What is the area of the shape below
1 answer:
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The 4 functions are:
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
for large values of x
In this problem, we can see that the only quadratic function is
, while all the others are linear functions, so the function that grows faster for large values of x is
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
In this problem, we can see that the only quadratic function is
Answer:
(a) The probability of having exactly four arrivals during a particular hour is 0.1754.
(b) The probability that at least 3 people arriving during a particular hour is 0.7350.
(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.
Step-by-step explanation:
(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:
The probability of having exactly four arrivals during a particular hour is 0.1754.
(b) The probability that at least 3 people arriving during a particular hour can be written as
Using
We get
The probability that at least 3 people arriving during a particular hour is 0.7350.
(c) The expected arrivals in a 45 minute period (0.75 hours) is