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
Aleks [24]
3 years ago
15

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly

. One hundred fields in this area are randomly selected and checked for whitefly.
Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.
Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

You might be interested in
PLEASE GIVE ME A VALID ANSWER IM GIVING ALOT OF POINTS!
Lelechka [254]

Answer:

Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot

And plug in 7 hours to the equation  4*7+14*7=126 divide that by 2 and the distance is 63

8 0
3 years ago
write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2
Ann [662]

The area of the rectangle is 5x^{2} -18x-8

Explanation:

One side of the rectangle is x-4

The another side of the rectangle is 5x+2

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}

Thus, the area of the rectangle is 5x^{2} -18x-8

3 0
3 years ago
Read 2 more answers
Graph F<br> Distance<br> from Home<br> Time<br><br> Is this graph functional?
KengaRu [80]

Answer:

what graph????

6 0
2 years ago
What is the solution to this equation?
Ugo [173]

Answer:

C. x = 12

Step-by-step explanation:

5(12) + 9 = 69 - 3(12) = 33

18 + 15 = 33

6 0
2 years ago
Read 2 more answers
You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth.
exis [7]

Answer:

5 is the factor of 10. 5% of 10

6 0
3 years ago
Other questions:
  • What is 20(-x+1) divided by 2
    7·1 answer
  • -m - 7/8 = -10<br> find m.
    11·2 answers
  • . Use π ≈ 3.14 to estimate the circumference of the circle.
    15·2 answers
  • 2x-y=4<br><br> X and y intercept?
    5·2 answers
  • Len
    10·1 answer
  • No more sad hacker noises....FREE HUGS!!!!!
    7·1 answer
  • How many minutes are there in 3 hours and 53 minutes
    6·2 answers
  • Please help me with this problem
    7·1 answer
  • The probability of meeting a random person who has the same birthday as you is365• whichis approximately 0.27%. What is the prob
    8·1 answer
  • Find the length of the third side. If necessary, write in simplest radical form.DV895
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!