4.2 An equipment consists of 9 components, each of which will independently fail with a probability of p. If the equipment is able to function properly when at least 6 of the components are operational, what is the probability that it is functioning properly?

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: Describe about TABLE FOR F DISTRIBUTION.

A: The F Distribution is a continuous probability distribution which is positively skewed (Right…

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

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

Q: True or False: The Chi-square distribution is normally distributed

A: Chi Square distribution : The square of the standard normal variate is known as a Chi square variate…

Q: t does a z-score of -3.8 mean

A: A z-score is known as the standard score that determines how much the data point deviates from the…

Q: What information is provided by the sign (+/–) of a z-score? What information is provided by the…

A: Let, the dataset scores have a mean µ and standard deviation σ. Then the z score of a given score ,…

Q: Differentiate between binomial, Hypergeometric distribution by giving real life example.

A:

Q: True or false The mean and variance of a Poisson distribution are same

A: Poisson distribution X~Poisson(λ)

Q: From past experience, a professor knows that the test score of a student taking her final…

A: Given that the mean is 75 and variance is 25 That is, μ=75σ=25=5

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: Derive variance for gamma distribution?

A:

Q: for binomial distribution probability of getting failure in exam =0.20 sample size is 35 students in…

A:

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

A:

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: As the value of p increases, does the mean of the binomial distribution get larger or smaller?…

A: For binomial distribution,p = probability of success q = 1-p = probability of failure n = no of…

Q: Describe one-tailed p-values.

A: The choice of a specific value of the level of significance is completely subjective and hence the…

Q: the mean only given the standard deviation? I know I can get the variance from standard deviation.…

A: The formula for calculating the  variance and standard deviation is,

Q: When can we apply chi-square distribution?

A:

Q: Use the 95% rule and the fact that the summary statistics come from a distribution that is symmetric…

A: Given, A bell-shaped distribution with mean 1500 and standard deviation 330. Empirical rule :…

Q: If there is a sample where 76 out of 100 like the product what is the zscore in other words find…

A: It is given that the sample where 76 out of 100 likes the product.

Q: What is the difference between binomial distribution and geometric distribution? When to use each?…

A: The binomial distribution is the discrete probability distribution The pmf of the binomial…

Q: How to calculate the mean and variance of Poisson distribution?

A: As we know that Poisson is a discrete Probability distribution.  If X is a random variable and it…

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: Define Inferential Statistics?

A: Inferential statistics use a random sample of data taken from a population to describe and make…

Q: What is the difference between uniform distribution and binomial distribution?

A: The two distributions which are given are Uniform distribution and Binomial distribution.

Q: If we correctly summed all deviations from the mean of a distribution (without squaring those…

A: The property of sample mean is that the sum of deviations from the mean is always a zero.

Q: 6. Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: We can determine the parameters of the gamma distribution by using the expression of mean and…

Q: Derive mean for gamma distribution?

A:

Q: Describe Simple Discrete Distributions?

A: The outcome of an set of data are distributed in two forms. They are continuous distribution and…

Q: Explain kurtosis of the distribution?

A:

Q: The choice of classes in a histogram can change how the distribution appears has no impact on the…

A: A histogram is a graphical representation of quantitative data used to classify data into grouped…

Q: Poisson distribution

A: The pmf of Poisson Distribution is given by P[X=x]=l-λλxx!;x=0,1,2..,λ>00           ; o.w

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: How can the normal distribution be used to test hypothesis about populations? Also, how might you…

A: To test a hypothesis such as caffeine improves memory in the caffeine study: In this case, two…