What is average of 65& 30
2 answers:
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<h2>Answer with explanation:</h2>
We know that a removable discontinuity occurs when:
The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.
Also it is a point on the graph such that it is undefined at that point.
The graph that has a removable discontinuity is attached to the answer.
Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.
Answer:
(a) The probability of 7 people passing by the window in the first hour is 0.000034.
(b) The probability of Y = 17 is 0.1144.
(c) The value of E (Y) and V (Y) is 24.
Step-by-step explanation:
Let <em>Y</em> = number of people who passes by Brad's window per hour.
The random variable <em>X</em> follows a Poisson distribution with parameter, <em>λ </em>= 24.
The probability mass function of a Poisson distribution is:
(a)
Compute the value of P (Y = 7) as follows:
Thus, the probability of 7 people passing by the window in the first hour is 0.000034.
(b)
It is provided that 5 people have already passed by the window in the first 30 minutes.
This implies that in the next 30 minutes 12 people will pass.
The average number of people passing Brad's window in 30 minutes is,
Compute the probability of Y = 17 as follows:
P (Y = 17) = P (12 people passing in the nest 30 minutes)
Thus, the probability of Y = 17 is 0.1144.
(c)
The expected value and variance of a Poisson distribution are same as λ.
So,
E (Y) = 24
V (Y) = 24
Thus, the value of E (Y) and V (Y) is 24.