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.
40-55 years is the expected number of years that known natural gas reserves are expected to last given that the current rates of use and extraction<span> do not change. The world has 40-55 years left to find an alternative to oil before it runs out.</span>
<span> </span>
Answer:
Power is another source other than inheritance.
Hope this helped you!
Explanation:
Answer:
The correct answer is option a.
Explanation:
Minimum wages can be defined as the minimum level of wages that an employer is supposed to pay to workers for their work. It cannot be reduced through an individual contract or collective agreement.
Minimum wages are fixed above the equilibrium level of wages. At this level, the demand for labor is lower while supply is more because of high wages. This creates surplus labor in the market.
Answer: 24.60 minutes (2dp)
Explanation:
The question is essentially asking that we find the Standard Time it takes to serve a customer.
To do this we would have to calculate the averages of the different elements and then use this to find the normal time which we can then use to find the Standard Time.
Element 1
= (3 + 4 + 4 + 3 + 3)/5
= 3.4
Element 2
= ( 9 + 8 + 10 + 11 + 10)/5
= 9.6
Element 3
= ( 7 + 8 + 6 + 7 + 8)/5
= 7.2
We then calculate the normal times by multiplying each of the individual means with their performance ratings.
That would be,
Element A
= 3.4 * 70%
= 2.38
Element B
= 9.6 * 110%
= 10.56
Element C
= 7.2 * 120%
= 8.64
We then add up the normal times to get the total normal time
= 2.38 + 10.56 + 8.64
= 21.58 minutes
Now we can solve for the standard time using this formula,
Standard time = Normal time (1+Allowance factor)
= 21.58 ( 1 + 0.14)
= 24.6012 minutes
= 24.60 minutes (2dp)
The time per unit customer served is 24.60 minutes.
If you need any clarification please do comment. Cheers.
