Probability Questions

S

Semacks

New member
Joined
Jun 18, 2026
Messages
0
Reaction score
0
Someone help me, please note that options are four but go ahead n solve (post workings please)
Telephone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.
a. Find the probability of receiving 3 calls in a 5 minute interval.
Choose one answer.
a. 62.88%
b. 19.54%
c. 43.35%
d. 56.65%
b. Find the probability of receiving 10 calls in 15 minutes.
Choose one answer.
a. 5.29%
b. 15.60%
c. 97.42%
d. 10.48%
c. Suppose that no calls are currently on hold. If the agent takes 5 minutes to complete processing the current call, what is the probability that no callers will be waiting on hold?
Choose one answer.
a. 1.83%
b. 0.67%
c. 9.07%
d. 4.98%
d. If no calls are currently being processed, what is the probability the agent can take 3 minutes of personal time without being interrupted?
Choose one answer.
a. 9.07%
b. 1.83%
c. 0%
d. 0.67%
 
b
d
a
a
do you have the answers?
if you do, let me know, then i will post the workings….
 
dont have the answers they aint in Qbank or CFAI text…
 
48 calls per hour
=> 48 calls in 60 min
=> r= 48/60
In these types of problems Poisson distribution is applied
i) 3 calls in 5 min interval
Prob =[(rT)^k] * e(-rT) /k!;
r=48/60=4/5;
T=5;
k=3;
plug these in the Prob formula to get Prob = 19.54%
ii) 10 calls in 15 mins
solve as in part i
with r=48/60=4/5;
T=15;
k=10;
Prob= 10.48 % ;
iii) No callers waiting on hold in next 5 min means that you need to find the probability that no new calls will coem in next 5 min
so r=48/60=4/5;
T=5;
k=0;
Prob= 1.83%
remember the fact that 0!=1;(zero factorial is always 1)
iv) agent can take 3 min of personal tiem if he does not recieve any calls in next 3 min
so r=48/60;
T=3;
k=0;
Prob=9.07%;
I have solved your homework…
 
Thanks gauri…you did just that…back to the L2 forum now!!
 
Semacks Wrote:
——————————————————-
> Thanks gauri…you did just that…back to the L2
> forum now!!
are you seriously in level2 …
good luck!!
 
yeap…had tried to solve using the binomial with similar logic and got solutions very close for 8 n 9. Just a refresher which distribution is this??
PS: This stuff aint on the curriculum…just jogging my quant appetite
 
gauri..hadn’t seen the Poisson line…its clear now. jgrandits…this stuff wont appear on your exam. All the best guys!!
 
You must log in or register to reply here.
Back
Top