Question: 1. A sample space contains seven simple events: E 1 , E 2 ,..., E 7 . Use the following three events A , B

1. A sample space contains seven simple events:

E₁,E₂,...,E₇. Use the following three eventsA,B, andC.

A{E1, E5, E6} B{E1, E2, E4, E7} C{E3,E5}

List the simple events in the following. (Enter your answers as a comma-separated list.)

a) Not A

2. A sample space consists of S = {E1, E2, E3, E4}

A= {E2,E4} B={E1,E4}

List the simple events in each of the following. (Enter your answers as comma-separated lists.)

a) both A and B

b) A or B or both

c) not B

3.Consider the following experiment.The grade level of a four-year high school student is recorded.Define the simple events for the experiment. (Select all that apply.)

kindergarten

1st grade

2nd grade

3rd grade

4th grade

5th grade

6th grade

7th grade

8th grade

9th grade

10th grade

11th grade

12th grade

4. Consider the following experiment.Three children are randomly selected and their gender is recorded.Define the simple events for the experiment. (Enter your answers as a comma-separated list. Enter each simple event in the format (G₁, G₂, G₃) where G_i is the gender of the ith child. Use M for male and F for female.)

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