for the month of July ( 31 days ) — round both to 2 decimal placeesa) .50 in  b)  15.5 ina) .75  in  b) 23.23 ina) .44 in  b) 13.64 inNone of the above

5 points  

QUESTION 16

  1. A couple plans to have three children.
    Find the probability that the couple has a) no boys b) at least one girl, c) either exactly 2 girls or 2 boys.
    a) 1/8  b) 1/8 c) 1/8a) 1/8 b) 7/8 c) 3/4a) 1/8  b) 1/2 c ) 3/4None of the above

5 points  

QUESTION 17

  1. Evaluate 10C3.360120720none of the above

5 points  

QUESTION 18

  1. On the lottery, where one number is chosen, determine the probability that you would win if you have a choice of 46 numbers to choose from45/461/461/2None of the above

5 points  

QUESTION 19

  1. E v a l u a t e space t h e space e x p r e s si o n.  fraction numerator C presubscript 8 subscript 4 over denominator C presubscript 8 subscript 3 end fraction3/44/55/41/4

5 points  

QUESTION 20

  1. A class consists of 24 women and 67 men. If a student is randomly​ selected, what is the probability that the student is a​woman?
    1/9167/9124/6724/91

5 points  

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