Use Bayes' Theorem Suppose that the population data is 50% male and 50% female. It is known that 4% of people affected by color blindness are men. Calculate the probability of getting color blind among men: a) 0,04 b) 0,05 c) 0,06 d) 0,08
Q: Defects occur at random in planks of wood with an average of 0.5 per 10 cm length. Office building…
A:
Q: For example, from a mortality table, you only know the follow information: Cx lx 30 31 32 33 34…
A: In this problem, we are given a mortality table that provides information about the mortality…
Q: The speed of airliners flying at cruise altitude is normally distributed with au=522.0 miles/hour…
A:
Q: At a drug rehab center 41% experience depression and 25% experience weight gain. 14% experience…
A: Given Information: 41% experience depression. 25% experience weight gain 14% experience both. Let D…
Q: certain mite lives in a island. a biologist is studying the mite population on the island. previous…
A:
Q: The mark-and-recapture technique is commonly used to estimate the population size of animal species.…
A: In this case, each of the obtained rabbits has the only options of being "marked" (defined as…
Q: A communications satellite is designed to have a mean time to failure (MTF) of five years. If the…
A: The objective of this question is to find the probability of different scenarios for a satellite's…
Q: A certain affects virus 0.1% of the population. A test used to detect the virus in a person is…
A: Solution
Q: A certain affects virus 0.3% of the population. A test used to detect the virus in a person is…
A:
Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…
A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4% compute the probability…
Q: About 8.3% of the American population has diabetes. A combination of blood tests accurately…
A: According to the given information,Probability of American population have diabetes, P(diabetes) =…
Q: Given that a person has a positive test, find the probability that this person actually has cancer.
A: Assume that a type of cancer has a 1% prevalence rate, meaning that 1% of the population has this…
Q: Assume that 25.6% of people have sleepwalked. Assume that in a random sample of 1483 adults, 423…
A: Given, a) Population proportion = p = 0.256 sample size = n = 1483 sample proportion =
Q: The mean percent of childhood asthma in 43 cities is 2.31 %. A random sample of 30 of these cities…
A: Sample size(n)=30mean()=2.31%Standard deviation()=1.25%
Q: What is the expectation of X?
A: Here without replacement model so use hypergeometric distribution.
Q: Schnitzler syndrome has an incidence rate of 9%. It is found that 92% of people suffering from…
A: Given problem Given that
Q: A group of people studied the relationship of smoking habits and hypertension. The data below have…
A: The number of individuals is experiencing non-hypertension and they are non-smokers is 50 and the…
Q: The probability that more than 14 of those survyded feel the state , n=20 , p=0.45
A: Answer: From the given data, Sample size(n) = 20 P = 0.45 X~Binomial distribution(20,0.45)
Q: A survey showed that 78% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…
A: From the given information we find the probability that no more than 1 of the 19 adult require…
Q: According to studies, 3% of all patients who undergo a laser surgery (i.e. LASIK) to correct their…
A: Given information: A random sample of n = 100000 LASIK patients is considered. The probability of…
Q: Probability is the same as a) Proportion b) Unlikely c) Variance
A: Probability:The probability of an event is the chance of occurrence of that event. The probability…
Q: A test was given to a group of students. The grades and gender are summarized below A В C Total Male…
A: A B C Total Male 15 2 16 33 Female 9 5 18 32 Total 24 7 34 65
Q: Based on a poll , among adults who regret getting tattoos, 28% say that they were too young when…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: A pair of 7 sided dice are tossed. What is the probability that at least one of the dice has a value…
A:
Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…
A: Given: Sample size (n) = 10 The probability that a machine has a lifespan of more than 5 years is…
Q: 1. Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that…
A: Given: n=18 and p=0.1 Use binomial probability asPX=x=Cxnpx1-pn-x ;x≤n
Q: A survey asked subjects whether they are a member of anvironmental group and whether they would be…
A: Given : A survey asked subjects whether they are a member of an environmental group and whether they…
Q: The proportion of individuals that regularly smoke in a population is known to be 0.25. What is the…
A: Given information: p=0.25 Sample size, n=100
Q: Assume that 35.4% of people have sleepwalked. Assume that in a random sample of 1490 adults, 565…
A: Given p=0.334 n=1490
Q: istributed with a mean of 14 lbs and standard deviation 0.92 lbs. Components are accepted if their…
A:
Q: . 20 people will arrive at a 15-minute period. b. A maximum of 175 people will arrive at a 2-hour…
A: During peak hours, the arrival of customers at a fast food restaurant is random with an average rate…
Q: Assume that 39.1% of people have sleepwalked. Assume that in a random sample of 1541 adults, 611…
A:
Q: A study of consumer smoking habits includes 200 people in the 18-22 age bracket (40 of whom smoke),…
A: Given: Smoke Not smoke Total 18 - 22 40 160 200 23-30 31 99 130 31-40 30 70 100 Total…
Q: A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…
A: n=16P=0.8
Q: ssume that 33.2% of people have sleepwalked. Assume that in a random sample of 1454 adults, 523…
A: Given: The population proportion of people who sleepwalked, P = 0.332 Sample size, n =…
Q: • A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal…
A: Note: As per my policy i can answer only one question. kindly repost the remaining one. Given data…
Q: Suppose that six cups of yogurt are selected at random. What is the probability that at least three…
A:
Use Bayes' Theorem
Suppose that the population data is 50% male and 50% female. It is known that 4% of people affected by color blindness are men. Calculate the probability of getting color blind among men:
- a) 0,04
- b) 0,05
- c) 0,06
- d) 0,08
Step by step
Solved in 2 steps with 2 images
- A researcher wants to find the factors affecting the probability that a person suffers from heart diseases. Let Age denote the age of the person, let BMI denote whether the BMI of the preson is above 30 (BMI = 1) or below 30 (BMI = 0), and let smoker denote whether the person is a smoker (smoker= 1) or not (smoker=0). She collects a random sample of 1,000 individuals from the general population and estimates the following logit regression: Pr(Heart disease Age, BMI, Smoker) - F(2.46 +0.05Age + 0.04BMI + 0.04 Smoker). (0.98) (1.09) (1.31) (1.31) Standard errors are given in parentheses. The binary dependent variable, Heart disease denotes the probability of a person suffering from heart disease keeping Age, BMI, and smoker constant. The predicted probability that Henry who is currently aged 58, whose BMI is above 30, and is a smoker, will suffer from a heart disease is (Round your answer to four decimal places.)Suppose a lung cancer test is 85% sensitive and 93% specific. That is, the test will produce 85% true positive results for those with lung cancer and 93% true negative results for those without lung cancer. Suppose that 3.2% of people actually have lung cancer. If a randomly selected individual tests positive, what is the probability he or she does not have cancer? YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED To 4 DECIMAL PLACES. (e.g. 59.5321 would be 59.5321%)A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 3 Blue 2 Green 14 Yellow 13 Purple 7 Based on these results, express the probability that the next spin will land on red as a percent to the nearest whole number.
- Based on a poll, among adults who regret getting tattoos, 28% say that they were too young when they got their tattoos. Assume that eighteight adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos.The annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125In a deck of cards, the probability that a card less than a 4 is cut is 3/13. What is the probability of being able to cut the deck 10 times and select a card less than 45 times?. a. Describe two different methods to calculate the above situation (no need to do the calculations for both - see b.). b. Calculate the answer to the above problem.
- All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
- All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?