Poisson distribution - Example 1

The following problem is solved:
At a Major League Baseball park, five customers arrive at a concession stand on average in a ten-minute period.
A) What is the probability that in a ten-minute period exactly three people will arrive at the concession stand?
B) Find the probability of exactly 3 customers arriving in 20 minutes?
C) Find the probability of 3 or fewer customers arriving in 20 minutes?
D) Find the probability of more than 3 customers arriving in 20 minutes?

[aftikharmominzada]

If all instructors could make it this concise and to the point! Thank you for making this video.

[ismaelnewman]

All of these, the videos and the questions were great help Thank you

[adrianmonk]

Thanks for asking this question Maluleka, and thanks for answering it professor. Now I can solve most of the problems in my textbook. However, what happens if the interval of the question is smaller than the interval in the information.

[melanieclaire]

Thank you very much all the way from Cameroon

[trouble.nyirongo]

This is awesome you are a great recture

[jagathrajapaksha]

great explanation, thank you so much, specially, I understood the difference between mu and lambda

[tranquillamp]

Why is t=1 and not 10 because it is 10mins for the first question

[maxmorris]

Thanks so much that's really clear, you made it easy

[michaelitam]

Great teaching skills. Much appreciated!

[veronicamiles]

Thanks so much. Do you do statistics tutoring as well?

[favoritetroll]

In part D, why did you divide the probability into p(x=4), p(x=5), p(x=6), p(x=7)...etc. Isn't in the main question only 5 customers arriving so wouldn't it make sense to do it only till x=4 and x=5. idk how u got x=6 and upwards

[the_new_rolo]

Thank you for also explained it in excel

[MM-ysfx]

The formula for the crash multiple is: ∞/(∞-X), X is randomly selected from 0~∞.



The data are 6.51 and 9.51
The result is = 33.88

Can you explain to me how to find this result please

Can you give me a solution to this issue

[nuguyaguuu]

Hi sir, ur video makes me so motivate to learn this material. But can I ask, why when we find question c we should put 1 in cumulative part in excel? Thank u

[chetangarg]

Sir help me to solve this problem

Arrivals of customers at a telephone booth follow poisson distribution, with an average time
of 10 minutes between one arrival and the next. The length of the phone call is assumed to be
distributed exponentially with a mean of 3 minutes. Find
a. The average number of persons waiting and making telephone calls
b. The average length of the queue that is formed from time to time.
c. Probability that a customer arrive and find telephone booth is busy.
d. Probability that a customer arrive and find telephone booth is empty.
e. The average time spent by a customer in telephone booth

[kyuutiful]

Hi sir how did you got P(X < 3) = 1 (P <= 3) instead of P(X < 3) = 1 (P < 3) ?

[mindyu-uzcx]

how did you got the 3 on the x? is it 5-2?

[bashirumahmud]

My problem is that I don't know how to use the formula in the calculator to arrive at the final answer.