SOLUTION: A study found that 61% of green turtles migrate to warmer climates when seasons change. Scientists tagged 120 green turtles before migration. What is the probability that less th

Algebra ->  Probability-and-statistics -> SOLUTION: A study found that 61% of green turtles migrate to warmer climates when seasons change. Scientists tagged 120 green turtles before migration. What is the probability that less th      Log On


   

Question 1175884: A study found that 61% of green turtles migrate to warmer climates when seasons change. Scientists tagged 120 green turtles before migration. What is the probability that less than 20 green turtles did not migrate to a warmer climate during the season change?

Mean:

Variance:

Standard Deviation:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Normal approximation
mean is np or 120*0.61=73.2 turtles migrate and 46.8 do not migrate
variance is np(1-p) or 73.2*0.39=28.548 turtles^2
sd is sqrt (V)=5.34 turtles
probability is a z < (19.5-46.8)/5.34, using continuity correction factor
and z < -5.34, which is essentially 0.