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
Expression A: (2k + 8) + (5k + 10)
Dmitriy789 [7]

k = 3

Expression A:

(2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39

Expression B:

76 + 18= 94

5 0
2 years ago
Help me please answer thanks
lara31 [8.8K]
Answer: (2,4)


Explanation: I hope this is what the question is asking for because I am in 9th grade hope this helps and I hope I am right
3 0
3 years ago
Which pair of expressions are equivalent?
Zielflug [23.3K]

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

4 0
2 years ago
An inequality is shown below.
34kurt

Answer:

i think its b !!

Step-by-step explanation:

3 0
2 years ago
Statement: All equilateral triangles are congruent by SSS congruence. Is the statement true? Why or why not?
GuDViN [60]
False, An example would be an equilateral triangle with 3 sides of 3 inches,  and another with three sides of 5 inches. They will be similar but not congruent because their sides differ. because the sides and volumes differ they will not be congruent.
5 0
3 years ago
Other questions:
  • Svetlana's hair is 4 cm long. Her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long. Write an ineq
    12·2 answers
  • When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction
    11·2 answers
  • How do you rewrite y+4=-2(x-1) in slope-intercept form
    10·2 answers
  • M=3 6=-8 what is the answer really need help
    7·1 answer
  • Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a functio
    5·2 answers
  • The quotient of 3 times a number "x" and 2 less 3 times the square of "x"​
    10·1 answer
  • b is the midpoint of ac, d is the midpoint of ce, bd=3x, and ae=60. find tye length of ab if ac= 5x+10
    8·1 answer
  • a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number​
    15·1 answer
  • Determine the equation of the line that has a slope of 8 and has a y-intercept of -9
    13·1 answer
  • 45-45-90 triangúlese shown<br><br> Help please <br><br><br> Will give u points
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!