Now consider the random variable that is the average number of dots after four rolls. Is this variable normally distributed? Explain.

Q: The mean and variance of a binomial distribution are 6 and 3 respectively. Find the mode of the…

A:

Q: suppose you have an experiment where you flip a coin 3 times. you then count the number of heads.…

A:

Q: For any distribution what is the score that separates the highest 10% from the rest called?

A:

Q: What is the shape of a x ^ 2 distribution?

A: If Xi’s follows standard normal distribution for all i = 1, 2, .., n, then ΣXi2 follows chi square…

Q: Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the…

A: We have given that the two dice are rolled. The total possible outcome of rolling two dice are 36.

Q: Calculate Pearson’s coefficient of skewness. Hence, describe the shape of the distribution of the…

A: Skewness of a certain frequency distribution is used to measure the amount by which it deviates from…

Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…

A: The mean is 3.1 and the standard deviation is 0.4.

Q: HW try to test the die by rolling it 10 times then get the sum of each try. Find the Mean, Variance…

A: Let x denote the number of outcomet then sum of each try,  Σx= (1+6+6+5+5+5+3+4+2+4) = 41 Mean =…

Q: (a) at least half the patients are under 15 years old? First, explain how this can be modeled as a…

A: As per our guidelines, we are allowed to answer three sub-parts.   Number of visits this morning = 8…

Q: The shape of the t- distribution becomes similar to the binomial distribution as the sample size…

A: Here Distribution of t Distribution depends upon the sample size

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

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

Q: How much money does a typical family of four spend at McDonald’s restaurants per visit? The amount…

A: Given that, The amount is a normally distributed random variable whose mean is $16.40 and whose…

Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: After peering into a wishing well, Jocelyn hypothesizes that the distribution of coins is 50%…

A: Solution Ho and Ha be the null and alternative hypothesis

Q: When the degrees of freedom is large, the t distribution becomes?

A: The shape of t distribution depends on degrees of freedom.

Q: In inferential statistics, chance means: the sampling distribution of the mean standard error O…

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Q: The mean and variance of a binomial distribution are 9 and 6 respectively. Find the value of n.…

A: Note: Please repost 2nd question as i can answer only 1 question as per my policy.   1) Given data,…

Q: Given that z is a standard normal random distribution, find z for each situation The area to the…

A: The area to the right of z is 0.1314 is obtained below:From the given information, the probability…

Q: Krista Zamurs owns the largest die manufacturer in Riga.  She carefully balanced each die so that…

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Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True…

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are…

Q: A pair of dice are rolled. Let X be a random variable that denotes the sum of the number of dots…

A: Here Given  Pair of dice are rolled  So Total Possible number of Outcome=6×6=36

Q: The normal probability distribution is applied to?

A: Normal Distribution The normal distribution is continuous probability distribution. A random…

Q: Give 1 real life situation where the concept of random variables is applicable and construct its…

A: A random variable is a variable whose values depend on outcomes of a random experiment. It is…

Q: What increases the likelihood that our a random sample will be representative of the population? O…

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Q: In which aspects of your life can you associate the ideas of discrete random variables and…

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Q: A die is tossed twice. Getting a number greater than 4' is considered a success. Find the mean and…

A: Given that  A dice tossed twice  n=2 Sample space=S={1,2,3,4,5,6} Required outcomes=(5,6) p=2/6=1/3…

Q: Find the mean of the random variable X.

A: Let X is a continuous random variable. The probability density function is given as,…

Q: The mean and variance of a binomial distribution are 8 and 4 respectively. Find the value of n.…

A: Binomial distribution allows us to compute the probability of observing a specified number of events…

Q: What is the probability of selecting a score greater than 50 from

A: Given μ= 55 and a σ=5.

Q: 2. The average number of mice in a 5-acre rice field is estimated to be 80. Find the probability…

A: Given,The average no.of mice in 5 acre field is 80so, the average no.of mice in 1 acrefield…

Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

A: Number of drivers who claim that they always buckle up, x=310. Number of drivers who were surveyed,…

Q: need to do in order to accurately a random variable with a distribution estimated from prior…

A: Note: As the student has requested Q8, answer has been provided for Q8. The Problem here is to…

Q: Let X be the Random Variable representing the number of boys in families with 3 children. Find the…

A: Solution-: Let X be the Random Variable representing the number of boys infamilies with 3 children.…

Q: For the experiment of flipping a coin three times; (i) present the discrete probability…

A: From the provided information, The total outcomes after flipping a coin three times are as follows:…

Q: Determine a probability distribution for the random variable, X, the number of credit cards issued…

A: In this problem we have to find out the probability distribution of a random variable X.

Q: According to a college survey, 22% of all students work tull time. Find the mean for the random…

A: Given n=16 P=22℅=0.22 q=1-p=1-0.22=0.78

Q: To avoid having her hours cut back at work, Bridgett must avoid performing in the lowest 40% of the…

A: Given that, Typical amount of items manufactured at Bridgett's job form a normal distribution with µ…

Q: Assume that X is a random number that follows Normal distribution with an average of 5 and variance…

A: a)    The normal probability is a type of continuous probability distribution that can take random…

Q: The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is

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Q: The mean and variance of a binomial distribution are 9 and 6 respectively. Find the value of n.

A: Solution-: Given: The mean and variance of binomial distribution are 9 and 6 respectively. i.e. We…

Q: In the binomial distribution the important point is that the two a. Events and expected b. Events…

A: Complementary events are event which cannot occur together.

Q: True or False: The diameters of 10 randomly selected bolts have a binomial distribution.

A: Introduction to binomial distribution: Consider a random experiment involving n independent…

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

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Q: The sampling distribution of the different between diastolic blood pressure readings for men and…

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Q: Two tetrahedral dice, each with faces labelled 1, 2, 3 and 4, are thrown and the random variable X…

A: Given that, Two tetrahedral dice, each with faces labelled 1, 2, 3 and 4, are thrown and the random…

Q: What is the distribution of X? What is P[X = 2]?

A: The moment generating function is defined as MX(t) = E(etx) = Σetx.P(X = x)

Q: Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record.…

A: The random variable X represents the Tax Bureau's audits due to his previous criminal record.

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.