1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alborosie
2 years ago
9

The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.

Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

You might be interested in
Which of the following points is a solution of the system shown? x + y ≥ 6 x ≥ 4 a.(-1, 7) b.(4, -2) c.(4, 2)
Kobotan [32]
I know none of these are actually the answer but odysseyware gave me credit for
(4,2)
8 0
3 years ago
Read 2 more answers
1. What does it mean for a number to have a variable at the end of it? (i.e 1.6x)
miskamm [114]

Answer:

1. 1.6x has a variable which means an unknown number

2. 5 more than 0.10 times a number

Step-by-step explanation:

A variable is an unknown number represented by a letter. It provides a way to write a relationship in the real world without knowing all the values involved, 1.6x means 1.6 times an unknown number mathematically. A real world example would be a percent growth of 60% on an unknown price - 1.6x.

5 + 0.10x means 5 more than 0.10 times an unknown number. A real world example here would be "10% off a sale plus $5 coupon". We don't know the price of the item but we do know it is 10% off and we get $5 off. Once we know the price we input it int for x and find the total discount.

8 0
3 years ago
I need help on this one please and just click one the photo for the question please
Mnenie [13.5K]
The answer would be c
8 0
2 years ago
Read 2 more answers
How to solve x+3y=3 and 2x-3y=-12
Sever21 [200]
Get x on one side then you can use substitution
So, change x+3y=3 to x= -3y+3
Then plug in x to other equation to find y
2(-3y +3)-3y=-12
-6y + 6 -3y = -12
-9y = -18
Divide both sides by negative nine to find y
y = 2
Then plug in to original equation to find x
x + 3(2) = 3
x + 6 = 3
x = -3
So, y = 2 and x = -3
3 0
3 years ago
Read 2 more answers
Which is the difference of 6 - (-1).
Savatey [412]
The answer would be 7. The two minus signs cancel each other out and turn into a plus sign.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars.
    12·1 answer
  • If 29 more than 2 times a number is -15, what is the number?<br> -7<br> -22<br> 7<br> 22
    7·1 answer
  • Answer The Factorial (17-12)
    15·1 answer
  • DO NOT KNOW HOW TO SOLVE HELP ASAP
    11·1 answer
  • I need the answers to it please. I'll give 36 points
    6·1 answer
  • Given the figure above, if​
    9·1 answer
  • Another triangle congruent question , it’s in the picture thanks :)
    5·1 answer
  • One of the objectives for this lesson is to find the length of a curve using the z score.
    10·1 answer
  • Pleaseee HELPPPPP!!! WILL GIVE 40 points!!!
    10·2 answers
  • Draw an area model to represent 4x^2+12x+9 = (2x+3)^2. Label the length and width of the whole square and label each individual
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!