Answered: 1% of those aged 15-49 are infected…

1% of those aged 15-49 are infected with HIV. in blood test for HIV 36 blood samples from 36 people are combined. what is the probability that the combined sample tests positve for HIV?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: As a warehouse manager, it is your responsibility to inspect a large shipment of components for…

Q: The assembly line that produces an electronic component of a missile system has historically…

A: 1. The mean number of defective components in a random sample of 800 components is,

Q: In turning out certain toys in a manufacturing process, the average number of defectives is 10%.…

A: From the provided information, Sample size (n) = 10 The average number of defectives is 10% that is…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 The number of female students is 20. The total number of students…

Q: Find the probability of getting 2 to 5 diamonds using normal distribution.

Q: In a dental study on children it was found that the probability of the child population having any…

A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3

Q: ased on historical data, your manager believes that 37% of the company's orders come from first-time…

Q: The power of a test is 0.873. What is the probability of a Type II error?

A: Power of a test is the probability of correctly rejecting H0 that is the null hypothesis and Type 2…

Q: n a genetics experiment on peas, one sample of offspring contained 390 green peas and 141 yellow…

Q: Based on historical data, your manager believes that 44% of the company's orders come from…

A: Obtain the probability that the sample proportion is between 0.22 and 0.33. The probability that…

Q: Migraine medication was administered to patients in that 5% experienced weight gain as a side…

Q: The medication Nealapril is used to lower high blood pressure. It is known to cause headaches in…

A: We have given that, Let X be the random variable from binomial distribution with probability (p)=…

Q: what can be said about the probability of committing a Type II error?

Q: Based on historical data, your manager believes that 32% of the company's orders come from…

A: Given p=0.32n=89 Let the sample proportion be denoted by p^

Q: Based on historical data, your manager believes that 37% of the company's orders come from…

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Given data Probability that light bulb is defective = 0.05 No of bulbs = 10 probability that none…

Q: According to the American Red Cross, 11.9% of all Connecticut residents have Type B blood. A random…

A: Let the random variable X denote the number of Connecticut residents that have Type B blood and it…

Q: n insurance agent knows that 18% of deer-car collision claims are filed in November. Consider a…

Q: Based on historical data, your manager believes that 33% of the company's orders come from…

A: Given: n= Sample size =52p= Probability of population proportion of orders from first time…

Q: Based on historical data, your manager believes that 34% of the company's orders come from…

A: Given that p=0.34(34%) n=78

Q: Based on a poll, 70% of Internet users are more careful about personal information when using a…

A: In this case, each surveyed user is inferred to have only options of being "more careful" (i.e.,…

Q: In an experiment with 49 degrees of freedom, value was found to be 62-7. What is the chance that in…

Q: Suppose a large consignment of televisions contained 11% defectives. If a sample of size 237 is…

Q: The overall defect rate in making an electronic device is also 5%. What is the probability that more…

A: Given information: Let X be the number of defects detected in an electronic device. Then X is a…

Q: an experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in…

Q: What is the probability of observing a z score greater than 3?

A: From the provided information, The z score is greater than 3. That is P (z > 3)

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Given Information No of headache sufferers (n) = 400 Proportion of Headache sufferers who get relief…

Q: An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in…

A: Obtain the probability that the drug is effective on half of the participants. The probability that…

Q: Based on historical data, your manager believes that 32% of the company's orders come from…

A: The probability that the sample proportion is greater than than 0.45 = 0.00352

Q: The probability that an individual is left-handed is 0.20. Let the random variable X be the number…

A: Given, probability that an individual is left handed is, p = 0.20 n = 20

Q: Suppose that 20% of all M&Ms are yellow. We will choose a random sample of 11 M&Ms from this…

A: Let x follows binomial distribution with parameters n = 11 and p = 0.20 The pdf of binomial…

Q: In a study, 42% of adults questioned reported that their health was excellent. A researcher wishes…

A: Let us denote X=the number of people with excellent health.n=sample size=13p=probability of…

Q: An experiment consists in asking 8 people whether they have a college degree, and counting the…

A: Let 0 represents that the individual, answer that they do not have the degree, while 1 represents…

Q: Based on historical data, your manager believes that 34% of the company's orders come from…

A: It is known that, the mean of the sampling distribution of sampling distribution, p-hat is equal to…

Q: Based on historical data, your manager believes that 27% of the company's orders come from…

A: Given that, n=188,p=0.27 The mean of the sampling distribution is, The Standard error of the…

Q: Electric motors are manufactured by a corporation. An electric motor has a 0.02 chance of becoming…

A: X: number of faulty electric motor X has binomial distribution. X~B(n,p) n=300 and p=0.02…

Q: A 2006 Toyota Echo has a mean gas mileage of 32 miles per gallon (mpg) with a standard deviation 5…

A: Given that: X is normally Distributed with mean µ = 32.0 and standard deviation σ = 5.0 By using…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

1% of those aged 15-49 are infected with HIV. in blood test for HIV 36 blood samples from 36 people are combined. what is the probability that the combined sample tests positve for HIV?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 168 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.29 and 0.49?
Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 106 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.3 and 0.45?
If you roll a 10 sided die until you get a 1, what would be the expected value and variance of the resulting probability distribution?
The prevalence of glaucoma in elderly people among high-risk populations within a city is approximately 5%. Suppose a mobile unit is sent to various neighborhoods throughout the city to identify subjects for a new glaucoma study. If the unit evaluates 500 people, what is the probability of identifying at least 20 cases of glaucoma?
Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample of 212 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.22 and 0.42?
If the Jiffy Oil service rate for changing the oil in passenger cars is seven cars per hour. What is the probability that in the next hour, more than four car will need their oil changed? 0.8331 0.1669 0.8522 0.2946
Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.28 and 0.46?
In 2014, 78.9% of US households spoke only English at home. What is the probability that atleast 12 of 15 randomly sampled US households speak only English at home
If only 12% of men in a lost society were honest, compute the probability that the third man that you meet is the first honest man. Compute the values if the random variable: expected value, variance and standard deviation
Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 119 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.37?
A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.5%. What is the probability that in a random sample of 480 headache sufferers, less than 59.4% obtain relief?
A class president is favored by 53% of all students voting, assuming this is accurate, a random sample of 400 students are surveyed. 1. What is the probability that less than 49% will favor this student? 2. What is the probability that more than 57% will favor the student?