Question

Question 2

Suppose that X has a discrete uniform distribution

f(x)={1/3, x=1,2,3

0, otherwise

A random sample of n=37 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4.

Express the final answer to four decimal places (e.g. 0.9876).

The probability is ???

Answer #1

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**Answer**

P(2.1<X<2.4)

= (2.1-2)/(0.8165/SQRT(37)) < X < (2.4-2)/(0.8165/SQRT(37))

= 0.74498 < X< 2.97992

p =

0.2267 |

Suppose that Upper X has a discrete uniform distribution f
left-parenthesis x right-parenthesis equals StartLayout
left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals
1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random
sample of n equals 35 is selected from this population. Find the
probability that the sample mean is greater than 2.1 but less than
2.6. Express the final answer to four decimal places (e.g. 0.9876).
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