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
zzz [600]
3 years ago
11

An insurance company determines that the number of claims received in a week follows a Poisson distribution. The probability tha

t the insurance company receives at most one claim in a week is 5/13 times the probability that the insurance company receives at most two claims in a week. Calculate the probability that
Mathematics
1 answer:
stira [4]3 years ago
4 0

This question is incomplete, the complete question is;

An insurance company determines that the number of claims received in a week follows a Poisson distribution. The probability that the insurance company receives at most one claim in a week is 5/13 times the probability that the insurance company receives at most two claims in a week.

Calculate the probability that the insurance company receives four claims in a week.

Answer:

the probability that the insurance company receives four claims in a week is 0.1954

Step-by-step explanation:

P(at most one claim) = P(X ≤ 1)

and

P(at most two claims) = P(X ≤ 2)

for P(X ≤ 1) = (5/13) × P(X ≤ 2)  

P(X ≤ 1 ) = (5/13) × (P(X ≤ 1) + P(X = 2))

(8/13) × P(X ≤ 1) = (5/13) × P(X = 2)

8 × ( e^(-λ) λ⁰ / 0! + e^(-λ)λ₁/1! ) = 5 × (e^(-λ)λ²/2!

16( 1 + λ ) = 5 × λ²

5 × λ²- 16 × λ - 16 = 0

λ = 4

Therefore the probability that the insurance company receives four claims in a week is P(X = 4) =e⁻⁴4⁴/4! = 0.1954

You might be interested in
All of the following ratios are equivalent except _____. Answers
const2013 [10]

Divide all the ratios and compare:

8/12 = 0.666

15/10 = 1.5

2/3 = 0.666

6/9 = 0.666

The one that isn't equivalent is 15 over 10

3 0
3 years ago
Read 2 more answers
Which will help you when you file a claim for home insurance?
tester [92]

Answer:

C. Home inventory

Step-by-step explanation:

8 0
2 years ago
Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.
ivolga24 [154]

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

6 0
3 years ago
Solve the equation.<br> -6b + 4 + 4b = -3b + 9
klemol [59]

Answer:

b=5..............is the answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • Corey spent $17.00 including sales tax on 2 sandwiches and 3 drinks the sandwiches cost $5.25 each and the total sales tax was $
    5·2 answers
  • What's the greatest common factor of 45,9,63
    12·2 answers
  • Solve for x<br><img src="https://tex.z-dn.net/?f=3%28x%20%2B%201%29%20%3D%205%28x%20-%202%29%20%2B%207" id="TexFormula1" title="
    5·2 answers
  • Can someone please help me answer this question ASAP.
    5·1 answer
  • Solve the equation<br><img src="https://tex.z-dn.net/?f=16%20%20%7B%7D%5E%7B2x%20-%203%7D%20%3D%208%20%7B%7D%5E%7B4x%7D%20" id="
    15·1 answer
  • Determine the distance between -7 and 7
    12·1 answer
  • Find each value or measure. Assume that segments that appear to be tangent are tangent.
    5·1 answer
  • The area of the triangle below is 2/5 square foot. What is the length in feet of the base of the triangle?
    9·1 answer
  • A 40 litres pail of paint costs $34. How much does 1 litre of paint cost?
    13·1 answer
  • Four men take 6 days to complete a certain work. Find the number of men needed to complete the same work in 8 days
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!