Question

Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

217

likes
1084 views

Answer to a math question Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

Expert avatar
Tiffany
4.5
57 Answers
To determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years, we need to calculate the probability of a horse being less than or equal to 3 years old given that it tested positive for equine infectious anemia (EIA). Let's denote X as the age of a positive horse. We know that X follows a normal distribution with a mean (μ) of 5 years and a standard deviation (σ) of 1.5 years. To find the probability of a positive horse being less than or equal to 3 years old, we need to calculate the z-score corresponding to the age of 3 years using the formula: z = (X - μ) / σ z = (3 - 5) / 1.5 z = -2 / 1.5 z = -1.3333 Now, we can use a standard normal distribution table or a calculator to find the probability corresponding to the z-score of -1.3333. Using a standard normal distribution table or a calculator, we find that the probability is approximately 0.0918. To calculate the expected number of AIE-positive horses aged less than or equal to 3 years, we multiply the probability by the total number of AIE-positive horses: Expected number = Probability * Total number Expected number = 0.0918 * 6199 Expected number ≈ 569.0682 Therefore, the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years is approximately 568.7242. Rounded to four decimal places, the answer is 569.0682

Frequently asked questions (FAQs)
Math question: Find the basis of vectors in ℝ³ formed by (3, -1, 0) and (1, 2, 4).
+
What is 20% of 250?
+
What is the product of 17 multiplied by 83?
+
New questions in Mathematics
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
How do you think the company has increased or decreased its income?
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
-3x 2y = -6; -5x 10y = 30
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?
solve for x 50x+ 120 (176-x)= 17340
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
If A and B are any events, the property that is not always true is: a) 0 ≤ 𝑃(𝐴 ∩ 𝐵) ≤ 1 b) 𝑃(Ω) = 1 c) 𝑃(𝐵) = 1 − 𝑃(𝐵𝑐) d) 𝑃(∅) = 0 e) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?
Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3
Calculate the difference between 407 and 27
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?
Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.
Write decimal as the fraction 81/125 simplified