Suppose you throw two dice and take the sum as a discrete random variable. Let us assume you take a random sample of 10 observations of the sum of two dice. What would be the expected value of the average of the sample? What would be the variance of the average of the sample?

Q: Find the expected value of the above random variable.

A: The probability distribution is, Probability Scores 0.35 1 0.1 4 0.15 6 0.15 7 0.20 13…

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a peg from a…

A: Obtain the probability of his winning the prize when he has already missed 4 chances.   The…

Q: a) Suppose that you have obtained data by taking a random sample from a population. Before…

A: It is an important part of statistics. It is widely used.

Q: According to the Internal Revenue Service, 75% of all tax returns lead to a refund. A random sample…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: If a distribution has a mean of 100 and a SD of 16, then the expected value of s^2 is 256 when…

A: Here we have to check whether the given statement is true or false "If a distribution has a mean of…

Q: Find the mean of the random variable.

A:

Q: Suppose i have an unfair coin and it lands on heads 75% of the time.  If I flip this coin four times…

A: Obtain the probability of getting only 1 head.   The probability of getting only 1 head is obtained…

Q: suppose a random variable x arises from a binomial experiment. suppose n=6, and p=0.13. How do I…

A: The mean of binomial random variable is given and calculated as follows:

Q: A student has to do 100 homework problems. The time taken for each of the problems is a uniform…

A: The approximate probability that the student does not finish her homework in 420 minutes is 0.447

Q: What is a random variable?

A: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.…

Q: Explain the two different types of random variables?

A:

Q: Suppose that we did not know the probability of success but knew the sample size was 93 and that the…

A:

Q: If X is a random variable, what is the difference between a sample mean of measurements of X and the…

A: Given Information: X is a random variable. The mean of a sample is the average of the data values in…

Q: Suppose the probabilities that there will be 0,1,2, or 3 power failures in San Jose, CA in July are…

A: Solution: a. Let X be the power failure. From the given information, Then, the mean number of…

Q: What is the difference between the two types of random variables?

A: Random variables are those that assume numerical values determined by the outcome of an experiment.…

Q: A couple wishes to have children until they have exactly two female children in their family. What…

A: The couple wishes to have two girl child.So, r=2and the probablity of male child is 0.5=qSo, the…

Q: What is the probability it will take him more than 1020 shots to hit it? f. What is the expected…

A: here given ,  A novice marksman is shooting at a target 1000 feet away. The probability of his…

Q: If a condition has a 30% prevalence, what is the expected number of cases in a random sample of 200?

A:

Q: A statistic is a random variable that depends only on the observed sample. True False

A: We have  Statistic: The function of sample.  i.e a random variable which depends on the sample

Q: A racing car consumes a mean of 104 gallons of gas per race with a variance of 9.   If 50 racing…

A:

Q: We say an outcome in the support of a random variable is significant if it lies outside of A. the…

A: The result - The random variable is significant.

Q: On any given day, a salesman can earn $0 with a 20% probability, $100 with a 40% probability, or…

A: Solution: Let X be the earning of salesman.  The earning of sales person are 0 , 100 and 300 with…

Q: hat

A: To find the expected value, variance and standard deviation of tossing three coins with the number…

Q: The variance of the difference between two independent random variables is the difference in the…

A: Given the statement " The variance of the difference between two independent random variables is the…

Q: Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value…

A: From the given information, Binomial experiment with p = 0.5 and the sample size is n =100.

Q: Assume that you have a binomial experiment with p = 0.7 and a sample size of 78. The expected value…

A: Given data, p=0.7 n=78 Expected value =?

Q: Dr. Jekel mixes a potion to turn himself evil, which includes 20ml of pomegranate juice. But it is…

A: Solution: 4. Let X be the amount. From the given information, X follows normal distribution with…

Q: (d) What are the expected value and variance of the difference between the total morning waiting…

A: “Since you have posted a question with multiple sub-parts, we will solve subpart d for you as per…

Q: A multiple-choice quiz has 15 questions, each with four possible answer of which only 1 is the…

A: As per Bartleby guideline expert have to answer first question only..

Q: You have a coin that is not weighted evenly and therefore is not a fair coin. Assume the true…

A: Solution-: Given: p=0.55,n=66 We find, (a) μp^=? (b) σp^=? (c) σp^2=?

Q: Yvette, the purchasing officer of a large manufacturing company, inspects ten items selected at…

A: A lot contains 50 items of which 5 items are defective. The probability of defective item (p) = 5/50…

Q: If X is a binomial random variable that has expected value 6 and variance 2.4, then what is P(X =…

A: Solution: From the given information, X follows binomial distribution with the expected value 6 and…

Q: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautious about…

A: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautiousabout…

Q: Assume you did an experiment with 3 groups and 16 subjects per group. The sample variances in the…

A: Given Information Number of Groups = 3 Total subjects = 16 x 3 = 48 s1 = 14 s2 = 16 s3 = 18…

Q: What is the variance of the profit?

A: Here given, A contractor is considering a sale that promises a profit of ₱92 000 with a probability…

Q: 2. From historical data, it is believed that 60% of California voters favored the death penalty. A…

A: As per guidelines we will solve first question only, please repost other questions for more answers.…

Q: Scenario:Asking your classmates about their breakfast what is discrete random variable?

A: Discrete random variable taking the countable number of distinct values only like 0,1,2,3,.....etc.…

Q: The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer.…

A:

Q: What is the relationship between the joint probability and marginal probabilities of two independent…

A: The relationship between the joint probability and marginal probabilities of two independent events…

Q: Rene used a project management software package and has determined the following results for a given…

A: Here as per policy I have calculated first main question only plz repost for seconds question…

Q: If the mean of the following probability distribution is 3.44, what is the variance?

A: Given : Mean = E(X) = 3.44

Q: This is a Statistics problem.  Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the…

A:

Q: You are playing a game that has a spinner. It will either come up 1, 2, 3, or 4. They all have an…

A:

Q: The general philosophy of standardizing is that standardizing a random variable involves a.…

A: The general philosophy of standardizing is that standardizing a random variable involves -…

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: You own a company called Company X, which has monthly sales that are independent normal random…

A: Given : Expected value of total = 3μ = 3(100) = 300 Standard deviation = σ = 3(10) = 30 = 5.4772

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.