The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
The probability of getting exactly three robberies in a day is 0.1607.
<h3>What is meant by poison distribution?</h3>
The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
In the poison distribution a discrete random variable X has the following probability mass function,
, where
is the mean of the distribution and
Given that 
The required probability, 
Therefore, the probability of getting exactly three robberies in a day is = 0.1607.
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Answer:
Step-by-step explanation:
We know a triangle adds up to 180 so:
75+36+ ? = 180
111+ ? =180
? = 69
To find out x, we know that a straight line adds up to 180 so again:
x +69 = 180
x = 111
The greatest common factor of 10 is 10 and the least common factor of 15 is 15
Hope I helped!!!!!
Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10
⁹ k
m
.
and Mercury = 5.791 × 10
⁷ k
m
.
Hence neptune is ( 4.503 × 10
⁹) ÷ (5.791
×
10
⁷ ) times farther from the sun than mercury
i.e.(
) × 10⁹⁻⁷ times
=
0.7776 × 10
² times
=
77.76 times.
Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is




Add 3 on both sides.


Therefore, the required equation of line is
.