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
poizon [28]
3 years ago
8

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 4.

3 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. What is the probability Linda Lahey, company president, received exactly 4 non-work-related e-mails between 4 P.M. and 5 P.M. yesterday? (Round your probability to 4 decimal places.) What is the probability she received 7 or more non-work-related e-mails during the same period? (Round your probability to 4 decimal places.) What is the probability she received three or less non-work-related e-mails during the period? (Round your probability to 4 decimal places.)
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

P(4 non-work-related e-mails)=0.1933

P(7 or more non-work-related e-mails)=0.1442

P(3 or less non-work-related e-mails)=0.3771

Step-by-step explanation:

A Poisson distribution is useful to measure the probability of a number of events in a given period, in this problem, receiving a non-work-related e-mail would be the event and an hour would be the period of time.

Its probability mass function is f(k; \lambda) = P(x=k) = \frac{\lambda^k e^{-\lambda}}{k!}, being k the number of events and  λ how many sucesses (events) are per period of time (4.3 in this case)

First, we calculate what is the probability of receiving exactly 4 e-mails:

f(k; \lambda) =P(k=4) =\frac{4.3^4 e^{-\4.3}}{4!}=0.1933

As k is a discrete variable, to know the joint probability of different number of events we add the probability of each value.

The probability of receiving 7 or more is the sum of P(7), P(8), ..., P(∞):

P(k\geq 7 ) =\sum_{i=7}^{\infty}\frac{4.3^i e^{-\4.3}}{i!}=0.1442

Last, the probability of receiving 3 or less is the sum of P(0), P(1), P(2) and P(3):

P(k\leq3 ) =\sum_{i=0}^{3}\frac{4.3^i e^{-\4.3}}{i!}=0.3771

You might be interested in
-10(1 - 9x) + 6(x - 10) <br> Pics pls
Galina-37 [17]

Answer:

  • \boxed{\sf{96x-70}}}

Step-by-step explanation:

Use the distributive property.

<h3>What is a distributive property?</h3>

Distributive property is a serving to distribute or allot or disperse.

<u>Distributive property:</u>

A(B+C)=AB+AC

A(B-C)=AB-AC

-10(1-9x)+6(x-10)

<u>Expand.</u>

-10(1-9x)

-10*1=-10

-10*9x=90x

\longrightarrow \sf{=-10+90x+6\left(x-10\right)}}

6(x-10)

6*x=6x

6*10=60

6x-60

<u>Rewrite the problem down.</u>

= -10+90x+6x-60

<u>Combine like terms.</u>

90x+6x-10-60

<u>Add the numbers from left to right.</u>

90x+6x=96x

96x-10-60

<u>Finally, subtract the numbers from left to right.</u>

-10-60=-70

\Longrightarrow \boxed{\sf{96x-70}}

Therefore, the final answer is<u> 96x-70.</u>

I hope this helps, let me know if you have any questions.

To learn more about distributive property:

brainly.com/question/2807928

#SPJ1

3 0
1 year ago
Read 2 more answers
45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elem
Anit [1.1K]

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n(\frac{45}{100}) = 54

→ 45n = 5400

→ n = 120

3 0
3 years ago
Read 2 more answers
I need help again help me pllsssssss
notka56 [123]

Answer: you end up at (2,2)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A game field is 360 feet long. The practice field is 2/5 shorter than the practice field. How long is the game field?feet
vlabodo [156]

Answer:

The practice field is 144 feet long.

Step-by-step explanation:

360 x 2/5 = 144

(You would multiply these numbers NOT divide!)

To check my math:

2/5 = 0.4

144/360 = 0.4

By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.

4 0
3 years ago
HELP PLEASE !!!!!!!!
Paul [167]

Answer:

1. spends $80

2. Each garlic bread costs the same

3. Orders a pizza for 25.50 and two garlic breads

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The owner of an electronics store received a shipment of MP3 players at a cost of 64.25 each. If he sells the MP3 players for 99
    9·1 answer
  • What is abortion???????????????
    14·2 answers
  • 2-1 <br><br> i need answer for this asappppppppppppppppppppppppppppppppppppp
    5·2 answers
  • What is the scale factor of triangle ABC to triangle DEF? A. 1/3 B. 1/2 C. 3 D. 2
    11·1 answer
  • lan wants to write the number 100000 using a base of 10 and an exponent what number should he use as the exponent
    6·1 answer
  • Helppppppp meeeeeeeee​
    5·1 answer
  • Parallelograms s and t are each labeled with a base and a corresponding height
    11·1 answer
  • Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
    12·1 answer
  • Please can someone solve this
    13·1 answer
  • What is 95% of 40?part. ___ = ___. percentwhole. 100 percent
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!