Question

Suppose the time a student takes on an exam can be modeled by a Poisson process with a mean of 20 questions per hour Let X denote the number of questions completed.

A)What is the probability of a student finishing exactly 18 questions in the next hour?

B)What is the probability of a student finishing
**exactly** 12 questions in 30 minutes?

C) What is the probability of finishing **at
least** 1 question in the next minute?

Answer #1

Suppose the time a student takes on an exam can be modeled by a
Poisson process with a mean of 20 questions per hour Let X denote
the number of questions completed.
A)What is the probability of a student finishing
exactly 18 questions in the next hour?
B)What is the probability of a student finishing
exactly 12 questions in 30 minutes?
C) What is the probability of finishing at
least 1 question in the next minute?

A student receiving texts can be modeled as a Poisson process at
a rate of 3 per hour.
a) What is the probability that the student receives 2 or more
texts in the next 30 minutes?
b) Given that the student received 3 texts in the last 10
minutes, what is the probability that the next text will arrive
within 15 minutes?
c) Among a group of 10 students, what is the probability that at
least 2 will receive at...

Number of visits to an emergency center is modeled as a Poisson
process with average number of arrivals being 6 per hour. What is
the probability that it will take more than 15 minutes for the next
two arrivals?

Number of visits to an emergency center is modeled as
a poisson process with an average number of arravals being 6 per
hour. What is the probability that it will take more than 15
minutes for the next two arrivals?
PLEASE SHOW ALL WORK

Suppose that phone calls arrive at a switchboard according to a
Poisson Process at a rate of 2 calls per minute.
(d)What is the probability that the next call comes in 30
seconds and the second call comes at least 45 seconds after
that?
(e) Let T4 be the time between 1st and 5th calls. What is the
distribution of T4?
(f) What is the probability that the time between 1st and 5th
call is longer than 5 minutes?
Please...

A store lets customers enter one at a time. Suppose that the
entries follow a Poisson process with a mean of 10 customers per
hour. (a) What is the probability that exactly 11 customers enter
in a given hour?
(b) What is the probability that exactly 18 customers enter in a
given two-hour period?
(c) A new greeter starts their shift at noon. What is the
probability that they let their first customer enter before
12:15?

The number of people arriving for treatment at an emergency room
can be modeled by a Poisson process with a rate parameter of five
per hour. By using Poisson Distributions. Find:
(i) What is the probability that exactly four arrivals occur
during a particular hour?
(ii) What is the probability that at least four people arrive
during a particular hour?
(iii) What is the probability that at least one person arrive
during a particular minute?
(iv) How many people do...

Visitors arrive to an internet site according to a Poisson
process with an average of 10 visitors per hour. Use this
information to answer the following questions.
1.What is the probability that 12 visitors arrive in an hour?
(Use 4 decimal places)
2. What is the probability that at least 20 minutes elapse
between visitors to the website? (Use 4 decimal places)
3.What is the probability that at least 2 visitors come to the
website in 30 minutes? (Use 4...

A student takes an exam containing 13 true or false questions.
If the student guesses, what is the probability that he will get
exactly 2 questions right? Round your answer to four decimal
places.

A student takes an exam containing 15 true or false
questions. If the student guesses, what is the probability
that he will get exactly 4 questions right? Round
your answer to four decimal places.

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