Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(μ = 6.05, σ2 = 0.0004).
Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(μ = 6.05, σ2 = 0.0004).
(a) Compute the probability P(X < 6.0171)
(b) A random sample of nine (9) boxes of soap is selected from the production line. Let Y equal the number of boxes that weigh less than 6.0171. What is the distribution of Y?
(c) Find the probability that at most two (2) boxes weigh less than 6.0171.
(d) Let X̅ be the sample mean of the nine boxes. Find P(X̅ ≤ 6.035).
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Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(μ = 6.05, σ2 = 0.0004).
I need the answer as fast as possible please Question.4 [16 Marks] Let X equal the...
I need the answer as fast as possible please
Question.4 [16 Marks] Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(u= 6.05, o2 = 0.0004). (a) Compute the probability P(X < 6.0171) (b) A random sample of nine (9) boxes of soap is selected from the production line. Let Y equal the number of boxes that weigh less than 6.0171. What is the distribution of Y? (e) Find the...
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and variance σ2 16. Find...
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and variance σ2 16. Find P (49 < Xs <51) and P (49< X <51) 2. Let Y = X1 + X2 + 15 be the sun! of a random sample of size 15 from the population whose + probability density function is given by 0 otherwise
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Please explain very carefully!
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I need the answer as fast as possible please
Question.4 [16 Marks] Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(u= 6.05, o2 = 0.0004). (a) Compute the probability P(X < 6.0171) (b) A random sample of nine (9) boxes of soap is selected from the production line. Let Y equal the number of boxes that weigh less than 6.0171. What is the distribution of Y? (e) Find the...
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1. Let Xi l be a random sample from a normal distribution with mean μ 50 and...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
. Let Yi, ,Ý, be a sample from N(μ, σ2) distribution, where both μ and σ2 are un known Repeat the argument that was given in class to show that is a pivot (start by representing Yj as a linear function of a N(0, 1) random variable). Use the fact that (n-pe, of freedom") to construct the confidence interval with coverage probability 95% for σ2 (you can state the answer in terms of quantiles of X2-distribution, or find their numerical...
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