Question

In: Statistics and Probability

Given a random variable X that has a t(ν) distribution, determine the value of xo such...

Given a random variable X that has a t(ν) distribution, determine the
value of xo such that P (|X | <xo)=0.025 for (i) ν = 5; (ii) (i) ν = 25; (iii)
ν = 50; (iv) ν = 100. Compare your results with the single value of x0 such that
P (|X | <x 0)=0.025 for a standard normal random variable X .

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

If X is a random variable with the given distribution, determine – without calculations! – which...
If X is a random variable with the given distribution, determine – without calculations! – which of the two probabilities is higher or if they have to be equal. Explain your answer. (a) P{−1 6 X 6 4} and P{10 6 X 6 15}, where X ∼ Uniform(−10, 20). (b) P{−1 6 X 6 4} and P{10 6 X 6 15}, where X ∼ Normal(2, 3).
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X=6), n=10 , p=0.5
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≤4), n=7, p=0.6
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X=14), n=15, p=0.7
Let T be a Kumaraswamy random variable, and X be a Weibull random variable, the T-X...
Let T be a Kumaraswamy random variable, and X be a Weibull random variable, the T-X family will be called the Kumaraswamy-Weibull distribution. Using W[F(x)]=F(x). Obtain (a) both the cdf and pdf of the Kumaraswamy-Weibull distribution. (b) both the hazard and reverse hazard function Kumaraswamy-Weibull distribution. (c) the quantile function Kumaraswamy-Weibull distribution.
Determine whether or not the random variable X is a binomial random variable. (a) X is...
Determine whether or not the random variable X is a binomial random variable. (a) X is the number of dots on the top face of a fair die (b) X is the number of hearts in a five card hand drawn (without replacement) from a well shuffled ordinary deck. (c) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective. (d) X...
4. Determine the x value if X is a normal random variable with mean 40 and...
4. Determine the x value if X is a normal random variable with mean 40 and standard deviation 6. a) ?(? > ?) = 0.5 b) ?(? > ?) = 0.28 c) ?(? < ?) = 0.82
Let X be a random variable with the following probability distribution: Value x of X P(X=x)  ...
Let X be a random variable with the following probability distribution: Value x of X P(X=x)   20   0.35 30   0.10 40   0.25 50   0.30 Find the expectation E (X) and variance Var (X) of X. (If necessary, consult a list of formulas.) E (x) = ? Var (X) = ?
Consider a random variable T that has a t-distribution with k = 16 degrees of freedom....
Consider a random variable T that has a t-distribution with k = 16 degrees of freedom. What is P(T > 1.8)? Group of answer choices 0.0454 0.9546 0.2499 0.4742 0.8000
7. Suppose that we are given that there exists a random variable X whose distribution is...
7. Suppose that we are given that there exists a random variable X whose distribution is binomial with parameters are n = 500 and p= 0.300, and here X represents the number of desired outcomes of the random experiment and n-X is the number of undesired outcomes obtained from a random experiment of n independent trials. From this random experiment   p̂ sample proportion is found as X/n. (Round your answers to 3 decimal places in all parts.) What is the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT