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
scoray [572]
3 years ago
8

In western Kansas, the summer density of hailstorms is estimated at about 2.6 storms per 5 square miles. In most cases, a hailst

orm damages only a relatively small area in a square mile. A crop insurance company has insured a tract of 8 square miles of Kansas wheat land against hail damage. Let r be a random variable that represents the number of hailstorms this summer in the 8-square-mile tract.
(a) Explain why a Poisson probability distribution is appropriate for r.

Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent.Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent.Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent.



What is λ for the 8-square-mile tract of land? Round λ to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities.


(b) If there already have been two hailstorms this summer, what is the probability that there will be a total of four or more hailstorms in this tract of land? Compute P(r≥ 4 | r ≥ 2). (Use 4 decimal places.)


(c) If there already have been three hailstorms this summer, what is the probability that there will be a total of fewer than six hailstorms? Compute P(r < 6 | r ≥ 3). (Use 4 decimal places.)
Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

Step-by-step explanation:

mean for 5 square miles is 2.6 storms

mean for 9 square miles is \frac{2.6}{5}\times 8=4.16=4.2\\\\P(r\geq4|r\geq 2)=\frac{P(r\geq 4nr\geq 2 }{P(r\geq 2)}\\\\=\frac{P(r\geq 4)}{P(r\geq 2)}=0.6557\\\\\\P(r\geq 6|r\geq 3)=\frac{P(r\geq 6nr\geq 3 }{P(r\geq 3)}\\\\=\frac{P(3)+P(4)+P(5)}{1-P(r\geq 2)}\\\\=\frac{0.542905}{0.789762}=0.6874

You might be interested in
a restaurant is buying vinegar in bulk to make pickles 2 gallons of vinegar costs $3.00. which ratio correctly represents the pr
quester [9]

Answer:1/1:50$

Step-by-step explanation:For two gallons it cost 3:00 dollars for two gallons so divide by two and you get 1 gallon for 1.50$

3 0
2 years ago
If the current temperature is 23∘ C, what is the temperature in degrees Fahrenheit?
den301095 [7]

Answer:

73.4

Step-by-step explanation: Multiply you celsius by 9. Then take that number then by 9. then add by 32

4 0
3 years ago
What is 17 less than a number g?
Sophie [7]
I hope this helps you




17-g
8 0
3 years ago
Read 2 more answers
Can someone please help me
pentagon [3]
The first one is 8 and here's a graph. the second one is 5 again here's a graph

7 0
3 years ago
Read 2 more answers
How far is the little guy from the flagpole (assuming a right angle between the flagpole and the ground)? Explain how you got yo
Naya [18.7K]

Answer:

b = 9 ft

Step-by-step explanation:

Pythagorean Theorem:

a^2 + b ^2 = c^2

Given:

a = 12

b = ?

c = 15

Plug in values:

12^2 + b^2 = 12^2

Solve for b^2:

b^2 = 15^2 - 12^2

b^2 = 225 - 144

b^2 = 81

Take square root of both sides to find b:

sqrt(b^2) = sqrt(81)

b = 9


Hope this helps! :)

7 0
3 years ago
Other questions:
  • A yogurt costs 35 pence. How many yogurts can be bought with 3 pounds?
    7·1 answer
  • A banana has a mass of 122 g. Explain how to find the mass of the banana in milligrams?
    12·2 answers
  • Math ..................
    14·2 answers
  • An agent makes 16% commission on an athlete's signing bonus. If the bonus is $26,000
    6·1 answer
  • If one class collected 65 cans for the food drive and another class collected 176 cans, how many cans did the two classes collec
    8·2 answers
  • Which compound inequality is equivalent to |ax-b|&gt;c for all real numbers a, b, and c, where c&gt;0
    10·2 answers
  • Isabella purchased a TV for $200. Eight months later, the same TV was selling for $160. What was the percent of DECREASE in the
    6·1 answer
  • Please answer a little quiet<br>IT is urgent<br><br>.Factorize: 4(x-y)^2 -9 <br>.Evaluate : 1001×99​
    9·1 answer
  • a can do.a piece of work in 6 days and B in 8 days each working 7hours a day In what time will they finish it together, working
    14·1 answer
  • 9f^2–10– 1+2f^2+ – 7f^2<br><br> (NO LINKS)<br> (LINKS WILL BE REPORTED)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!