Give 5 problems of Binomial distribution and geometric distribution

Q: 8. Find the binomial distribution whose : (i) mean is 4 and variance is 3

A: Step 1Step 2 Step 3 Step 4

Q: What might be a set of numbers we expect to be normally distributed?

A: Introduction: A normally distributed random variable has a symmetric, bell-shaped distribution,…

Q: In Binomial Distribution, If q=60% and n=12, then the mean is 0.72. (True or False)

A: Solution: From the given information, q=0.60 and n=12.

Q: Derive mean and variance of gamma distribution.

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Q: Check the property of biasdness for the distribution of binomial

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Q: Why is the Method of Moments estimator, in mathematical statistics, consistent?

A: Given that:  Method of Moments estimator, in mathematical statistics:

Q: Find mode of Poisson distribution.

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Q: If n is multiplied by the factor k in the binomial distribution having the parameters n and p, what…

A: In question, Given that n is multiplied by the factor k in the binomial distribution having the…

Q: Example 8-15. Determine the binomial distribution for which the mean is 4 and variance 3 and find…

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Q: Find the тean and variance of exponential distribution by direct method.

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Q: Suppose Y follows binomial distribution with mean =10 and variance of 7, what is the value of the…

A: We have to find out probabiity of success..

Q: The area of the rectangle depicting a uniform distribution is always equal to the mean of the…

A: The area of rectangle depicting a uniform distribution is not always mean of the distribution.

Q: QUESTION 11 The mean and median of the uniform distribution are always equal. True O False

A: Let the Uniform distribution defined on (a,b)

Q: For a binomial experiment with r successes out of n trials, what value do we use as a point estimate…

A: In binomial distribution P is probability of success and n is number of trials.  Let  random…

Q: Give conditional variance.

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Q: If we toss both fair five-sided dice simultaneously and denote Y as the summation of the two dice.…

A: Here the die is five-sided. It two dice are tossed simultaneously and the sum is noted. Y is the…

Q: Formulate The binomial distribution has a mean of?

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Q: What are the requirements needed to be a binomial distribution?

A: To find: What are the requirements needed to be a binomial distribution?

Q: If the variance of the discrete random variable X = 36

A: Variance is 36

Q: If for a distribution, Mean> Median > Mode, then the distribution is negatively skewed. O True False

A: In negatively skewed distribution, more values are concentrated on the right side of the graph and…

Q: 1 example solution of mean and variance using Negative Binomial Distribution.

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Q: Q4 The weight of McMaster students is Gaussian distributed with mean 86kg and standard deviation…

A: Given that: Mean = 86 kg S. D = 8 kg By using standard normal distribution z score...

Q: What is the mean of the geometric distribution given by

A: It is given that, X is a geometric variate with its pmf, P(x)=3-x = P(x)=(1/3)x ; x=0,1,2,.... We…

Q: Why the condition of independent events is necessary to derive the formulas for the binomial and…

A: Why the condition of independent events is necessary to derive the formulas for the binomial and…

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: QUESTION: Investigate and explain about t- distribution and then provide 2 examples and solve it by…

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Q: What is the median of a continuous random variable? What is the median of an exponential…

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Q: 7- For binomial distribution variance is less than mean. O True O False

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Q: The t- distribution gets closer and closer to the z-distribution as what happens to the degree of…

A: The density curves of the t distribution are similar in shape to the normal distribution curve.

Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: Suppose that 70% of civil servants in South Africa are trade union members. Using the binomial…

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Q: The binomial distribution is used to model the number of trials until the first success   True…

A: We have given statement is  The binomial distribution is used to model the number of trials until…

Q: Given that A and B are independent events, show that A and B are also independent events.

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Q: Suppose Y follows binomial with mean = 20 and variance =7, what is the values of the probability of…

A: Y~Binomial(n,p) Given , E(Y) = 20, Var(Y)=7 E(Y) = np 20=np n=20p Var(Y) = npq 7=npq Put n=20p  in…

Q: How do you do a binomial distribution?

A: Binomial Distribution: The Binomial distribution is useful if the experiment has two outcomes…

Q: The variance of a probability distribution is its second moment about the mean. True or False

A: Given statement: The variance of a probability distribution is its second moment about the mean.

Q: Is the probability for my standardized range really the same as for my original distribution? How…

A: introduction the above question is about probability  We have to explain is the probability for…

Q: How to find the mean of the random variable x

A: The mean of the random variable x will depend on the distribution of x. Every distribution has its…

Q: Weekly Wages less than (Rs.) : 20 40 60 80 100 No. of workers 41 92 156 194 201 For the data given…

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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: ive 5 problems of poisson Distribution

A: Let X ~Poi( λ) The probability formula is : , λ is the average 1) The average number of customers…

Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

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Q: 19. Find the characteristic function of binomial distribution.

A: Given that ;  A binomial distribution probability mass function.  By using this we calculate the…