Conduct your own experiment by rolling a standard die. (a) List the possible outcomes. (Enter your...

Conduct your own experiment by rolling a standard die.

(a) List the possible outcomes. (Enter your answers as a comma-separated list.)

(b) Perform the experiment 36 times. Make a table to record your results.

This answer has not been graded yet.

(c) Find the experimental probability for each outcome.

This answer has not been graded yet.

(d) Find the theoretical probability for each outcome. (Enter your probabilities as fractions.)

probability of rolling a 1
probability of rolling a 2
probability of rolling a 3
probability of rolling a 4
probability of rolling a 5
probability of rolling a 6

(e) Compare the experimental and theoretical probabilities. Are your results the same? Explain.

2. You are given a bag with 8 green marbles, 4 blue marbles, 14 yellow marbles, and 12 red marbles. Find the theoretical probability of each random event. (Enter your probabilities as fractions.)

(a) Drawing a green marble

(b) Drawing a red marble

(c) Drawing a marble that is not yellow

Expert Solution

orchestra answered 1 year ago

An experiment consists of rolling three fair dice --- a red die, a blue die, and...

An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely. (1) What probability should be assigned to each outcome? equation editorEquation Editor (2) What is the probability that the sum of the numbers rolled is 5? equation editorEquation Editor (3) What is the probability that the sum of the...

An experiment consists of rolling 1 red die, 1 white die, and 1 blue die and...

An experiment consists of rolling 1 red die, 1 white die, and 1 blue die and noting the result of each roll. The dice are fair, and all out comes are equally likely, What is the probability that the SUM of the results on the three dice is 7? What is the probability that the sum is an odd number? Please explain in detail.

The experiment of rolling a fair six-sided die twice and looking at the values of the...

The experiment of rolling a fair six-sided die twice and looking at the values of the faces that are facing up, has the following sample space. For example, the result (1,2) implies that the face that is up from the first die shows the value 1 and the value of the face that is up from the second die is 2. sample space of tossing 2 die A pair of dice is thrown. Let X = the number of multiples...

1. In the experiment of rolling a balanced die twice. Let X be the minimum of...

1. In the experiment of rolling a balanced die twice. Let X be the minimum of the two numbers obtained and Y be value of the first roll minus the value of the second roll. Determine the probability mass functions and cumulative distribution functions of X and Y, and sketch their graphs please also solve probability for Y

Every time you conduct a hypothesis test, there are four possible outcomes of your decision to...

Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don't reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don't reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false. Consider the following analogy: You are a juror in a murder trial. For every...

1. The experiment of rolling a fair six-sided die twice and looking at the values of...

1. The experiment of rolling a fair six-sided die twice and looking at the values of the faces that are facing up, has the following sample space. For example, the result (1,2) implies that the face that is up from the first die shows the value 1 and the value of the face that is up from the second die is 2. (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)...

An experiment consists of rolling an eight sided die and drawing a marble from a bag...

An experiment consists of rolling an eight sided die and drawing a marble from a bag containing 3 blue, 5 red, 10 green, and 1 white. Let A be rolling an even number, B be drawing a green marble, C be rolling a number less than 4, and D be drawing a red or white marble. Write out each in words and find to the best of your ability. (a) How big is the sample space and what are two...

Let X be the outcome of rolling a fair six-sided dice. The possible outcomes or X...

Let X be the outcome of rolling a fair six-sided dice. The possible outcomes or X are 1,2,3,4,5 and 6 and all are equally likely. What is the cumulative distribution function F(x)?

Take a simple experiment of rolling a pair of balanced dice. Each die has six sides,...

Take a simple experiment of rolling a pair of balanced dice. Each die has six sides, each side contains one to six spots. Let us define the random variable x to be the sum of the spots on the two dice. Display the probability mass function and the distribution function for the random variable x.

Consider the experiment of rolling a six-sided fair die. Let X denote the number of rolls...

Consider the experiment of rolling a six-sided fair die. Let X denote the number of rolls it takes to obtain the first 5, Y denote the number of rolls until the first 2, and Z denote the number of rolls until the first 4. Numerical answers are needed only for parts (a) and (b). Expressions are sufficient for parts (c), (d), and (e). a) E[X|Y = 1 or Z = 1] b) E[X|Y = 1 and Z = 2] c)...

Question