Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.

So converting 14 into minutes will give $\frac{14}{60}$ =0.233

Let X=inter-arrival time between two customers

and here $\lambda$ = 0.233

Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)

Now the Poisson distribution has PDF = $\frac{\exp ^{-\lambda }\times \lambda ^{X}}{X!}$

So P(X = 0) = $\frac{\exp ^{-0.233}\times 0.233^{0}}{0!}$ = 0.79215

P(X= 1) = $\frac{\exp ^{-0.233}\times 0.233^{1}}{1!}$ = 0.18457

P(X=2) = $\frac{\exp ^{-0.233}\times 0.233^{2}}{2!}$ = 0.02150

Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822

3 0

3 years ago

What can you simplify 90/120 to and how?

Leni [432]

Answer:

The answer is 3/4

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

~Brainiliest, please?~

3 0

3 years ago

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A story about the doubles plus 2 fact 5+7

miss Akunina [59]

The answer is 12 because 5+7=12

8 0

3 years ago

What is the value for X??? WILL GIVE BRAINLIEST!!!

nexus9112 [7]

Answer:

x = 1.5

Step-by-step explanation:

First, we distribute (get rid of parentheses):

6x - 3 - 3x = 5 - x - 2

Then, we simplify:

3x - 3 = 3 - x

Then, we combine like terms:

3x + x = 3 + 3

Then, we simplify again:

4x + 6

Finally, we divide 4 on both sides:

We got x = 1.5

Hope this helps!

6 0

3 years ago

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