The random variable X has a binomial distribution b(11, p). If P(X = 8) = P(X = 7), find the value of p. Then, determine its variance. Pembolehubah rawak X тетрипуai taburan binomial b(11, p). Jika P(X =8)= P(X =7) cari nilai bagi n Kemudian tentukan variansmya

Q: A sample (X1, X2,..., X70) of size 70 was drawn from a population X. The mean of X is 30 and its…

A: According to the central limit theorem, when a sample a sufficiently large sample (size >= 30) is…

Q: There are four numbers in a data set. They are 3, 4, 10, and 11. a) What is the ∑∑ x2x2    b) What…

A: Number of samples (n) = 4 X X2 3 9 4 16 10 100 11 121

Q: At another park, at a random selected time, there were 80 individuals having a picnic. It was found…

A: From the provided information, Sample size (n) = 80 40% of them were fully vaccinated that is p =…

Q: 1.) enumerate the steps for a hypothesis test for a population mean when the variance is known.

A: STEPS FOR HYPOHESIS TEST FOR A POPULATION MEAN 1) State the hypothesis i.e. Null and Alternative…

Q: If the range of X is the set {0,1,2,3,4} and given that each outcomes are equally like to occur,…

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: Show that adding a constant K to a random variable increases the average by K but does not change…

A: Suppose I have  a below data For random variable X 2,5,8,4 consider k= 2 Average of 2,5,8,4 using…

Q: Determine the parameters of binomial distribution for which the mean is 5 and variance is 3…

A: given data binomial distribution mean = 5variance = 3n=? , p=?

Q: Suppose that X is a random variable with mean 30 and standard deviantion 4. Suppose Y is a random…

A: Given that  For X E(X) = 30 , Sd(X) = 4 For Y E(Y) = 50 , Sd(Y) = 8 Corr(X,Y) = 0.50

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: and second components meet specifications are 0.96 and 0.89, respectively. Let X be the number of…

A: The random variable X defines the number of components in the assembly that meet specification.

Q: Suppose that for a particular computer salesperson, the probability distribution of x = the number…

A:

Q: There are four numbers in a data set. They are 4, 6, 8, and 11. c) The formula for the sample…

A: Number of samples (n) = 4

Q: For a normally distributed random variable with mean is 44 and standard deviation is 15, Find the Z…

A: Answer: From the given data, mean (μ) = 44 Standard deviation(σ) = 15

Q: a. b. C. d. If we have a population consists of 5 people and their wights in kilograms are: 76, 58,…

A: Hint:  Population Mean Y =1N∑Yi Population Variance  σ2  = 1N∑yi-Y2 Sample mean  y =1n∑yi Sample…

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

A:

Q: Find the variance of the weight of all the beans in a box. Please provide where did you get the…

A: Farmula used V(nY)=n2V(Y)

Q: 26 - Find the variance Varyansı bulunuz. Si f 2 4 4 7 6 3

A: The variance is calculated as σ2=∑f(si-s¯)∑fs¯=∑fsi∑f

Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…

A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: 8. If the probability of a detective and standard deviation for the distribution of defective bolts…

A: We have to find mean and standard deviation for given data.

Q: Example 5 Mean of a binomial distribution is 20 and the variance is 16. Calculaten, pandq

A: Given;X~binomial(n,p,q)and Mean=20  i.e.  np=20    variance=16 i.e. npq=16

Q: Suppose X is a random variable with mean 10 and variance 16. Suppose Y is a random variable with…

A: We have to find correct answer from given options..

Q: Provide an example of a random variable with variance of 0

A: Given that We have provide example of random variable with variance of 0

Q: if X is a normal random variable with mean u = 3 and variance 62 = 16, find P(X >3), P(X>-1)

A: Mean=3, variance=16

Q: Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64…

A:

Q: nt simple random samples are taken to test the difference between the means of two populations whose…

A: The t-test is used when the population standard deviation is not known, and the sample size is…

Q: An urn contains 7 black and 16 white balls. A ball is to be drawn randomly from the urn. Let X= 1 if…

A: Black balls= 7 White balls = 16 Total balls= 7+16= 23  Probability of getting black balls= 7/23…

Q: Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of…

A: The random quantity is 7X-86.

Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…

Q: if variances are unequal, which would be an alternate non-parametric test for the independent…

A: When the variances are unequal, Mann-Whitney U Test would be an alternate non-parametric test for…

Q: Th aim of a study is to test the ratio of variances in the weight of two groups of rats being under…

A: A confidence interval is an statistical concept that refers to an interval that has the property…

Q: - If the random variable X from a distribution with mean 70 and variance 9 find the mean and…

A: Given :-   EX = 70VarX = 9And ,   Y =-2X+5and , Z=X-703   we have to find EY , VarY and EZ , VarZ…

Q: Question 2: The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. Each value is…

A:

Q: Find the value of variance in the Binomial distribution where there are 5 samples and p=0.3.

A: The formula of the variance for binomial distribution is,where,n denotes the sample sizep denotes…

Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

A:

Q: To test the equality of variances, you would use a tes O chi-square O F

A:

Q: In a hypothesis test, the null hypothesis states that the population variance is equal to 25. A…

A: Given information Population variance =σ2=25, n=sample size=36, sample variance s2=30

Q: There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also…

A: Given  E(X)=mean of X=4 and E(Y)=mean of Y=4  X and Y are independent

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.