Find the mean and variance from the m. g.f.of binomial distribution.

Q: If n = 15 and p = .4, then the standard deviation of the binomial distribution is

A: Obtain the standard deviation of the binomial distribution. The standard deviation of the binomial…

Q: Suppose that a variable of a population has a reverse-J-shaped distribution and that two simple…

A: Given variable of a population has a reverse J- shaped distribution. Any sample distribution will be…

Q: What is the scale for the z-distribution?

A:

Q: b. determine the mode of the distribution.

A:

Q: If   n =41  and    p=0.6  then the variance of the binomial distribution is

A: X~B(n,p)P(X=x)=nxpx(1-p)n-x                     x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: For a binomial distribution, mean = 4 and variance 4/3. Then the value of p is

A: For a binomial distribution ,                                            Mean       = n×p…

Q: Find variance of standard deviation 278

A: GivenStandard deviation(σ) = 278

Q: The standard deviation of a binomial distribution is 4, then the variance of the distribution is а.…

A: We know that, Variance=(standard deviation)2 Here standard deviations =4

Q: Find the mean and standard deviation of the sampling distribution of x

A: Given that sample size is n = 36 Mean = 71 And SD = 24

Q: Derive the mean and variance of the t distribution.

A: Given that We have to derive the mean and variance of t distribution:

Q: Find the variance of the binomial distribution for which n= 900 and p 0.89. I

A: Given that the parameters of binomial distribution are n = 900, p = 0.89

Q: For the above distribution (-1,0,1), what is the sample variance?

A: Use the given data to form the excel table:

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: The given information is that the scores distributed normally with mean 3 and variance is 49. The…

Q: Please calculate the variances, Var(X) and Var(Y), and the corresponding standard deviations for the…

A: …

Q: Sketch the normal distribution with a. µ = 3 and σ = 3.b. µ = 1 and σ = 3.c. µ = 3 and σ = 1.

A: a.The normal distribution with  is,

Q: Suppose that a variable of a population has a bell-shaped distribution. If you take a large simple…

A: From the given question,

Q: in a normal distribution with mean 3 and variance 49 What are the upper and lower scores for the…

A: We have given that a normal distribution with mean 3 and variance 49.

Q: Find the mean, variance and standard deviation for the probability distribution given below:

A: Mean is the average value of the given observation. It is based on the all observation Standard…

Q: Calculate the variance and standard deviation. x: 0, 1, 2, 3, 4 P(x): .4, .1, .1, .1, .3

A:

Q: Derive the variance of the Student's t distribution.

A:

Q: In a positively skewed distribution, the mean is larger than the median and the median is larger…

A: We know that of the three statistics, the mean is the largest, while the mode is the smallest.  If…

Q: The following table lists the probability distribution of the number of student taken course per…

A: We will use following formulae :  Mean :   μ = ∑ xP(x) Variance :  σ2 = ∑(x-μ)2P(x)

Q: Determine the Variance and Standard Deviation of each random varlable. Write your answer in your…

A: Given that

Q: In a left-skewed distribution, is median higher than mode? (A) True B False

A: Type of skewness:   Symmetric:   If the distribution is said to be symmetric then…

Q: For a normal distribution, the mode represents the second quartile. True/False

A: Given that  We want to tell the a normal distribution, the mode represents the second quartile

Q: If you observe the values of a normally distributed variable for a sample, a normal probability plot…

A: Requirement of normal distribution:If the plot is roughly linear then the variable is approximately…

Q: For the distribution (-1,0,1), what is the sample variance?

A:

Q: makes a distribution a normal distribution?

A: Properties of normal distribution  a) The mean , median and mode of a distribution is same it is…

Q: If the mean and variance of a binomial distribution with parameters (n,p) are 40 and 30…

A:

Q: Which is correct for a distribution that is skewed to the left?

A:

Q: The Mean for a Binomial Distribution is A. p В. q С. пр D. npq

A: X ~ B (n, p) P(X=x) = Cxn px(1-p)n-x  ; x=0,1....n                              0≤p≤1 ,  q=1-p n -…

Q: If n=10 and p=0.8, then the standard deviation of the binomial distribution is

A: We have given that,  Let x be the random variable with n = 10 and P = 0.8 from the binomial…

Q: Sketch the normal distribution with a. μ = 3 and σ = 3. b. μ = 1 and σ = 3. c. μ = 3 and σ = 1.

A:

Q: Add 7 to every output x. What happens to the mean and the variance? What are the new sample mean,…

A: Mean is one of the measures of central tendency and it tells about the middle part of the…

Q: Find the mean and variance from the m. g. f.of binomial distribution.

A:

Q: Which is a negatively skewed distribution?

A:

Q: Sketch the normal distribution with a. μ = −2 and σ = 2. b. μ = −2 and σ = 1/2. c. μ = 0 and σ = 2.

A: a. Sketch for the normal distribution with mean –2 and standard deviation 2 is as follows:

Q: Could this curve represent a normal distribution?

A:

Q: For a right skewed distribution, median = mode . True/false

A: In this case, we need to check whether the given statement is true or false.

Q: Find the missing values in the analysis of variance table shown below. Estimate the p-value.

A: The given details is one way ANOVA.

Q: The county highway department recorded the following probabilities for the number of accidents per…

A: Mean: The mean is the sum of observations divided by the number of observations. that is,…

Q: Find the variance for the values of n and p when the conditions for the binomial distribution are…

A: Conditions for the binomial distribution  The trails are independent. The experiment is performed a…

Q: If ‘m’ is the mean of a Poisson Distribution, then variance is given by _________

A: Given  that  Mean = m X~poisson (m)

Q: If n = 20 and p = 0.90, then the standard deviation of the binomial distribution is

A: Given: n= 20 p=0.90

Q: In a skewed distribution, which two metrics are the farthest apart? It depends on whether there is a…

A: Skewness is determined by mean, median and mode. The data set is said to be left skewed when the…

Q: If l is the mean of a Poisson Distribution, the Variance is given by O a. Ob. Oc.

A: We have to find variance of poissiion distribution

Q: You can tell if a distribution is normal because it is Approximately bell-shaped and symmetrical…

A: We have given that the statement about to the normal distribution. Here, need to find out the…

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.