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Answer:
And the z score for 0.4 is
And then the probability desired would be:
Step-by-step explanation:
The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:
For this case we can assume that the population proportion have the following distribution
Where:
And we want to find this probability:
And we can use the z score formula given by:
And the z score for 0.4 is
And then the probability desired would be: