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
I was wondering if someone could help me out, I’m not to sure how to answer this, I thought it was just adding the exponents sin
Harman [31]

Answer:

(1/2)^14

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Helppppp me pleaseeeee
Andreyy89

Answer:

314- The unknown digit is 1

Step-by-step explanation:

16*314=5024

5024/16=314

Hope this helps ;) ❤❤❤

5 0
3 years ago
Read 2 more answers
Ms lee is handing out wristbands as students enter the dance. There are 40 black , 20 yellow, 25 orange, and 15 purple wristband
CaHeK987 [17]
Answer is: 4% chance of a orange
4 0
3 years ago
Read 2 more answers
A baseball player hit 57 home runs in a season. Of the 57 home​ runs, 15 went to right​ field, 20 went to right center​ field, 1
Sidana [21]

Place the part (amount going to the left field), over the total amount of homerun:

(a) 2/57 is your probability

(b) Divide 2/57

2/57 = 0.035, or 3.5%

YES, it is unusual for this player to hit a home run to left field, for he only has a 3.5% chance.

hope this helps

8 0
3 years ago
PLS HELP! WILL GIVE BRAINLIEST!
OLga [1]

Answer:

the 4th one

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help with any of these please ! Or<br> All I will mark brainlest
    5·1 answer
  • Expressions equivalent to 7(-3/4x-3)
    9·1 answer
  • Here is a math problem that i need help with...ASAP!!!<br> It is attached. THANKS A BUNCH!!!
    15·1 answer
  • I need help urgent<br><br> log10 10² =<br><br> -2<br> 1<br> 2
    9·1 answer
  • Market so seven oranges for $2.45 how much would 8 oranges cost
    14·1 answer
  • Find the difference between the result of one sixth of product of 10 and 3 multiplied by 4 and 30
    7·1 answer
  • 20% of all the children in a class are left handed.
    6·1 answer
  • 3) -2x – 3y = -7<br> -4x + y = 21<br> A) (-8, 4)<br> C) (2, 4)<br> B) (-4,5)<br> D) No solution
    9·1 answer
  • Which is greater 6/11 or 5/9 or are they equal?
    6·2 answers
  • A circle has a radius r which is a positive integer. If the circumference of the circle divided by the area of the circle is a p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!