Kentucky Fish and Wildlife claim that a new lake in a city park has fish of various sizes with a mean length of 7.5 inches and a standard deviation of 0.3 in. The distribution of the lengths of these fish is approximately normal. X -30 -20 -10 μ 10 20 3σ a. In this diagram, what size of fish corresponds to the 88th percentile? Show your work or exact calculator functions you used to find this value. Be sure to label your answer in correct units. b. Use the normal distribution (with a table or calculator) to compute the probability that a fish caught in the lake (assume randomly) is less than 7.2 inches. Justify your answer by showing your work.

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BI U Ων Αν
V V D
As
Kentucky Fish and Wildlife claim that a new lake in a city park has fish of various sizes with a mean
length of 7.5 inches and a standard deviation of 0.3 in. The distribution of the lengths of these fish is
approximately normal.
Review
A
ns: Showing
$
View
MAR
26
-30-20
Po
-10 μ 1σ
I
a. In this diagram, what size of fish corresponds to the 88th percentile? Show your work or exact
calculator functions you used to find this value. Be sure to label your answer in correct units.
%
b. Use the normal distribution (with a table or calculator) to compute the probability that a fish
caught in the lake (assume randomly) is less than 7.2 inches. Justify your answer by showing
your work.
4
20
30
2
X
MacBook Pro
♫
4.
o
v
ļ
W
D
Transcribed Image Text:ces A 9 Help BI U Ων Αν V V D As Kentucky Fish and Wildlife claim that a new lake in a city park has fish of various sizes with a mean length of 7.5 inches and a standard deviation of 0.3 in. The distribution of the lengths of these fish is approximately normal. Review A ns: Showing $ View MAR 26 -30-20 Po -10 μ 1σ I a. In this diagram, what size of fish corresponds to the 88th percentile? Show your work or exact calculator functions you used to find this value. Be sure to label your answer in correct units. % b. Use the normal distribution (with a table or calculator) to compute the probability that a fish caught in the lake (assume randomly) is less than 7.2 inches. Justify your answer by showing your work. 4 20 30 2 X MacBook Pro ♫ 4. o v ļ W D
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