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:
The implication is that the Illinois Department of Child Services is a unionized workplace.
Mortimer will derive better benefits that surpass the costs of membership. He is covered in all collective bargains, even when he resigns his union membership. Unions negotiate for better working conditions, higher pays, and improved benefits.
When Mortimer has any grievance against the department, the union will also represent him, thereby making his life easier since unions can negotiate better with employers than individual workers.
Mortimer is even lucky to find a job at a unionized workplace because the jobs are not usually advertised as union members easily bring in their relatives and friends to occupy such vacancies.
Explanation:
Most of the disadvantages that Mortimer should complain about unions are disadvantages to the employer and not to him as an individual worker. For the employer, the union acts as a form of monopoly that can decide whether the workers would work or not. The unionized workers are not easy to replace with other workers.
Answer:
Total dollar Annual Cost = $300,000
Explanation:
- Total loan Commitment = 9000000
- Borrowed Fund (Used Portion) = 6000000
- Unused Portion (9000000 - 6000000) = 3000000
- Annual Commitment Fee for unused Portion = 0.50%
- Commitment Fee = 3000000 x 0.05% = 15000
- Borrowed Fund (Used Portion) = 6000000
- Interest Rate (3.25% + 1.5%) = 4.75%
- Interest Cost (6000000 x 4.75%) = 285000
Total dollar Annual Cost (15000 + 285000) = $300,000
Answer:
b. $660,000.
Explanation:
Deferred revenues or unearned revenues refer to money that a company received in advance for goods or services that it still has delivered or provided. In this case, the company hasn't provided services for years 2017, 2018 and 2019 = $200,000 + $320,000 + $140,000 = $660,000
Answer:
Disparate impact.
Explanation:
Types of Discrimination :
-DisparateTreatment. Defendant discriminates overtly against all members of protected class.
-Disparate Impact. Defendant’s apparently non-discriminatory practices result in disproportionately heavy impact on protected class.
Disparate Impact characteristics:
-Indirect discrimination
-Unequal consequences or results
-Decision rules with racial / sexual consequences
-Unintentional discrimination
-Neutral, color-blind actions
-Same standards, but different consequences for different groups
