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

84 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 probability of drawing 2 red balls from a bag containing 5 red balls and 10 blue balls?

Question: Solve the equation for x: 3^x = 81, and graph the corresponding exponential function.

What is the component form of a unit vector in the opposite direction to vector v = i + 2j - 3k?

New questions in Mathematics

Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?

A circular park has a diameter of 150ft. A circular fence is to be placed on the edge of this park. Calculate the cost of fencing this park if the rate charged is $7 per foot. Use π = 3.14.

10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?

(x^2+3x)/(x^2-9)=

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?

2.3/-71.32