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
Nookie1986 [14]
3 years ago
13

A farm categorizes its chickens into 3 classes according to the weight: small, medium, andbig. For any chicken in this farm, the

distribution of the weight (denoted byW) follows a GaussianPDF with mean 3.8 lb and standard deviation 0.6 lb. The categories follow the following rule
small: W <= 3.5lb
medium: 3.5 <= 4.9lb
Large: W > 4.9lb

Required:
a. What are the probabilities that a chicken is in the classes of small, medium, and large, respectively?
b. Find c such that PW < c = 0.6.
c. Suppose that 5 chickens are selected at random. What is the probability that 3 out of the 5 will be small?
Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

A) P ( chicken is small ) = 0.3085,  P ( chicken is medium ) = 0.6621

   P (chicken is large ) = 0.0294

B) C = 3.9233

C) 0.1404

Step-by-step explanation:

A) Probabilities

i) P ( chicken is small )

 P( w ≤ 3.5 ) = Fw ( 3 .5 )

                    = F ( 3.5 - 3.8 / 0.6 )

                    = F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]

                    = 1 - 0.6915 ( from Table )

                    = 0.3085

ii) P ( chicken is medium )

  P ( 3.5 < w < 4.9 )

  P ( w < 4.9 ) - P ( w < 3.5 )

= Fw ( 4.9 ) - Fw ( 3.5 )

= F ( 4.9 - 3.8 / 0.6 ) - 0.3085

= 0.9706 - 0.3085 = 0.6621  

iii) P (chicken is large )

= P ( w > 4.9 )

= 1 - P ( w < 4.9 )

= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294

B) Find c

Given:  P( w < c ) = 0.6

Fw ( c ) = 0.6

F ( c - 3.8 / 0.6 ) = 0.6

c - 3.8 / 0.6 = 0.2055 ( from table )

∴C = 3.9233

C) P ( 3 out of 5 = small )

P ( 3 of 5 = small ) = 0.1404

<em>attached below is a detailed solution</em>

You might be interested in
In shop class, you make a table. The sides of the table measure 36" and 18". If the diagonal of the table measures 43", is the t
Lunna [17]

Answer: 75

Step-by-step explanation: took test and got it right. this is not fake like other people

5 0
2 years ago
HELP almost due in 5
skad [1K]

Answer:

A, D,F are triangle sides

4 0
3 years ago
What is the value of expression MATH HELP
iris [78.8K]
All of the answer choices that you are given are incorrect. I have calculated it in all different ways and get the same thing and it is none of those. The correct answer would be -75 though.
7 0
3 years ago
3 friends are sharing 1/2 of a blueberry ....how much pie would each friend get
melisa1 [442]

Answer:

each friend would get 1/6 when you divide 1/2 by 3

Step-by-step explanation:

3 0
3 years ago
Helppp nowww plssss!!!
earnstyle [38]

Answer:

A, B, C, D, and E

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What can you say about the discriminant of quadratic equations whose roots are irrational?
    5·1 answer
  • (n - 7) &gt; 2n - 3.<br> Solve for n
    12·2 answers
  • How can i understand math better?
    10·1 answer
  • I've searched everywhere and still don't have the answer!
    8·1 answer
  • The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the
    14·1 answer
  • The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
    12·1 answer
  • Gaby has a total of 36 coins in her piggy bank. If the only coins in the bank are nickels and quarters, and add up
    9·1 answer
  • can I please get a labeled homework help im confused and last thing please don't make to much long equation because I cant do so
    15·1 answer
  • What do the slop and y intercept represent
    9·1 answer
  • Suppose City A is 50.2 km east of City B. City C is 124.4 km east of City B. How far apart are City A and City​ C?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!