Cashback Offer from 5th to 10th October 2021. Get Flat 10% Cashback credited to your account for a minimum transaction of $80. Post Your Question Today!

Question DetailsNormal
$ 25.00

STAT 200 Quiz 2 | Complete Solution

Question posted by
Online Tutor Profile
request

STAT 200
Section 6388

Spring 2015
Quiz #2
 
Please answer all 6 big questions.  The maximum score for each question is posted at the beginning of the question, and the maximum score for the quiz is 100 points.  Make sure your answers are as complete as possible and show your work/argument.  In particular, when there are calculations involved, you should show how you come up with your answers with necessary tables, if applicable.  Answers that come straight from program software packages will not be accepted.  The quiz is due by midnight, coming Sunday.
 

IMPORTANT: You are requested to include a brief note at the beginning of your submitted quiz, confirming that your work is your own.  The note should say, "I have completed this assignment myself, working independently and not consulting anyone."  Your submitted quiz will be accepted only if you have included this statement.
 
 
 
1. John made an experiment by tossing three fair coins. (Fair coin has the same probability for a tail and head ½).
(a) (5 points) List the sample space for this experiment. (All possible outcomes)


(b)(3 point) What is a probability of three tails?

(c) (3 points) What is a probability of exactly two tails?

(d) (4 points) What is a probability of at least one tail?


2.   Among UMUC students 70% own a car, 50% own a bike and 40% own both.
(a) (7 points) Draw a Venn diagram.



(b) (5 points) Find a probability that a randomly chosen student own a least one of the above vehicles.


(c) (5 points) What is a probability that a randomly chosen student does not own a bike?
 
 
3. A division has 12 employees, 8 males and 4 females.
(a) (5 points) In how many ways can a committee of 6 members can be selected from out of these 12?


(b) (5 points) Find the probability that a random committee contains all males?


(c) (5 points)  Suppose that the committee should have one President
which has to be a female and two ordinary members who must be males.
How many different committees are possible?

4. X is normally distributed with mean 12 and standard deviation 4.
(a) (5 points)Find the probability that X will be more than 10.

(b) (5 points) Find the probability that X will be less than 13.5

(c) (6 points) Find the probability that X will be between 10 and 14.5

(d) (7 points) Find a such that P(X
(e)(7 points) Find b such that P(X> b)=.25
 
 
 
5.  (7 points)  Which of the following is not a binomial distribution and why? Justify your answer.
1. Tossing a fair quarter 10 times and looking at number of heads that shows up.
2. Rolling a fair die 10 times and looking at the number of times we get six dots showing up.
3. Rolling a fair die 10 times and keeping track of the numbers that are rolled.
4. Rolling 10 fair dice and looking at the number of dice that have 4 dots facing up.


 
6.   Among companies doing highway or bridge construction, 80% test employees for substance abuse (based on data from the Construction Financial Management Association) A study involves the random selection of 12 such companies.
(a) (3 points) Find the probability that exactly 7 of the 12 companies test for substance abuse.

(b) (3 points) Find the probability that at least half of the companies test for substance abuse.

(c) (7 points) For such group of 12 companies, find the mean and standard deviation for the number (among 12) that test for substance abuse.

(d) (3points) Using the results from part (c) and the range rule of thumb, indentify the range of usual value.

Available Answer
$ 25.00

[Solved] STAT 200 Quiz 2 | Complete Solution

  • This Solution has been Purchased 6 time
  • Average Rating for this solution is A+
  • Submitted On 18 Feb, 2015 12:47:09
Answer posted by
Online Tutor Profile
solution

Let H denotes the event head and T denotes that event tail then the sample space for this experiment is,
{HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}

(b)(3 ...

Buy now to view the complete solution
Other Similar Questions
User Profile
Exper...

STAT 200 OL1/US1 Sections Final Exam Summer 2016

Answer: (a) False (b) False (c) True (d) True (e) False Justification: a) If A and B are independent then P(A and B) = P(A)*P(B) = 0.4*0.5 = 0.2 b) Consider the values 6,6,6,6,6 and 6. The variance for this datas...
User Profile
Homew...

STAT 200 OL1/US1 Sections Final Exam Fall 2015 | Complete Solution

Answers: (a) False (b) False (c) True (d) True (e) False Work for (a), (b), (c), (d) and (e): a) Variation is the average of square of difference of each value from the mean. If the values are identical but not 0 then ...
User Profile
NUMBE...

STAT 200 OL4 / US2 Sections Final Exam Spring 2015 | Complete Solution

STAT 200 OL4 / US2 Sections Final Exam Spring 2015 | Complete SolutionSTAT 200 OL4 / US2 Sections Final Exam Spring 2015 | Complete SolutionSTAT 200 OL4 / US2 Sections Final Exam Spring 2015 | Complete SolutionSTAT 200 OL4 / ...
User Profile
Exper...

STAT 200 OL4 / US2 Sections Final Exam Spring 2015 | Complete Solution

Answers: (a) True (b) False (c) True (d) True (e) False Work for (a), (b), (c), (d) and (e): a) Variance represents the average of the squared difference from the mean. Variance 0 means all values are s...
User Profile
Edna

Stat 200 Quiz 3

Attached is document with answers an solutions. Please message me if you have any question....

The benefits of buying study notes from CourseMerit

homeworkhelptime
Assurance Of Timely Delivery
We value your patience, and to ensure you always receive your homework help within the promised time, our dedicated team of tutors begins their work as soon as the request arrives.
tutoring
Best Price In The Market
All the services that are available on our page cost only a nominal amount of money. In fact, the prices are lower than the industry standards. You can always expect value for money from us.
tutorsupport
Uninterrupted 24/7 Support
Our customer support wing remains online 24x7 to provide you seamless assistance. Also, when you post a query or a request here, you can expect an immediate response from our side.
closebutton

$ 629.35