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. 1) what is the z score for a 23 month sentence length? what is the probability of getting a sentence below that? 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. 3) would you consider a 30 month sentence harsh? explain

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

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

b if for most of the graph

d if y intercept

step-by-step explanation: