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
Helen [10]
3 years ago
11

Henry hoards a hundred hens. Every day, each hen lays an egg with probability 0.8 independently of all others. Henry sells each

egg for 3 cents, except that on half the days, his dog Barkie breaks half the eggs laid that day (and 1.5 eggs is as sellable as 1), and on the remaining half of the days, Barkie breaks 30 eggs. What is the probability that Henry makes more than a $1.30 today

Mathematics
1 answer:
BigorU [14]3 years ago
4 0

Answer:

99.27%

Step-by-step explanation:

We have to:

sample size (n) = 100

p = 0.8

1 egg = 3 * 0.01 = 0.03

eggs = 100 - 30 broken eggs = 70

Let's find the probability of winning more than $ 1.30 today:

p (x> 1.30) = p (z, (x -m) / sd)

average earnings:

per day would be:

m1 = 100 / 1.5 * 0.8 * 0.03

m1 = 1.6

sd1 = (m1 * (1 - p)) ^ (1/2) = (1.6 * (1 - 0.8)) ^ (1/2)

sd1 = 0.566

earnings for broken eggs:

m2 = 70 * 0.8 * 0.03

m2 = 1.68

sd2 = (m2 * (1 - p)) ^ (1/2) = (1.68 * (1 - 0.8)) ^ (1/2)

sd2 = 0.58

Now the total profit would be:

m = m1 + m2 = 1.6 + 1.68

m = 3.28

sd = sd1 ^ 2 + sd2 ^ 2 = 0.566 ^ 2 + 0.58 ^ 2

sd = 0.81

now yes, replacing:

p (x> 1.30) = p (z> (1.3 - 3.28) /0.81)

p (x> 1.30) = p (z> -2.44)

for this z = 0.0073

Therefore the probability would be:

1 - 0.0073 = 0.9927

That is, we would have a 99.27% probability of achieving the goal.

You might be interested in
To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches. He
Mrrafil [7]

Express all possible lengths for this scrap as a compound inequality will be L ≤ 24.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches.

⇒ 3/4 x 32

⇒ 24

He already has a 48-inch pipe.

Let the variable L represents the length of the extra (scrap) that is removed from the 48-inch pipe will be

Then express all possible lengths for this scrap as a compound inequality will be

L + 24 ≤ 48

       L ≤ 48 - 24

       L ≤ 24

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
Jenna and Mike are given two points of a triangle, A(-2,-4) and B(8,6).
Taya2010 [7]

Answer: B) neither Jenna and Mike are correct.

Step-by-step explanation: If you calculate the distance between points B and A, then the points that Mike and Jenna gave, all of the sides would be different.

4 0
1 year ago
Use the number line to find the difference of 3 - (-1.5)
ololo11 [35]

your answer is 4.5 you're welcome :-)

5 0
2 years ago
Read 2 more answers
Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x
defon
An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3 
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>
5 0
3 years ago
An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and
Colt1911 [192]

Answer: V = 8x^3-80x^3 +200x

Domain 0<x<5

Step-by-step explanation:

Dimension of cardboard = 10 by 10

Let the length of box = 10-2x

Let the width of box = 10 - 2x

Let the height of box be =x

Volume = l×w×h

V = (10-2x)×(10-2x)×x

V= 100 - 40x +42 × x

V= 8x^3 -80x^2 +200x

8 0
3 years ago
Other questions:
  • What’s the percent of change of 100 acres to 140 acres
    11·1 answer
  • The numbers 9, 40, and c are a Pythagorean triple. What is the value of c?
    15·1 answer
  • PLEASE HELP ME !!!!!!!!!!!!!!!!!<br>LET ME KNOW IF ITS RIGHT
    11·1 answer
  • 06.10 Module Six Practice Test
    8·1 answer
  • A contractor purchases 22 doors and 9 were brown. If he purchased 1,078
    14·1 answer
  • SSSSSSS
    8·1 answer
  • Exercise 8.12 introduces data on the average monthly temperature during the month babies rst try to crawl (about 6 months after
    11·1 answer
  • Reasoning find the value of x in the figure. Use pencil and paper. Explain how you know your answer is reasonable.
    9·1 answer
  • Jada asked some students at her school how many hours they spent watching television last week, to the nearest hour. Here are a
    11·1 answer
  • Find GCF of 40 and 120​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!