Reference no: EM13926393
1. John made an experiment by tossing three fair coins. (Fair coin has the same probability for a tail and head 1/2).
(a) List the sample space for this experiment. (All possible outcomes)
(b) What is a probability of three tails?
(c) What is a probability of exactly two tails?
(d) 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) Draw a Venn diagram.
(b) Find a probability that a randomly chosen student own a least one of the above vehicles.
(c) 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) In how many ways can a committee of 6 members can be selected from out of these 12?
(b) Find the probability that a random committee contains all males?
(c) 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) Find the probability that X will be more than 10.
(b) Find the probability that X will be less than 13.5
(c) Find the probability that X will be between 10 and 14.5
(d) Find a such that P(X<a)=.85
(e) Find b such that P(X> b)=.25
5. 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) Find the probability that exactly 7 of the 12 companies test for substance abuse.
(b) Find the probability that at least half of the companies test for substance abuse.
(c) For such group of 12 companies, find the mean and standard deviation for the number (among 12) that test for substance abuse.
(d) Using the results from part (c) and the range rule of thumb, indentify the range of usual value.
|
What distance has boat travelled relative to water
: Use momentum conservation to find a relation between the velocity of the car relative to the boat and the velocity of the boat relative to the water. Hence show that the distance travelled by the boat, until the car falls off, is independent of th..
|
|
Formula for a regression equation
: The formula for a regression equation is Y' = 2X + 9. a. What would be the predicted score for a person scoring 6 on X? b. If someone's predicted score was 14, what was this person's score on X?
|
|
Corporate responsibility and marketing strategies
: Use the Internet to research the Apple Corporation, its current position and reputation regarding ethical and social responsibility, and the strategies that it currently employs to market its products.
|
|
Solution of a linear programming problem
: 1. The standard form for the computer solution of a linear programming problem requires all variables to the right and all numerical values to the left of the inequality or equality sign
|
|
Experiment by tossing three fair coins
: John made an experiment by tossing three fair coins. (Fair coin has the same probability for a tail and head 1/2).
|
|
Find the kinetic energy lost during the collision
: A smooth sphere of mass m moving with speed v on a smooth horizontal surface collides directly with a second sphere of the same size but of half the mass that is initially at rest. The coefficient of restitution is e. Show that the total kinetic e..
|
|
What is rationale for having customers wait in a single line
: In a multiple-channel system, what is the rationale for having customers wait in a single line, as is now being done in many banks and post offices, rather than multiple lines?
|
|
Find the speed of the bullet
: A bullet weighing 5 g is fired horizontally into a 2 kg wooden block resting on a horizontal table. The bullet is arrested within the block which moves 2 m. If the coefficient of kinetic friction between the block and surface of the table is 0.2, ..
|
|
Create a view of the database
: Create a view of the database showing the Team Name (TName) and the Players last name (LastName) for all Players in the system.
|