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
never [62]
3 years ago
14

In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte

d​ day, he wrote at least one check. The probability is:_______.
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

Therefore,

P(not 0) = 1 - 0.6259 = 0.3741

You might be interested in
16. write an inequality for each graph
Harrizon [31]

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x \geq -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

7 0
3 years ago
Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volu
ollegr [7]

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

6 0
2 years ago
The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter
il63 [147K]
<span>Choices: 30 units ; 20 units ; 15 units ;  7.5 units

Given:
perimeter = 30 units
scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.</span>
6 0
3 years ago
Pls help! Solve the equation by using quadratic formula. <br><br> -2x’2 + 4x = 5
OleMash [197]

Answer:

x=\frac{2\pm i\sqrt{6}}{2}

Step-by-step explanation:

-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}

4 0
2 years ago
part A. logan and his friends love pepperoni pizza. Their parent's bought them one whole pizza to share .logan ate 2/6 of the pi
Vikki [24]
7/22 you add the denominators toghether and add the numerators.
5 0
3 years ago
Other questions:
  • X÷4=6 I need to find x I cant please help need this desperatly
    5·1 answer
  • How do you show 28 X 20 on a visual model (pls show with dots) (ASAP)
    14·1 answer
  • How many square units are in the area of the triangle whose vertices are the x and y intercepts of the curve y = (x-3)^2 (x+2)?
    5·1 answer
  • Solve for x in the diagram below.<br> x 3xº 100°
    14·2 answers
  • 24 pencils cost $1.20, how much will one pencil cost?
    14·1 answer
  • Which hair color is thi hair ?​
    10·1 answer
  • 12-2 one step equations
    5·1 answer
  • What is the volume of the cone?
    14·1 answer
  • Which of these points will lie on quadrant II of a coordinate plane?
    14·1 answer
  • Pls help I don't wanna get a bad grade
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!