Two fair dice are tossed, and the face on each die is observed.Use a tree diagram to find the 36 sample points contained in the sample space.Assign probabilities to the sample points in part a.Find the probability of each of the following events:A = {3 showing on each die}B = {sum of two numbers showing is 7}C = {sum of two numbers showing is even}Also, for events A, B, and C, which one is simple event, which one is compoundevent?Event D= ? , Event D and event C independent or not? Event D and event Bmutually exclusive or not?Consider event D and event C, Find the probability of each of the followingevents: ?(D ∩ ?), p(D ∪ ?), ?(?|?), ?(?/|?/), ?(?/ ∩ ?/)

Question
Asked Feb 25, 2020
16 views
  1. Two fair dice are tossed, and the face on each die is observed.

    1. Use a tree diagram to find the 36 sample points contained in the sample space.

    2. Assign probabilities to the sample points in part a.

    3. Find the probability of each of the following events:

      A = {3 showing on each die}
      B = {sum of two numbers showing is 7}
      C = {sum of two numbers showing is even}

    4. Also, for events A, B, and C, which one is simple event, which one is compound

      event?

    5. Event D= ? , Event D and event C independent or not? Event D and event B

      mutually exclusive or not?

    6. Consider event D and event C, Find the probability of each of the following

      events: ?(D ∩ ?), p(D ∪ ?), ?(?|?), ?(?/|?/), ?(?/ ∩ ?/)

check_circle

Expert Answer

Step 1

"Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved."

Step 2

(a)

The tree diagram showing the sample points are given below:

Statistics homework question answer, step 2, image 1

The sample space containing the 36 sample points when rolling two dices are,

Statistics homework question answer, step 2, image 2

Thus, the 36 sample points are stated.

Step 3

Statistics homework question answer, step 3, image 1

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: O Assignment Score: Lx Give Up? 73.2% I Resources Feedback Try Again Question 15 of 18 O Attempt 21...

A: Click to see the answer

question_answer

Q: Geometry John is playing around with probabilities and thinking about rolling a die until he gets a ...

A: Given Geometry John roll a die until he gets a 6.Probability that no six until fourth roll = (5/6)4 ...

question_answer

Q: Is there a significant relationship between time spent on Facebook and perceived loneliness? Explain...

A: Let us assume the significance level () = 0.05 Decision-based on the significance level:

question_answer

Q: Simple regression was employed to establish the effects of childhood exposure to lead. The effective...

A: The t statistic for each slope is calculated by using the formula:

question_answer

Q: Find the probability of at least 2 girls in 7 births. Assume that male and female births are equally...

A: Given: The probability of a male birth = 0.5 The probability of a female birth = 0.5 The probability...

question_answer

Q: A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans w...

A: The 95% confidence interval for the requires proportion is (0.74, 0.86). So, lower confidence limit ...

question_answer

Q: Consider two games at a village fair, A and B. Let the gain in dollars in one play of Game A be deno...

A: Click to see the answer

question_answer

Q: By means of a pilot survey, it is already known that the proportion of residents in opposition to th...

A: Formula for sample size is,

question_answer

Q: For a z-score of 2.80, what is the area beyond the z-score in the tail?

A: The given z-score is 2.80.