Homework Answers
Answer: 14
>> For a uniform random variable with the parameters (a, b), the value of the mean is (a + b)/2. Where, a is the minimum value and b is the maximum value of the random variable.
Thus, the mean is (a + b)/2 = (1 + 27)/2 = 14.
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Suppose x is a uniform random variable with a = 1 and b = 27. Find...
Provide an appropriate response. Suppose x is a uniform random variable with a = 10 and...
Provide an appropriate response. Suppose x is a uniform random variable with a = 10 and b - 90. Find the probability that a randomly selected observation is between 13 and 85, O 0.10 O 0.90 0.8 0.5 Provide an appropriate response. Suppose x is a uniform random variable with a = 10 and b - 90. Find the probability that a randomly selected observation is between 13 and 85, O 0.10 O 0.90 0.8 0.5
Central limit theorem 9. Suppose that a random variable X has a continuous uniform distribution fx(3)...
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.
10. Suppose that a random variable X has the uniform distribution on the interval [-2,8). Find...
10. Suppose that a random variable X has the uniform distribution on the interval [-2,8). Find the pdf of X and the value of P(O<X<7).
b) et X be uniform [O, 1] and let Y be an independent random variable uniform...
b) et X be uniform [O, 1] and let Y be an independent random variable uniform on [O, 2]. Find the density of W = log(X) and identi fy the distrib
Suppose that a random variable X is continuously uniform between the values of 4 and 15....
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....
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.
6: Suppose the random variable X has the uniform distribution on [a,b]. Find expression involving a...
6: Suppose the random variable X has the uniform distribution on [a,b]. Find expression involving a and b for the expected value, variance, and standard deviation of X. Check that you expressions when a = 0 and b = 10 agree with what you got in part c) of problem 5.
Suppose that a random variable X is continuously uniform between the values of 4 and 9....
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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.
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Provide an appropriate response. Suppose x is a uniform random variable with a = 10 and b - 90. Find the probability that a randomly selected observation is between 13 and 85, O 0.10 O 0.90 0.8 0.5 Provide an appropriate response. Suppose x is a uniform random variable with a = 10 and b - 90. Find the probability that a randomly selected observation is between 13 and 85, O 0.10 O 0.90 0.8 0.5
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.
10. Suppose that a random variable X has the uniform distribution on the interval [-2,8). Find the pdf of X and the value of P(O<X<7).
b) et X be uniform [O, 1] and let Y be an independent random variable uniform on [O, 2]. Find the density of W = log(X) and identi fy the distrib
6: Suppose the random variable X has the uniform distribution on [a,b]. Find expression involving a and b for the expected value, variance, and standard deviation of X. Check that you expressions when a = 0 and b = 10 agree with what you got in part c) of problem 5.
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
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