In 1970, 13% of people in a certain region completed four years of college; 46% of them were women. In 1990, 25% of people in the same region completed four years of college; 55% of them were women. Complete parts (a) through (c) below. In each part below, a person is selected at random from the region. (a) Given that a person completed four years of college in 1970, what is the probability that the person was a woman? The probability is (Type an integer or a decimal. Do not round.) (b) What is the probability that a woman finished four years of college in 1990? The probability is (Type an integer or a decimal. Do not round.) (c) What is the probability that a person was not a male college graduate in 1990? The probability is (Type an integer or a decimal, Do not round.)

In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use by the household.​ (No two respondents were from the same​ household.) Among the​ respondents, 211answered​ "none,"289 said​ "one," 373 said​ "two," 143 said​ "three," and 138 responded with four or more. A survey respondent is selected at random. Find the probability that​ his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in​ use? Consider an event to be unlikely if its probability is less than or equal to 0.05.

Assume that 50% of the students at the university have taken four years of high school math. Of those with four years of high school math, 60% plan to major in science. Of those without four years, Only 25%  plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that the student had four years of high school math?

According to a study, 81% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 81%, 6 out of 10 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum. The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is (Round to three decimal places as needed.)

According to a study, 88% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 88%, 10 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum. The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is (Round to three decimal places as needed.)

60% of all students at a college still need to take another math class. If 46 students are randomly selected, find the probability that a. Exactly 26 of them need to take another math class. b. At most 27 of them need to take another math class. C. At least 26 of them need to take another math class. d. Between 27 and 32 (including 27 and 32) of them need to take another math class.

A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).

29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 44 college students are randomly selected, find the probability that a. Exactly 10 of them major in STEM. b. At most 14 of them major in STEM. c. At least 12 of them major in STEM. d. Between 7 and 15 (including 7 and 15) of them major in STEM.