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
102 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)
What is the period of the trigonometric function f(x) = 3sin(2x) - 4cos(4x)?
+
What is the formula for calculating the sample mean of a data set?
+
Question: How many different combinations can be made using 5 distinct letters from the alphabet?
+
New questions in Mathematics
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
9b^2-6b-5
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?
Pedro had 80% of the amount needed to buy a game. Of this amount, you spent 15% on a watch and therefore, you will need to add another R$640.00 to purchase this game. Is the value of the game?
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
The following table shows the frequency of care for some animal species in a center specializing in veterinary dentistry. Species % Dog 52.8 Cat 19.2 Chinchilla 14.4 Marmoset 6.2 Consider that the center only serves 10 animals per week. For a given week, what is the probability that at least two are not dogs? ATTENTION: Provide the answer to exactly FOUR decimal places
A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
9.25=2pi r solve for r
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
2x-5-x+2=5x-11
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?
The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).