Solve all of them using R studio commands Suppose that X~Unifrom( −2,8) find: (a) The mean value and standard deviation o
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Solve all of them using R studio commands
Suppose that X~Unifrom( −2,8) find:
(a) The
(c) Find the 80th percentile of the distribution.
(d) P(1 ≤ X ≤ 3)
Given that X follows Uniform(-2, 8).
Here, min=-2, max=8.
Mean:
Standard deviation:
Step by step
Solved in 2 steps with 4 images
- Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 42% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. nd the mean and the standard deviation of X of B(144, 0.42). Round off to 4 decimal places. b. Now approximate X of B(144, 0.42) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y N( C Find the probability that at most 72 favor a charter school using the normal approximation and the table. Round off to z-values up to 2 decimal places.) P(X 68) P(Y > ~ (Z >) e. Find the probability that exactly 63 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 63) P(Consider a random sample from the distribution of Binomial, Poisson, Exponential,Gamma, and normal. Let T4 =∑X /(n + 1). Find the MSE of each statistic and choose the best statistic.Let the random variable X be defined on the support set (1,2) with pdf fX(x) = (4/15)x3, Find the variance of X.
- f(x) = (2x + 1)/c, 0 ≤ x ≤ 4. Find the variance of the distribution. 438/c² 409.2/c² O 431.6/c² O 419.6/c²Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal. Let T1 = X + 4 ; T2 = (X – 1); T3 = X1+4X2 – 3X3 & T4 = E7 X; /(n + 1). Find the MSE of each statistics and choose the best statistic.The random variable X takes value O with probability, and value 1 with the remaining probability. The random variable Y takes value 100 with probability and value 101 with the remaining probability. What is the relation between the variance of X and the variance of Y? Var[X] Var[Y] "
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