The mean length of mature whiting is 35 cm and the standard deviation is 7.2 cm. What is the probability of finding a fish of length 49 cm??
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Probability of finding fish length upto 49 cm = 0.974 & Probability of finding fish > 49 cm length = 1 - 0.974 = 0.026
Step-by-step explanation:
Mean = 35
Standard Deviation SD = 7.2 cm
Value = 49 cm
Z = ( Value - Mean)/SD
=> Z = ( 49 - 35)/7.2
=> Z = 14/7.2
=> Z = 1.944
Using Z score Table we get 0.974
Probability of finding fish length exactly 49 cm ≈ 0
Probability of finding fish length upto 49 cm = 0.974
Probability of finding fish > 49 cm length = 1 - 0.974 = 0.026
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