What is the mean and standard deviation of x

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Astronauts returning from space are susceptible to two kinds of problems: headaches and trembling. The probability distribution for x, the number of problems experienced by an astronaut is given below:

x 0 1 2
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p(x) .33 .42 .25

Generate the sampling distribution for the mean number of problems based on samples of two astronauts (15 marks)

a. What is the mean and standard deviation of x?

c. Determine whether or not x¯ is an unbiased estimator of μ

d. An ideal point estimator should be consistent. What does this mean?

Reference no: EM132581260

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