Is 0.789 greater than 0.7 or less then it?

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

The answer is 0.789
So that means 0.789 is greater than 0.7
Hope this helps :)

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Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 mont

Zigmanuir [339]

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 $\mu=26$ , Standard deviation $\sigma=2$

Using Z-score formula,

$Z=\frac{\bar{x}-\mu}{\sigma}$

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 $\bar{x}=23$ is given by,

$Z=\frac{23-26}{2}$

$Z=\frac{-3}{2}$

$Z=-1.5$

The probability of getting a sentence below that is $P(X$

i.e. $P(X$

$P(X$

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 $\bar{x}=30$ is given by,