Question

1. Construct a Box Plot for the given data: 20, 32, 55, 88, 38, 98, 42,...

1. Construct a Box Plot for the given data: 20, 32, 55, 88, 38, 98, 42, 46, 32, 21, 18, 20

2. Two dice are rolled. Find the probability of getting:

  1. A sum of 8, or 9, or 10
  2. Doubles or a sum of 7
  3. A sum greater than 9 or less than 4
  4. Based on the answers above, which is least likely to occur?

Homework Answers

Answer #1

The box plot of the data is :

2.

The probability of getting a sum of 8 or 9 or 10

= P(sum = 8) +P(sum = 9) + P(sum = 10)

= P( { (4,4),(3,5),(5,3),(2,6),(6,2) } ) + P( { ((3,6),(6,3),(4,5),(5,4) } ) + P( { ((5,5),(4,6),(6,4) } )

The probability of getting doubles or a sum of 7

= P(getting doubles) + P(sum = 7)

= P({(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} + P({(3,4),(4,3),(5,2),(2,5),(6,1),(1,6)})

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