Poisson Probability Distribution

Assuming that breakdowns in electricity supply occur ramdomly with mean of one breakdown every 10 weeks. Find the probability of at least 2 breakdowns in any period of one week

• 0.0047

• 0.0952

• 0.0002

• 1.000

Poisson is a __________ probability distribution

• random

• discrete

• continuous

The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?

• 0.081

• 0.672

• 0.168

A certain maternity wing has a mean number of 6 babies born a day.  What is the probability of 7 babies being born in this maternity wing on any given day?

• .8571

• .1490

• .1377

• .0213

A mean number of .6 hurricanes strike the U.S. mainland each year.   Find the probability that more than one hurricane will strike the U.S. mainland in a given year. 

• .1219

• .8781

• .3293

• .6707

There is an average (mean) of 3 road construction projects that take place at any one time in a city. Find the probability that exactly 5 road construction projects are currently taking place. [Assume road construction projects take place randomly.]

• 0.6000

• 0.0112

• 0.1404

• 0.1008

Large sheets of metal have faults in random positions but on average have 1 fault per 10 m^2 . What is the probability that a sheet of 5 m × 6 m will have one fault?

• 0.149

• 0.070

• 0.993

• 0.030

Alif is expected to receive 4 emails in a week. Find the probability that Alif receives 8 emails for the next 2 weeks.

• 0.0297

• 0.0511

• 0.1395

• 0.5470

Given that on average (mean) 10 people are killed by sharks worldwide each year, find the probability that 1 or 2 people will be killed by sharks next year.

[Assume shark attacks occur randomly.]

• 0.0023

• 0.0005

• 0.0028

• 0.9972

What does the Poisson distribution describe?

• The probability distribution of a random variable with two possible outcomes.

• The probability distribution that describes the number of events that occur in a fixed interval of time or space.

• The measure of the central tendency of a random variable's probability distribution.

• The outcomes of a random variable with more than two possible outcomes.