The time it takes for seed of a certain variety to germinate is normally distributed with a mean of 120 hours and a standard deviation of 20 hours. What is the probability that a randomly selected seed takes more than 130 hours to germinate?
A.) 0.49
B.) 0.6915
C.) 0.3085
D.) .025
E.) 0.508
F.) 0
G.) 0.5
Solution :
Given that ,
P(x > 130) = 1 - P(x < 130)
= 1 - P[(x - ) / < (130 - 120) / 20)
= 1 - P(z < 0.5)
= 1 - 0.6915
= 0.3085
Probability = 0.3085
option C.) is correct
The time it takes for seed of a certain variety to germinate is normally distributed with...
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