Can you please help me out, this is due midnight and I am so far behind....

 

this is due Sunday at midnight someone please help

 

 

6/23/2016 Test #2 (Units 5, 6, 7, & 8) WebAssign
Test #2 (Units 5, 6, 7, & 8) (Quiz)
Current Score : – / 71 Kendra Knuckles
MAT230, section MAT230.32 MOD5 2016, Summer 1 2016
Instructor: Kathleen Ferguson Due : Sunday, June 26 2016 11:59 PM EDT 1. –/1 pointsBerrFinMath1 5.1.003. Find the number using the following Venn diagram.
n(U) Show My Work (Optional) 2. –/1 pointsBerrFinMath1 5.1.005. Find the number using the following Venn diagram.
n(A ∪ B) Show My Work (Optional) 3. –/1 pointsBerrFinMath1 5.1.006. Find the number using the following Venn diagram.
n(Ac) Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 1/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 4. –/4 pointsBerrFinMath1 5.1.011. Given that n(A) = 20, n(B) = 12, n(A ∩ B) = 6, and n(U) = 38, fill in the four regions in the Venn diagram. U
A B Show My Work (Optional) 5. –/1 pointsBerrFinMath1 5.1.014. How many five­symbol computer passwords can be formed using the letters A to J and the digits 2 to 7? passwords
Show My Work (Optional) 6. –/1 pointsBerrFinMath1 5.2.002. Calculate the quotient of factorials.
7!
5! Show My Work (Optional) 7. –/1 pointsBerrFinMath1 5.2.003. Determine the number of permutations.
6P3 Show My Work (Optional) 8. –/1 pointsBerrFinMath1 5.2.005. Find the number of combinations.
8C4 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 2/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 9. –/2 pointsBerrFinMath1 5.2.008. A computer password is to consist of four alphanumeric characters with no repeats. (An alphanumeric character is a letter from A to Z
or a digit from 0 to 9.) How many such passwords are there? passwords How many are there if the letter O and the digit 0 are excluded to avoid confusion? passwords
Show My Work (Optional) 10.–/1 pointsBerrFinMath1 5.2.010. A junior high girls' basketball team is to consist of 5 players. How many different teams can the manager select from a roster of 8 girls? teams
Show My Work (Optional) 11.–/2 pointsBerrFinMath1 5.3.004. If a committee of 3 is to be chosen at random from a class of 14 students, what is the probability of any particular committee being
selected? (Enter your answer as a fraction.) What if the committee is to consist of a president, a vice president, and a treasurer? (Enter your answer as a fraction.) Show My Work (Optional) 12.–/2 pointsBerrFinMath1 5.3.007. A box contains 4 red and 9 green marbles. You reach in and remove 3 marbles all at once.
(a) Find the probability that these 3 marbles are all red. (Enter your answer as a fraction.) (b) Find the probability that these 3 marbles are all of the same color. (Enter your answer as a fraction.) Show My Work (Optional) 13.–/1 pointsBerrFinMath1 5.3.009. The U.S. Senate consists of 100 members, 2 from each state. A committee of 9 senators is formed. What is the probability that it
contains at least one senator from your state? (Round your answer to two decimal places.) Show My Work (Optional) 14.–/1 pointsBerrFinMath1 5.3.010. You carry nine keys in your pocket, three of which are for the three locks on your front door. You lose one key. What is the probability
that you can get into your house through the front door? (Enter your answer as a fraction.) Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 3/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 15.–/1 pointsBerrFinMath1 5.4.006. Suppose that 60% of drivers are "careful" and 40% are "reckless." Suppose further that a careful driver has a 0.3 probability of being
in an accident in a given year, while for a reckless driver the probability is 0.5. What is the probability that a randomly selected driver
will have an accident within a year? (Enter your answer to two decimal places.) Show My Work (Optional) 16.–/2 pointsBerrFinMath1 5.4.001. Use the given values to find the following. (Enter your answers as fractions.)
P(A) = 0.6, P(B) = 0.4, P(A ∩ B) = 0.1
(a) P(A given B) (b) P(B given A) Show My Work (Optional) 17.–/1 pointsBerrFinMath1 5.4.003. A box contains 5 white, 4 red, and 5 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is
white. (Enter your answer as a fraction.) Show My Work (Optional) 18.–/1 pointsBerrFinMath1 5.4.005. You will take either a basket­weaving course or a philosophy course, depending on what your advisor decides. You estimate that the
probability of getting an A in basket weaving is 0.85, while in philosophy it is 0.60. However, the chances of your advisor choosing the
basket­weaving course is only 30%, while there is an 70% chance that he will put you in the philosophy course. What is the probability
that you end up with an A? (Enter your answer to three decimal places.) Show My Work (Optional) 19.–/1 pointsBerrFinMath1 5.4.008. Two students are registered for the same class and attend independently of each other, student A 70% of the time and student B 60%
of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in
class that day? (Round your answer to three decimal places.) Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 4/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 20.–/6 pointsBerrFinMath1 8.1.001. For the situation, identify the two players and their possible choices, and construct a payoff matrix for their conflict.
In an attempt to gain more viewers, Channel 86 and Channel 7 are each trying to decide whether to schedule a quiz show or a
reality series in their 8:00 prime time slot. Market research indicates that if Channel 86 chooses a quiz show, it will gain 3% of
the market if Channel 7 runs a quiz show and lose 5% if Channel 7 runs a reality series, while if Channel 86 chooses a reality
series, it will gain 7% if Channel 7 runs a quiz show and lose 7% if Channel 7 runs a reality series. [Hint: Use Q and R for quiz
show and reality series.]
Channel 7
Q R
Channel 86 Q
R % % % % What does Q represent?
Q represents a quiz show.
Q represents a reality show. What does R represent?
R represents a quiz show.
R represents a reality show. Show My Work (Optional) 21.–/5 pointsBerrFinMath1 8.1.003. For the game, identify the saddle point and determine the corresponding optimal strategy for each player. 3 9 2 7 The saddle point is the in row The optimal strategy is for R to always choose row and column . and for C to always choose column . Show My Work (Optional) 22.–/5 pointsBerrFinMath1 8.1.004. For the game, identify the saddle point and determine the corresponding optimal strategy for each player. 4 1 2 5 −4 −5 The saddle point is the in row The optimal strategy is for R to always choose row and column . and for C to always choose column . Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 5/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 23.–/10 pointsBerrFinMath1 8.1.007. Determine the optimal strategy for the situation by representing it as a game and finding the saddle point. State your final answer in
the terms of the original question. In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the
price of a hamburger by 10¢. If they both raise their prices, there will be no change in their market shares, but if they both lower their
prices, the chain's national advertising will ensure that MacArches gains 6% of the market. Again because of advertising, if Burger
Haven lowers their price and MacArches raises their price, Burger Haven will gain only 5% of the market, but if Burger Haven raises
their price and MacArches lowers their price, MacArches will gain 8% of the market. Use this information to decide what the managers
should do. MacArches
L R
L
Burger Haven R % % % % What does L represent?
L represents lowering the price by 10¢.
L represents raising the price by 10¢. What does R represent?
R represents lowering the price by 10¢.
R represents raising the price by 10¢. The saddle point is the in row and column . What should the managers do?
MacArches should lower its prices, while Burger Haven raises its prices.
Burger Haven should lower its prices, while MacArches raises its prices. Both restaurants should lower the price.
Both restaurants should raise the price.
Show My Work (Optional) 24.–/1 pointsBerrFinMath1 8.2.001. For the game and mixed strategies, find the expected value. Let G = 2 −5
1 1
, r = and c = 4 3
2 2 1
2
1
2 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 6/7 6/23/2016 Test #2 (Units 5, 6, 7, & 8) 25.–/6 pointsBerrFinMath1 8.2.005. For the 2 × 2 game, find the optimal strategy for each player. Be sure to check for saddle points before using the formulas. 2 −5 1 2 For row player R: r1 = r2 = For column player C: c1 = c2 = Find the value v of the game for row player R. v = Who is the game favorable to?
The game is favorable to the row player.
The game is favorable to the column player. This is a fair game.
Show My Work (Optional) 26.–/12 pointsBerrFinMath1 8.2.009. Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original
question.
A farmer grows apples on her 700­acre farm and must cope with occasional infestations of worms. If she refrains from using
pesticides, she can get a premium for "organically grown" produce and her profits per acre increase by $900 if there is no
infestation, but they decrease by $300 if there is. If she does use pesticides and there is an infestation, her crop is saved and
the resulting apple shortage (since other farms are decimated) raises her profits by $600 per acre. Otherwise, her profits
remain at their usual levels.
No worms Worms No pesticides Pesticides r1 = r2 = c1 = c2 = v = How should she divide her farm into a "pesticide­free" zone and a "pesticide­use" zone? (Round your answers to two decimal places.)
The farmer should setaside acres for pesticide­free apples and use pesticide on the other acres. What will be her expected increase in profits per acre with this strategy? This strategy will increase her expected profits by $ per acre. Show My Work (Optional) https://www.webassign.net/web/Student/Assignment­Responses/last?dep=13745043 7/7

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