Answer:
=(k−1)*P(X>k−1) or (k−1)365k(365k−1)(k−1)!
Step-by-step explanation:
First of all, we need to find PMF
Let X = k represent the case in which there is no birthday match within (k-1) people
However, there is a birthday match when kth person arrives
Hence, there is 365^k possibilities in birthday arrangements
Supposing (k-1) dates are placed on specific days in a year
Pick one of k-1 of them & make it the date of the kth person that arrives, then:
The CDF is P(X≤k)=(1−(365k)k)/!365k, so the can obtain the PMF by
P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=
(k−1)/365^k * (365k−1) * (k−1)!
=(k−1)*(1−P(X≤k−1))
=(k−1)*P(X>k−1)
Answer:
69.808
Step-by-step explanation:
69.808
You don't need the names since there is 4367, and that would only be about 1/9th of the whole amount of members, so b is out of the question. you need average people to make it, so d is out of the question, and picking a random letter out of the alphabet is as arbitrary as a, but you are adding the effect of Inconsistency so I would say Let the gym management decide which members should be surveyed is the right answer
Answer:
1/3
Step-by-step explanation:
Of the numbers between 1 and 12, the numbers that are multiples of 4 or 6 are: 4, 6, 8, 12.
So the probability is 4/12, or 1/3.
