Answer:
Part a: The probability of breaking even in 6 tosses is 0.3125.
Part b: The probability that one payer wins all the money after the 10th toss is 0.0264.
Explanation:
Part a
P(success)=1/2=0.5
P(Failure)=1/2=0.5
Now for the break-even at the sixth toss
P(Break Even)=P(3 success out of 6)
P(3 success out of 6)

So the probability of breaking even in 6 tosses is 0.3125.
Part b:
So the probability that one of the player wins all the money after the 10th toss is given as the tenth toss is given as a win so
Wins in 9 tosses is given as 9!/7!=72
The probability that the other person wins
Wins in 8 out of 10 tosses is given as 10!/8!(10-8)!=10!/8!2!=45
So the probability of all the money is won by one of the gambler after the 10th toss is given as
P=number of wins in 9 tosses-Number of wins in 10 tosses/total number of tosses
P=(72-45)/2^16
P=0.0264
So the probability that one payer wins all the money after the 10th toss is 0.0264.
Answer:
Profit maximising price = 48
Explanation:
Total Cost : C (x) = 8x + 3
Demand Curve : p (x) = 88 − 2x
Total Revenue = p (x). x = x (88 - 2x) = 88x - 2x^2
Profit maximisation is where Marginal Cost (MC) = Marginal Revenue (MR)
MC = d TC / d Q = d (8x + 3) / d x = 8
MR = d TR / d Q = d (88x - 2x^2) / d x = 88 - 4x
Equating MR & MC ,
88 - 4x = 8 , 88 - 8 = 4x
x = 80 / 4 , x = 20
Putting value in demand curve,
p = 88 - 2x = 88 - 2 (20) = 88 - 40
p = 48
Answer:
c) finish-to-start; start-to-start
Explanation:
Project dependencies are the time relationships between a predecessor and a successor in project management. In other words, these dependencies describe which activity among the two needs to start earlier or later and when it needs to start or finish compared to the other one.
The most common type of dependency in all projects (no matter the nature or industry) is the finish-to-start one, where the activity A needs to be completed before activity B starts, e.g. base nail polish has to be put before the top coat gets put on the nails.
The second most common type of dependency is the<em> start-to-star</em>t one, where two activities need to start at the same time. This is common for activities where synchronization is paramount.
Answer: 0.3
Explanation:
The Sharpe ratio is simply used by organizations and investors in order to compare the return on an investment to its risk.
From the question, we are informed that a portfolio has a 30% standard deviation generated a return of 15% last year when T-bills were paying 6.0%.
The Sharpe ratio will be:
= (15% - 6.0%)/30%
= 9%/30%
= 0.09/0.3
= 0.3
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