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
Charra [1.4K]
3 years ago
8

An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

, then the probability of renting no more than 1 apartment in a week is:_________
Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

You might be interested in
if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x
svetoff [14.1K]

Answer:

x = 7

Step-by-step explanation:

Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.

So basically 4x + 4 = 32... x = 7

4 0
3 years ago
Read 2 more answers
Which equation can be used to find 60 percent of 50?
zavuch27 [327]
The first one

I believe
3 0
3 years ago
Read 2 more answers
Someone pls just comment something​
hichkok12 [17]

Answer:

Eleventeen

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME PLEASE!!!!!!!!
tester [92]

Answer:

length measure of Pillow  = 1.4 m

Step-by-step explanation:

Volume of Wedge = (area of base triangle) * length

Volume of Wedge = (1/2) * base * height  * Length

base = 1 m

height = 0.5 m

Length = L m

Volume = 0.35 m³

=> (1/2) * 1 * 0.5 * L  = 0.35

=> (0.5/2)L = 0.35

=> (0.5/2)L * 2 = 0.35 * 2

=> 0.5L * 2 = 0.7

=> 0.5L / 0.5 = 0.7 / 0.5

=> L = 1.4

Learn more about Volume here: https://brainly.in/question/13396657

5 0
2 years ago
What does Draw and shade a figure that represents 100%. Label your 100%. Then describe the figure in words.
enot [183]
<span><span>In most statistical models to represent easy percentages, circle is mostly preferred. It is purposefully designed or rather allotted for functions that included 100%. A pie chart in technical terms. Imagine an uneaten cake would represent a 100%. </span></span>In most case scenarios, when you eat one slice of the cake. You take a portion that decreases it 100% or a whole presentation, for instance you took 25% slice of cake, what’s left will be 75% and then when you put back again, the 25% slice will present the whole 100%. In words, 25% slice of a cake you take, what’s left will just a portion 75% and unless you put it back it will be whole again.




6 0
3 years ago
Other questions:
  • Factor the binomial completely. If cannot be factored put a P for Prime.<br><br> 3m^3+192
    6·1 answer
  • HELP!
    14·1 answer
  • 2. 45 is divisible by which of the following numbers? (1 point)
    5·1 answer
  • What is the quotient of the division below?<br> 9) 2599<br> 288.7<br> 288.7<br> 288.8<br> 288.8
    13·1 answer
  • Find the surface area of the prism 8mm 13mm 7mm
    9·1 answer
  • In AFGH, h = 9.6 inches, f = 2.5 inches and 2G=78°. Find the length of g, to the
    8·1 answer
  • What’s -4/5 divided by 2
    10·2 answers
  • Please answer ASAP it’s due at 11:59 online vibes lol
    14·2 answers
  • If UW=4t-16 and UY=t+14, find UY in Rhombus VWXY
    10·1 answer
  • Darrin tosses a quarter and a penny 20 times. He gets heads on both coins twice. Compare the theoretical probability of getting
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!