In USA, the results of a survey involving the use of sleepwear while travelling were listed as follows: Male Female Underwear 0.220 0.024 Nightgown 0.002 0.180 Nothing 0.160 0.018 Pajamas 0.102 0.073 T-Shirt 0.046 0.088 Other 0.084 0.003 What is the probability that the traveller is a male if the traveller wears pajamas?
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- In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…Here is the probability model for the blood type of a randomly chosen person in the United States: Blood Type OA BAB Probability 0.2 0.47 0.11 ?3. A survey of a sample of 637 people is conducted. The survey's respondents are classified according to percent of income devoted to housing cost and residence type. The results are given in the table below. Apartment Duplex Single Family Total 20% 47 18 81 146 Total 220 85 332 637 When answering the following questions, please round your answers to one decimal place. What is the probability that a randomly selected person from the survey: a. spends 10-20% of their income on housing? b. lives in a single-family residence or spends more than 20% of their income on housing?
- A recent study has shown that approximately 31.6% of Canadians are considered 'supertasters,' or people who experience the sense of taste with greater intensity than average. Consider a sample of 23 Canadians, each of whom are asked to indicate if they are a supertaster or not. Please use this information to answer the following questions.a. Suppose you know that at least 7 of the Canadians sampled are supertasters. What is the probability that exactly 15 of the Canadians sampled are supertasters?Answer:______________Round to at least FOUR digits after the decimal if necessary. b. What is the probability that the 10th Canadian sampled is the sixth person to indicate that they are a supertaster?Answer:______________Do NOT round your answer; give all the decimals.What are the reasoning or arguments surrounding the below statement: "Statistical research shows that the probability of a person who takes one alcoholic drink are at a greater risk of getting into a car accident than someone who recently smoked marijuanaA poll asked people with and without children under 18 years old if they frequently experienced stress. The results are shown in the accompanying table. Complete parts (a) through (c) below. Frequently Experience Stress Yes No Total With child under 296 234 530 18 уears No child under 196 314 510 18 years Total 492 548 1040 a. Find the probability that a randomly chosen person from this group said "Yes," given that the person has a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) b. Find the probability that a randomly chosen person from this group said "Yes," given that the person does not have a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) c. Find the probability that a randomly chosen person from this group said "Yes" or had a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.)
- It is widely known that wage levels and real estate prices follow, i.e. that in areas where salaries are generally high, so are real estate prices and vice versa. The table below shows the distribution of people according to their salary level and the real estate price where they live. a. According to the table, what percentage of people have a high salary level? b.What is the probability that a person with a low salary lives in an area with high real estate prices? c. What is the probability that a person living in an area with high real estate prices has a low salary?An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of Satisfaction High Medium Low Total Owners 26 34 18 78 Renters 15 12 5 32 Total 41 46 23 110 What is the probability that a resident reports high satisfaction, given that the resident is a renter? 13.7% 20.0%0 36.6% 46.9%The following table gives data on the marital status of women aged 25 to 29. These proportions tell us the probability of the marital status of a randomly selected woman. Marital Status Never Married Married Widowed Divorced Proportion ??? 0.494 0.005 0.046 1) What percentage of women aged 25 to 29 have never been married? 2) What is the probability that a randomly chosen woman is not currently married?