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Beth and Leslie are trying to decide which one of them gets to portray the lead character in a student play. They will use a random number generator to produce an integer. If the integer that comes up is odd, Beth gets to play the lead, and if the integer is even, Leslie gets to play the lead. Having the random integer generated be in which interval will make this a fair decision?
A) from 2 to 10 B) from 3 to 15 C) from 5 to 20 D) from 5 to 25

Respuesta :

MrRoyal

The fair interval illustrates a sample space

The interval that will make a fair decision is from 5 to 20

How to determine the fair interval?

From the question, we understand that:

  • Beth plays the lead, and if the integer is even,
  • Leslie plays the lead, if otherwise

Since they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)

The sample space (S) is calculated as:

S = Highest - Least + 1

  • A) from 2 to 10

S = 10 - 2 + 1 = 9

  • B) from 3 to 15

S = 15 - 3 + 1 = 13

  • C) from 5 to 20

S = 20 - 5 + 1 = 16

  • D) from 5 to 25

S = 25 - 5 + 1 = 21

Only 16 can be divisible by 2

Hence, the interval that will make a fair decision is from 5 to 20

Read more about sample space at:

https://brainly.com/question/10558484

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