Suppose that a random variable X is continuously uniform between the values of 3 and 12. Find the variance of the distribution of the sample mean of a random sample of size 32. Round your answer to four decimal places.
Let X be a continuously uniform between the values of 3 and 12.
The pdf of a random variable X is:
The variance of X is given by
The variance of the sampling distribution of the sample mean of a random sample of size n=32 is given by
Suppose that a random variable X is continuously uniform between the values of 3 and 12....
Suppose that a random variable X is continuously uniform between the values of 4 and 9. Find the variance of the distribution of the sample mean of a random sample of size 37. Round your answer to four decimal places.
Suppose that a random variable X is continuously uniform between the values of 4 and 15. Find the mean of the distribution of the sample mean of a random sample of size 46. Round your answer to two decimal places.
Suppose that a random variable X is continuously uniform between the values of 5 and 11. Find the mean of the distribution of the sample mean of a random sample of size 59. Round your answer to two decimal places.
The random variable X has a uniform distribution with values between 10 and 14. What is the mean and standard deviation of X? (Round your answer to three decimal places.) Select the correct answer: mean is 12; standard deviation is 1.633 mean is 10; standard deviation is 1.333 mean is 12; standard deviation is 1.333 mean is 12; standard deviation is 1.155 mean is 10; standard deviation is 1.633 mean is 10; standard deviation is 1.155
Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r= 5, 6, 7, 8. 0, otherwise. A random sample of n = 45 is selected from this distribution. Find the probability that the sample mean is greater than 6.7. Round your answer to two decimal places (e.g. 98.76). P= the absolute tolerance is +/-0.01
The random variable X has a uniform distribution with values between 16 and 18. What is the mean and standard deviation of X? (Round your answer to three decimal places.) Select the correct answer below: mean is 16; standard deviation is 3–√3≈0.577 mean is 17; standard deviation is 3–√3≈0.577 mean is 16; standard deviation is 23≈0.667 mean is 16; standard deviation is 6–√3≈0.816 mean is 17; standard deviation is 6–√3≈0.816 mean is 17; standard deviation is 23≈0.667
Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2, 3, and 4. Then, 1) P(X = 3) = (correct to 2 decimal). 2) P(X S 3) = (correct to 2 decimal) 3) P(X > 3) = (correct to 2 decimal) 4) P(2 < X < 4) = (correct to 1 decimal) (b) Suppose Y is a random variable having Binomial distribution with parameters n = 10 and p = 0.5. Find (1) P(Y...
1. X ~ N(50, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums.Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(8 < X < 47) = 2.Some statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a...
Central limit theorem 9. Suppose that a random variable X has a continuous uniform distribution fx(3) = (1/2,4 <r <6 o elsewhere (a) Find the distribution of the sample mean of a random sample of size n = 40. (b) Calculate the probability that the sample mean is larger than 5.5.
Suppose x has a distribution with μ = 32 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 32 and σ x = 17. Yes, the x distribution is normal with mean μ x = 32 and σ x = 1.1. Yes, the x distribution...