QUESTION 1 Each statement below is incorrect. Justify why it is incorrect and give the correct distribution with its parameter(s) value if possible. а) Students arrival to school were Poisson -distributed with an average of 3 students per 1 minute. Therefore, the waiting time for the arrival of 3 students is exponentially distributed with 0= 1/3. b) The duration of time between two occurrences in a Poisson process with 1 equals to 4, usually follows Normal distribution with mean and variance equal to 2, because duration of time is a continuous random variable. c) An experiment that consist of unknown number of independent trials with 0.6 probability of success and a specific number of success is a description of a binomial distribution. d) An experiment with probability of successes in a random draw that are affected by the outcome in the previous random draws, will produce variables that are uniformly distributed.

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QUESTION 1
Each statement below is incorrect. Justify why it is incorrect and give the correct distribution
with its parameter(s) value if possible.
а)
Students arrival to school were Poisson -distributed with an average of 3 students per 1
minute. Therefore, the waiting time for the arrival of 3 students is exponentially
distributed with 0= 1/3.
b)
The duration of time between two occurrences in a Poisson process with 2 equals to 4,
usually follows Normal distribution with mean and variance equal to 1, because duration
of time is a continuous random variable.
c)
An experiment that consist of unknown number of independent trials with 0.6 probability
of success and a specific number of success is a description of a binomial distribution.
d)
An experiment with probability of successes in a random draw that are affected by the
outcome in the previous random draws, will produce variables that are uniformly
distributed.
1
Transcribed Image Text:3:04 PM Tue 18 May * 32% A learning5.uum.edu.my of QUESTION 1 Each statement below is incorrect. Justify why it is incorrect and give the correct distribution with its parameter(s) value if possible. а) Students arrival to school were Poisson -distributed with an average of 3 students per 1 minute. Therefore, the waiting time for the arrival of 3 students is exponentially distributed with 0= 1/3. b) The duration of time between two occurrences in a Poisson process with 2 equals to 4, usually follows Normal distribution with mean and variance equal to 1, because duration of time is a continuous random variable. c) An experiment that consist of unknown number of independent trials with 0.6 probability of success and a specific number of success is a description of a binomial distribution. d) An experiment with probability of successes in a random draw that are affected by the outcome in the previous random draws, will produce variables that are uniformly distributed. 1
e)
Observations over 5km of paved roads show that, on average there are 3 holes on the
road surface for every 200 meters. The number of holes on the surface of this paved road
is an example of Normal distribution with mean equals to 3.
Transcribed Image Text:e) Observations over 5km of paved roads show that, on average there are 3 holes on the road surface for every 200 meters. The number of holes on the surface of this paved road is an example of Normal distribution with mean equals to 3.
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