X~ N(70, 11). 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. 60 65 70 75 80 85 55 60 65 70 75 80 85 X 60 65 70 75 80 85 O 55 60 65 70 75 80 85 Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X -Dv (00) n O 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.) PX < 70) = O Bart (d)
X~ N(70, 11). 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. 60 65 70 75 80 85 55 60 65 70 75 80 85 X 60 65 70 75 80 85 O 55 60 65 70 75 80 85 Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X -Dv (00) n O 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.) PX < 70) = O Bart (d)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Transcribed Image Text:X~ N(70, 11). 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.
55
60
65
70
75
80
85
O 55
60
65
70
75
80
85
O 55
60
65
70
75
80
85
55
60
65
70
75
80
85
O Part (b)
Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.)
X -n
(O-0)
O 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.)
PX< 70) =
O Part (d)
Find the 40th percentile. (Round your answer to two decimal places.)
O Part (e)
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(66 < X< 72) = |
O Part ()
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(28 <X< 66) =
O Part (g)
Give the distribution of EX.
O Part (h)
Find the minimum value for the upper quartile for EX. (Round your answer to two decimal places.)
O Part (i)
Sketch the graph, shade the region, label and scale the horizontal axis for EX, and find the probability. (Round your answer to four decimal places.)
P(1650 < EX< 1800) = |
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