A balanced die with six sides is rolled 60 times. For the binomial distubtion of X...

A balanced die with six sides is rolled 60 times. For the binomial distubtion of X = Numbers of 6’s, what is n, what is p, and what is q Find the mean and standard deviation of the distribution of X. What do these values tell you? If you observe X = 2, would you be skeptical that the die is balanced? Explained why, based on the mean and standard deviation of . How long would the value of X Have to be in order to prove evidence that the die is unbalanced? Hint a binomial distribution with a high number of trails approximates the normal distribution.

Expert Solution

orchestra answered 1 year ago

There is a die with two of its sides painted green. It is rolled three times....

There is a die with two of its sides painted green. It is rolled three times. What is the probability that you will get a green at least one of the three times?

A regular six-faced fair die will be rolled 144 times. Let X be the sum of...

A regular six-faced fair die will be rolled 144 times. Let X be the sum of the 144 numbers obtained. Find the approximate probability that X is between 463 and 545.

A six sided die is rolled 4 times. The number of 2's rolled is counted as...

A six sided die is rolled 4 times. The number of 2's rolled is counted as a success. Construct a probability distribution for the random variable. # of 2's P(X) Would this be considered a binomial random variable? What is the probability that you will roll a die 4 times and get a 2 only once? d) Is it unusual to get no 2s when rolling a die 4 times? Why or why not? Use probabilities to explain.

A six sided die is rolled 4 times. The number of 2's rolled is counted as...

A six sided die is rolled 4 times. The number of 2's rolled is counted as a success. Construct a probability distribution for the random variable. # of 2's P(X) Would this be considered a binomial random variable? What is the probability that you will roll a die 4 times and get a 2 only once? d Is it unusual to get no 2s when rolling a die 4 times? Why or why not? Use probabilities to explain.

Suppose a die is rolled six times and you need to find a) The probability that...

Suppose a die is rolled six times and you need to find a) The probability that at least two 4 come up b) The probability that at least five 4's come up Solve using the Binomial probability formula.

Example 4: A fair six-sided die is rolled six times. If the face numbered k is...

Example 4: A fair six-sided die is rolled six times. If the face numbered k is the outcome on roll k for k = 1, 2, 3, 4, 5, 6 we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure. The outcome space is O = {success, failure}. Let event A = {success}. Which value has P(A)? **This question has...

A die is rolled 60 times with the following results for the outcomes 1, 2, 3,...

A die is rolled 60 times with the following results for the outcomes 1, 2, 3, 4, 5, and 6, respectively: 13, 7, 6, 11, 10, and 13. Specify the null and alternative hypotheses. Use Minitab to perform the analysis. What is the conclusion? Show how to obtain by hand the found in the Minitab output. Demonstrate how to find the bounds on the p-value using a table

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.

Suppose a red six-sided die, a blue six-sided die, and a yellow six-sided die are rolled....

Suppose a red six-sided die, a blue six-sided die, and a yellow six-sided die are rolled. Let - X1 be the random variable which is 1 if the numbers rolled on the blue die and the yellow die are the same and 0 otherwise; - X2 be the random variable which is 1 if the numbers rolled on the red die and the yellow die are the same and 0 otherwise; - X3 be the random variable which is 1...

a die is rolled 6 times let X denote the number of 2's that appear on...

a die is rolled 6 times let X denote the number of 2's that appear on the die. 1. show that X is binomial. 2. what is the porbaility of getting at least one 2. 3. find the mean and the standard deviaion of X

Question

A balanced die with six sides is rolled 60 times. For the binomial distubtion of X...

Solutions

Expert Solution

Related Solutions

There is a die with two of its sides painted green. It is rolled three times....

A regular six-faced fair die will be rolled 144 times. Let X be the sum of...

A six sided die is rolled 4 times. The number of 2's rolled is counted as...

A six sided die is rolled 4 times. The number of 2's rolled is counted as...

Suppose a die is rolled six times and you need to find a) The probability that...

Example 4: A fair six-sided die is rolled six times. If the face numbered k is...

A die is rolled 60 times with the following results for the outcomes 1, 2, 3,...

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

Suppose a red six-sided die, a blue six-sided die, and a yellow six-sided die are rolled....

a die is rolled 6 times let X denote the number of 2's that appear on...