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What is the probability that she will be able to get to bed in time to be sufficiently rested for the next day's class?

Jane has an early class tomorrow morning. She knows that she needs to get to bed by 10:00 pm in order to be sufficiently rested to concentrate and participate in class. However before she goes to bed, she must start and then complete a homework assignment which is due tomorrow morning. According to her experience, the time it takes her to complete a homework assignment for this class is Normally distribute with mean =3.5 hours and standard deviation =1.2 hours. Helen looks at her watch and sees that it is now 6:00 pm. What is the probability that she will be able to get to bed in time to be sufficiently rested for the next day's class?

Solution Preview

This is a word problem. From the given information, we know that she needs to get to bed by 10:00 pm in order to be sufficiently rested to concentrate and participate in class. But it is 6:00 pm now. So, we can know that it is about FOUR hours for her to complete the homework so that she can get to bed by 10:00 pm.

Assume that she needs X hours to complete her homework assignment. Then we know that X is a random ...

Solution Summary

The probability that she will be able to get to bed on time is discussed.

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