How is the hatching of water python eggs influenced by the temperature of the snake’s nest?  Researchers assigned newly laid eggs to one of three temperatures: hot, neutral, or cold.  The hot condition duplicates the warmth provided by the mother python.  The neutral and cold conditions mimic the mother’s absence.  Here are the data on the number of eggs that hatched:   Cold Neutral Hot Total Hatched 16 38 75 129 Did not Hatch 11 18 29 58

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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How is the hatching of water python eggs influenced by the temperature of the snake’s nest?  Researchers assigned newly laid eggs to one of three temperatures: hot, neutral, or cold.  The hot condition duplicates the warmth provided by the mother python.  The neutral and cold conditions mimic the mother’s absence.  Here are the data on the number of eggs that hatched:

 

Cold

Neutral

Hot

Total

Hatched

16

38

75

129

Did not Hatch

11

18

29

58

Total

27

56

104

187

 

Assume that one of the 187 eggs is selected at random.  Calculate the following, and round your answers to four decimal places, if necessary.

(a) Find the probability that the egg did not hatch and the temperature was hot.

(b) Compute .  Then give a practical interpretation of this probability.

(c) If it is known that the phyton egg did not hatch, what is the probability that the temperature was cold?

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