Answer:
1/50 < 2.8% < 0.044 < 7/40
Step-by-step explanation:
2.8%, 7/40, 1/50, 0.044
- 2.8% = 0.028 = 28/1000
- 7/40 = 0.175 = 175/1000
- 1/50 = 0.020 = 20/1000
- 0.044 = 44/1000
<u>Ordering in ascending order</u>
- 20/1000 < 28/1000 < 44/1000 < 175/1000
<u>Same order in original numbers</u>
- 1/50 < 2.8% < 0.044 < 7/40
So what I did was as $32.50 twice and got $65.00 and subtracted it with $212.50 and got $152.50. Hope i was helpful!
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)