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
antoniya [11.8K]
3 years ago
9

A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

laim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

You might be interested in
john paid $99 for one algebra book and two geometry book. the cost of a geometry book is $3 less than a algebra book. substituti
tia_tia [17]

Answer:

A=34, G=31

Step-by-step explanation:

G=A-3

2G+A=99

plug in for g 2(A-3)+A=99

distribute 2 A-3+A=99

combine like terms 3A-3=99

solve for a 3A=102 A=34

plug in a solve for g G=34-3 G=31

5 0
3 years ago
Vanessa is cutting 200 centimeter long pieces of string to attach to balloons how many pieces can she cut from 40 m of string.
Ainat [17]
200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces
8 0
3 years ago
A rectangular table is fivetimes as long as it is wide. if the area is 80ftsquared​,find the length and the width of the table.
SOVA2 [1]
A = L * W
A = 80
L = 5W

80 = W(5W)
80 = 5W^2
80/5 = W^2
16 = W^2
sqrt 16 = W
4 = W <=== width is 4 ft

L = 5W
L = 5(4)
L = 20 <=== length is 20 ft
3 0
2 years ago
A line passes through the point (4 , 2) and has a slope of 5/4
lidiya [134]
Y - 2 = 5/4 ( x - 4 )

or 

y = 5x/4 - 3
6 0
3 years ago
Mark went to costco and bought 12 cans of albacore for $15.96. what is the cost per can?
Law Incorporation [45]

Answer:

$1.33

Step-by-step explanation:

15.96 divided by 12 = $1.33

3 0
3 years ago
Other questions:
  • Charley Davis is 1/4 as old as his father. The sum of their ages is 45. How old is each person?
    13·1 answer
  • A hot air balloon rises at a rate of 38 km/h and starts at the height of 60 km. Another balloon started from the ground and is r
    13·1 answer
  • All the letters in the word
    6·2 answers
  • ( 10.2 -1)+(5.2 48 -8)
    7·1 answer
  • 17. Find the ratio of the perimeter to the area of the square shown.<br> x + 3<br> x + 3
    9·1 answer
  • Can someone help me with this please? It's due tomorrow
    11·2 answers
  • Please help me I will give 12 points
    6·2 answers
  • A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for Pi.
    14·1 answer
  • How many times does the 8 fit into the 83
    9·2 answers
  • Divide.<br> 123 : 5 <br> remainder
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!