Temperature Change In Detroit the temperature is 69F and is rising at a rate of 2F per hour. In Atlanta the temperature is 84F a
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Answer and explanation:
Given : Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 months with a standard deviation of 2 months. The records show that the sentence lengths are normally distributed.
i.e. Mean , Standard deviation
Using Z-score formula,
1) What is the Z score for a 23 month sentence length? What is the probability of getting a sentence below that?
The Z score value for a is given by,
The probability of getting a sentence below that is
i.e.
2) A defense attorney is concerned that his client's sentence was unusually harsh at 30 months. What percent of sentences are 30 months or longer? Calculate the Z score and report the area.
The Z score value for a is given by,
The probability of getting a sentence below that is
i.e.
Into percentage,
3) Would you consider a 30 month sentence harsh? Explain
Since the percentage for 30 months or greater is harsh because the smaller value of percentage of