Twelve jurors are randomly selected from a population of 5million residents. Of these 5 million​ residents, it is known that 49​% are of a minority race. Of the 12jurors​ selected, 2 are minorities.​(a) What proportion of the jury described is from a minority​ race?​(b) If 12 jurors are randomly selected from a population where 49% are​ minorities, what is the probability that 2or fewer jurors will be​ minorities?​(c) What might the lawyer of a defendant from this minority race​ argue?

Question
Asked Oct 19, 2019
127 views

Twelve jurors are randomly selected from a population of
5million residents. Of these
5 million​ residents, it is known that
49​% are of a minority race. Of the
12jurors​ selected, 2 are minorities.

​(a) What proportion of the jury described is from a minority​ race?
​(b) If 12 jurors are randomly selected from a population where
49% are​ minorities, what is the probability that
2or fewer jurors will be​ minorities?
​(c) What might the lawyer of a defendant from this minority race​ argue?

check_circle

Expert Answer

Step 1

a).

The proportion of the jury described is from a minority race is 2/12 = 0.17.

b).

The number of residents who belongs to minority race out of 5 million residents is,

(Number of residents who
49
-x10
100
belongs to minority race
= 49x104
help_outline

Image Transcriptionclose

(Number of residents who 49 -x10 100 belongs to minority race = 49x104

fullscreen
Step 2

Let the random variable X, the number of minority people selected in the jury. Then,

'Sekecting resident who
P
belongs to minority race)
49x104
106
0.49
help_outline

Image Transcriptionclose

'Sekecting resident who P belongs to minority race) 49x104 106 0.49

fullscreen
Step 3

Therefore, the random variable X, number of minority people selected in the jury follows binomial distribution with p = 0.49 and n = 12 (given).

The probability that 2 or fewer ...

BINOM.DIST(2,12,0.49,TRUE)
F
G
0.022744
help_outline

Image Transcriptionclose

BINOM.DIST(2,12,0.49,TRUE) F G 0.022744

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: How many different teams of 3 can be chosen from a group of 9 adults and 8 children if each team mus...

A: There are 9 adults and 8 children. A team has to be selected with 3 members.

question_answer

Q: A newspaper article reports that the mean cost for preventative dental care per year is $175 with a ...

A: 1)Null and alternative hypotheses:Null hypothesis:H0: µ = 175That is, the mean cost for preventative...

question_answer

Q: In a recent study, researchers found that 40 out of 250 boys aged 7-13 were overweight or obese. On ...

A: 1) Stating the appropriate null and alternative hypotheses:Based on the study, it was found that 15%...

question_answer

Q: Can you answer this question please?

A: Note:Hi! Thank you for posting the question. Since your question has more than three sub-parts, we h...

question_answer

Q: Two samples, each with n = 5 scores, have a pooled variance of 40. What is the estimated standard er...

A: Given Datan1 = n2 = 5pooled variance = 40Estimated standard error is given by

question_answer

Q: If you want to be 99​% confident of estimating the population mean to within a sampling error of ±25...

A: The provided information’s are:Standard deviation (σ) = 125.Sampling error (E) = ±25Confidence level...

question_answer

Q: SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114. ...

A: a. The percentage of SAT scores is between 401 and 629 is 0.6826 and it is calculated below: From th...

question_answer

Q: Which of the following linear correlation coefficient suggest a perfect negative linear relationship...

A: The conditions for correlation: If r=-1, then the correlation between the two variables is perfectly...

question_answer

Q: When using Excel's BINOM.DIST function, one should choose TRUE for the fourth input if _____.

A: In the Excel’s BINOM.DIST function, the fourth input as TRUE used for obtaining the cumulative distr...