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X ~ N (50,12). Suppose that you form random samples of 25 from this distribution. Let X (X with a line above it) be the
X~N(50,12). Suppose that you form random samples of 25 from this distribution. Let X (X with a line above it) be the random variable of averages. LetXbe the random variable of sums.
- Sketch the distributions ofXandX (X with a line above it) on the same graph.
- Give the distribution ofX. (X with a line over it) Enter an exact number as an integer, fraction, or decimal.)
X (With a line over it) ~ N ( ____, ____)
- Sketch the graph, shade the region, label and scale the horizontal axis forX (with a line over it), and find the probability. (Round your answer to four decimal places.)
P (X < 50) = ______
- Find the30thpercentile. (Round your answer to two decimal places.)
- Sketch the graph, shade the region, label and scale the horizontal axis forX, and find the probability. (Round your answer to four decimal places.)
P(48<X<54) =______
- Sketch the graph, shade the region, label and scale the horizontal axis forX, and find the probability. (Round your answer to four decimal places.)
P(19<X<46) =
- Give the distribution ofX.
X~_____ (____, ____)
- Find the minimum value for the upper quartile forX. (Round your answer to two decimal places.)
- Sketch the graph, shade the region, label and scale the horizontal axis forX, and find the probability. (Round your answer to four decimal places.)
P(1200<X<1350)
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