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Alex787 [66]
1 year ago
5

The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi

lity of getting exactly three robberies in a day.
Mathematics
1 answer:
cupoosta [38]1 year ago
6 0

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,

$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$, where $\lambda$ is the mean of the distribution and $x=0,1,2,3 \ldots \ldots$

Given that $\lambda=1.8$

The required probability, $P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

To learn more about poison distribution refer to:

brainly.com/question/9123296

#SPJ9

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I need help :,)
Dmitry_Shevchenko [17]

Answer:

add 17.50 to 8.75 you get 26.25

7 0
2 years ago
Read 2 more answers
A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w
vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance =  Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance =  Do + Vo*t + 0.5*a*t^2

(1 foot)=  (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D =  Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0  (Ground)

We substitute in the equation, and solve for t (time)

(0) =  (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s  <  2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0
3 years ago
Anyone know this? thank you
PSYCHO15rus [73]

Answer:

Exact form: 8\sqrt[4]{8}

Decimal form: 13.45434264......


Hoped I Helped



4 0
3 years ago
A car moved at a speed of 90km/hr for 3 minutes.What distance did it cover?​
aniked [119]

Answer:

270kilometers

Step-by-step explanation:

To find the distance, all you have to do is the speed · time

In these types of distance time and word problems, you multiply the other factors, 90 and 3, The time(T) · The speed(S)

So. 90(S) · 3(T) = 270(D)

5 0
3 years ago
How can i solve (-4,7) , (-6,-4)
pishuonlain [190]

Answer:

(-6) - 7 and -6 - (-4)

Step-by-step explanation:

you have to find the rate of change.

this equals -13/4=3.25

5 0
3 years ago
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