X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX be the random variable of sums. O Part (a) Sketch the distributions of X and X on the same graph. A

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X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX be the random variable of sums.
Part (a)
Sketch the distributions of X and X on the same graph.
55
60
65
70
75
80
85
55
60
65
70
75
80
85
X
55
60
65
70
75
80
85
55
60
65
70
75
80
85
Part (b)
Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.)
Part (c)
Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.)
P(X< 70) =
Transcribed Image Text:X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX be the random variable of sums. Part (a) Sketch the distributions of X and X on the same graph. 55 60 65 70 75 80 85 55 60 65 70 75 80 85 X 55 60 65 70 75 80 85 55 60 65 70 75 80 85 Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) Part (c) Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X< 70) =
Expert Solution
Step 1

a)

Given that X~N(70,12).

μx¯=μ=70σx¯=σn=1225=2.4

Statistics homework question answer, step 1, image 1

Hence, the correct option is 4th option.

 

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