Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B = 2.5 million is the 2012 populatio
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Answer:
a) P(x=3)=0.089
b) P(x≥3)=0.938
c) 1.5 arrivals
Step-by-step explanation:
Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.
The variable X is modeled by a Poisson process with a rate parameter of λ=6.
The probability of exactly k arrivals in a particular hour can be written as:
a) The probability that exactly 3 arrivals occur during a particular hour is:
b) The probability that <em>at least</em> 3 people arrive during a particular hour is:
c) In this case, t=0.25, so we recalculate the parameter as:
The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.
Start with
Expand both parentheses by multiplying both terms by the number outside:
Sum like terms:
Simplify the "+3" on both sides:
Subtract 2x from both sides:
Divide both sides by 2:
Answer:
Step-by-step explanation:
= - 4 - 2( - 3) = 2
= - 4 - 2( - 2) = 0
= - 4 - 2( - 1) = - 2
= - 4 - 2( 0 ) = - 4
= - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
