4. Suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty- seven days and standard deviation 7.4 days. a. Find the probability that a land turtle egg will take at least eighty days to hatch. b. Find the probability that a land turtle egg will take at most fifty-five days to hatch. c. Find the probability that a land turtle egg will take between fifty and eighty-five days to hatch.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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4. Suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty-
seven days and standard deviation 7.4 days.
a. Find the probability that a land turtle egg will take at least eighty days to hatch.
b. Find the probability that a land turtle egg will take at most fifty-five days to hatch.
c. Find the probability that a land turtle egg will take between fifty and eighty-five days to hatch.
d. Find the length of time such that 85% of the land turtle eggs will have hatched by then.
e. Suppose a veterinarian becomes concerned about the health of the land turtle if it takes longer
than ninety days to hatch. What is the probability of this happening if the turtle is healthy? Is
it likely for this to happen?
f. Find and interpret the 90th percentile.
Transcribed Image Text:4. Suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty- seven days and standard deviation 7.4 days. a. Find the probability that a land turtle egg will take at least eighty days to hatch. b. Find the probability that a land turtle egg will take at most fifty-five days to hatch. c. Find the probability that a land turtle egg will take between fifty and eighty-five days to hatch. d. Find the length of time such that 85% of the land turtle eggs will have hatched by then. e. Suppose a veterinarian becomes concerned about the health of the land turtle if it takes longer than ninety days to hatch. What is the probability of this happening if the turtle is healthy? Is it likely for this to happen? f. Find and interpret the 90th percentile.
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