Answer:
If we use the probability mass function we got:
Step-by-step explanation:
Previous concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
Solution to the problem
Let X the random variable that represent the number of students arrive at the office hour. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
And we want this probability:
If we use the probability mass function we got:
The length could be 5 and width 3. That would equal 15
Answer:
Mark has 6 times as many as Tom
Step-by-step explanation:
Elijah = E
Tom = T
Mark = M
Translate the information into mathematical equation :
E = 3T
M = 2E
How many times Mark has as many as Tom ?
M = ..... T ?
M = 2 E (Remember, E = 3T, insert this)
M = 2 ( 3 T )
M = 6 T
Mark has 6 times as many as Tom
Answer:
y =
Step-by-step explanation:
Since y is inversely proportional to x the equation relating them is
y = ← k is the constant of proportionality
To find k use the condition when y = 7, x = 9
k = yx = 7 × 9 = 63
y = ← equation connecting x and y
The differential of
is
where the partial derivatives are
So the differential d<em>w</em> is