The random sample X1, X2, ..., X60 is obtained from a random variable X with Hx = 5.7 and ox = 2.3. a. Based on the approximate distribution of y (noting n>30), determine the probability that x is less than 5.6? (Give your answer to 4 decimal places) 6. The random sample X1, X2, ..., X27 is obtained from an experiment in which the distribution is believed to be normal. The average of the Xj is found to be 8.2 and the average of the X;2 is found to be 92.35. Determine the value of the unbiased estimator of the variance. (Give your answer to two decimal places)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The random sample X1, X2, .., X60 is obtained from a random variable X with µx = 5.7 and ox = 2.3.
Based on the approximate distribution of y (noting n>30), determine the probability that y is less than 5.6?
(Give your answer to 4 decimal places)
b:
6.
The random sample X1, X2, .., X27 is obtained from an experiment in which the distribution is believed to be normal. The average of the X¡ is found to be 8.2 and the
average of the X;2 is found to be 92.35.
Determine the value of the unbiased estimator of the variance.
(Give your answer to two decimal places)
Transcribed Image Text:The random sample X1, X2, .., X60 is obtained from a random variable X with µx = 5.7 and ox = 2.3. Based on the approximate distribution of y (noting n>30), determine the probability that y is less than 5.6? (Give your answer to 4 decimal places) b: 6. The random sample X1, X2, .., X27 is obtained from an experiment in which the distribution is believed to be normal. The average of the X¡ is found to be 8.2 and the average of the X;2 is found to be 92.35. Determine the value of the unbiased estimator of the variance. (Give your answer to two decimal places)
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