Suppose X has the uniform distribution, that is X - U( a , b ). The parameters a,b are such that a < 4 and b> 20. If P( 4
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- Suppose that X has a discrete uniform distribution { S 1/3, x = 1,2,3 f(x) : 0, otherwise A random sample of n 39 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.6. Express the final answer to four decimal places (e.g. 0.9876). The probability is i Statistical Tables and ChartsSuppose that the random variable X has the continuous uniform distribution 1,0 ≤ x ≤ 1 0, otherwise f(x) = Suppose that a random sample of n = 8 observations is selected from this distribution. What is the approximate probability distribution of X - 7? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. ✓distribution with mean = and variance =The continuous random variable X has a U (-6, 6) distribution, i.e. uniformly distributed between the points a = -6 and b = 6. What is the mean of X, and what is P (-3 < X < 1)?
- Let Z be one of the following Distributions: Bernoulli, Binomial, Geometric, Poisson. Suppose you know that Var(Z) = (k + 1)E(Z) where k is 60. Determine the distribution of Z and find its parameter(s), explaining your argument carefully.Suppose that the unknown X is uniformly distributed between 0 and 2. What is the expected value of (4X3 + 1)?Suppose that X has a discrete uniform distribution S 1/3, x = 1,2,3 0, otherwise f(x) A random sample of n = 35 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.5. Express the final answer to four decimal places (e.g. 0.9876). The probability is i
- Let X be b(2, p) (binomial distribution). Assume P(X > 1) = (a) Find p. (b) Compute P[X = 2]. %3DNot sure how to answer questions C through E. Suppose that X has a (continuous) uniform distribution between 10 and 20 (a) Compute E (X). (b) Compute Var (X). (c) Compute P (X < 12). (d) Compute P (X > 12). (e) Compute P (X < 8 or X > 22).From families with three children a family is chosen at random. Let X be the number of girls in the family. Calculate and sketch the distribution function of X. Assume that in a three-child family all gender distributions are equally probable.
- let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).Suppose there is a test, φ, that yields the distribution of test outcomes for good drugs and bad drugs seen in the Figure. In this case, is it possible to create a rule for accepting and rejecting drugs that yields no Type I or Type II error? If so, be sure to show this threshold rule explicitly on the graph above. If not, explain why this is impossible.Suppose that the random variableX has the continuous uniform distribution ( 1,0 < x < 1 0, otherwise Suppose that a random sample of n = 15 observations is selected from this distribution. What is the approximate probability distribution of X-4? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. f(x) = V distribution with mean = and variance =