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
A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to t
zzz [600]

Answer:

Step-by-step explanation:

D)hope it helpef

8 0
3 years ago
So how do i so how do I solve to get this answer ​
Elina [12.6K]

Step-by-step explanation:

First, You would solve what you can which would be the equation on the left Which will get you 4096. After that its just solving for P

4096=(4^p)^2

64=4^p  (you would take the square root of 4096 to get 64)

Then, Since 64 is a perfect Cube root of 4, P will equal 3

(Please award this Brainliest and Thank the skeleton in your closet)

8 0
3 years ago
7th Grade
Furkat [3]
The answer was is : The foot ball player is at school for 12 hours, I got this answer by multiplying 3 hours by 4 since 3 hours is a quarter and 4 quarters make up 100%.
7 0
3 years ago
I need help with this please ASAP!!!
kaheart [24]

Answer:

B and c

Step-by-step explanation:

6 0
2 years ago
A 3-pack of movie tickets costs $20.55. What is the unit price?
liraira [26]
Unit price is the cost of a single ticket.

 To find the unit price, divide the total cost by the number of tickets:

20.55 / 3 = $6.85 each.
6 0
2 years ago
Other questions:
  • Question #19- Use the answer bank below to fill in missing parts of the proof.
    15·1 answer
  • Can someone help please!! i’ll give brainliest
    7·1 answer
  • The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 mi
    12·1 answer
  • If x + 3y = 7 and y = 2, then x equals
    8·2 answers
  • What is the range of the following data values?
    8·2 answers
  • Find the percentage of the following:<br>20/60<br>18/60<br>21/60<br>31/60​
    11·2 answers
  • mr.brown has 40 students in his class. this is 6 more students than mr.green how many students does mr.green have? choose the co
    14·2 answers
  • Pls help ill give brainly
    15·2 answers
  • Pls bro i need help asap
    15·1 answer
  • Pablo made $357 for 17 hours of work.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!