Which discrete distribution has a difference between their means and variances equal to zero?
Q: Give 2 characteristics of the Chi-Square Distribution that are different than the normal…
A: Chi-squared distribution: The chi-squared distribution with k degrees of freedom is the sum of…
Q: From past results, a professor knows that the test scores are normally distribution with a mean 78…
A:
Q: A surfboard factory just discovered a manufacturing error that causes some of the surfboards to…
A:
Q: can you briefly help me explained what happened in this Theorem? I already know that the…
A: Given information: T is set of 20 means calculated from finding samples of size 20 from the larger…
Q: As the size of the sample increases, what happens to the shape of thesampling distribution of sample…
A: Correct option is 3rd
Q: Why do t distribution tend to be flatter and more spread out than the normal distribution is?
A: t distribution is more spread out than the normal distribution
Q: The concept of the "center" of the distribution is unique for symmetric distributions. Why might you…
A: The common center measures are mean, median, and mode. Mean can be used when the data is…
Q: The burning life (in hours) of electric lamps installed in a street of a city follows a normal…
A: Given: μ = 120 hours = 60×120 minutes=7200minutes σ2 = 54000 minutes. Formula Used: Z-score = X-μσ…
Q: Why do t distributions tend to be flatter and more spread out than the normal distribution is?
A: Formula for t score; Formula for z score; Here s shows the sample standard deviation, shows the…
Q: How can the normal distribution be used to test hypotheses about populations? Also, how might you…
A: The normal distribution can be used to test hypotheses about populations when the population is…
Q: How are the t-distributions and z-distribution related? As sample size increases, what happens to…
A: Let X be the random variable from normal distribution with mean μ and standard deviation σ with…
Q: Comment on the skewness of this distribution.
A: Boxplot: The statistical data is representing in simple way to plot the data based on the five…
Q: What are the conditions for using a normal distribution to approximate a binomial distribution?
A: In probability distribution, the binomial distribution is a discrete probability distribution with…
Q: A professor gives a test worth 100 points. The mean is 96, and the standard deviation is 4. Is it…
A: It is known that, the normal distribution is symmetric and bell shaped. When the tail of the…
Q: Computers are commonly used to randomly generate digits of telephone numbers to be called when…
A: The possible numbers for telephone number are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Given that one digit…
Q: it be appropriate to use a normal distribution to approxi- mate the binomial distribution?
A: for normal distribution to approxiamte the binomial distribution np ≥10 and n(1-p)≥10
Q: A professor gives a test worth 100 points. The mean is 95, and the standard deviation is 4. Is it…
A:
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: Can a normal distribution always be used to approximate a binomial distribution?
A: we can use normal distribution to approximate a binomial t
Q: Can we find the area of the standard normal distribution using calculators only? If yes, How?
A:
Q: random variable, x, has a normal distribution with μ = 13.6 and σ = 2.90, what is the value for x…
A: Given: μ = 13.6 and σ = 2.90,
Q: Computers are commonly used to randomly generate digits of telephone numbers to be called when…
A: No, we cannot use the methods of this section, because the distribution of randomly generated…
Q: Derive the mean and variance of Bernoulli distribution, normal distribution, and discrete uniform…
A: Answer: Bernoulli Distribution is a type of discrete probability distribution where every…
Q: If a sample is randomly collected, we can be assured that the data follows a normal distribution.…
A: We know that ; Any randomly collected data follows normal distribution if and only if data set must…
Q: how do i know what o
A: A distribution is a way in which the data is shared in a group and spread all over the area. The…
Q: normal distribution has μ = 9 and σ = 2. What is the probability of a score less than 6 from this…
A: Given : A normal distribution has μ = 9 and σ = 2
Q: What is the distribution of X? What is the distribution of -2? What is the distribution of 2? What…
A: Given that X1, X2,.........,Xn follows N(mean = 2, SD = 4), Where n is sample size = 9
Q: The rate of scores in a test is 5, which follows poisson distribution. Find the probability for…
A: GivenThe rate of scores in a test is 5λ=5Let "x" be the student's scorex~Poisson(λ=5)P(X=x)=e-λ×λxx!…
Q: True or false: As the degrees of freedom decrease, the Student's tdistribution becomes more like the…
A: As the degrees of freedom decrease, the student's t-distribution becomes more like tends to the…
Q: For the midterm scores of 250 MTH281 students last semester, the mean is reported as 62 and the…
A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
Q: It is possible to obtain a probability of .000001 under the normal curve? True or False Can you…
A: Solution: The given statement is “It is possible to obtain a probability of 0.000001 under the…
Q: Mr. Paras wants to test if students can remember better in the morning or in the afternoon. He…
A: The method to be implied here is paired or dependent sample t-test.
Q: Identify two uses of Poisson distributions.
A: Poisson Distribution is used for independent events which occur at a constant rate within a given…
Q: A professor gives a test worth 100 points. The mean is 96,and the standard deviation is 4. Is it…
A: Let the random variable X denotes the points in the test.
Q: a. Reflect how normal distribution will be useful in your field? Give an application related to…
A: Normal distribution is one of the very important tools used in statistics. It helps to determine…
Q: How do we know if a null distribution is normal? Does it have to explicitly say that the population…
A: Points on the sampling distribution of the sample mean: If the true population distribution of a…
Q: In a binomial distribution the probability of success is equal to 0.5 and the mean is equal to 10.…
A:
Q: when i can use Normal approximation of the binomial distribution ? how can i know form examples ?
A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…
Q: The mean of Binomial distribution is 3 and variance is. Find P(1 < x < 6)
A:
Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…
A: It is given that the mean is 6.5 and standard deviation is 2.
Q: For the midterm scores of 250 MTH281 students last semester, the mean is reported as 62 and the…
A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
Q: when can a normal distribution be used to approximate a binomial distribution?
A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…
Q: Explain how the F distribution is constructed by combining two chi-squared distributions. What are…
A: Consider two random variables, X and Y, such that X follows chi-squared distribution with m degrees…
Q: A professor gives a test worth 100 points. The mean is 96, and the standard deviation is 6. Is it…
A:
Q: The basic goal of inferential statistics is to use the information available in a sample to answer…
A: If X is random variable and follows normal distribution with mean mu and standard deviation sigma…
Q: The weight of a type of dog follows Normal distribution with mean of 10 pounds and standard…
A: Introduction:Denote X as the weight (pounds) of a randomly selected dog of the type.Here, μ = 10, σ…
Q: What are three advantages of using the normal distribution for statistical analyses on continuous…
A: The normal distribution is a probability function that describes how the values of a variable are…
Q: a) Briefly explain in your own words with clear examples what you understand by binomial and Poisson…
A: We will give definition and example binomial and poisson distribution with examples
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Which discrete distribution has a difference between their
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