(a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.)

A study determined that 2% of children under 18 years old lived with their father only. Find the probability that ex The probability that exactly 2 of the 16 children under 18 years old lived with their father only is (Do not round until the final answer. Then round to the nearest thousandth as needed.)

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.4. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)

Of the cartons produced by a company, 7% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

A family has two cars that are insured, a sports car and a commuting vehicle. The probability that the sports car is in an accident in the next 4 years is 0.014. The probability that the commuting vehicle is in an accident in the next 4 years is 0.004. Assuming that accidents are independent events, compute the probability that at least one of the two cars is in an accident in the next 4 years. Use three decimal place accuracy. (Don't hand writing solution)

A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of the 20 bottles are contaminated, what is the probability that more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.

An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.8. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)

Assume it was determined from a random sample of customers that the probability of buying cake is 40%; the probability of buying ice cream is 62%; and the probability of buying cake or ice cream is 86%. What is the probability of buying chocolate ice cream and frozen yogurt? (Round your answer to 2 decimals)

In a sample of 900 U.S. adults, 210 think that most celebrities are good role models. U.S. adults are selected from this sample without replacement.   Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is enter your response here. (Round to three decimal places as needed.)

A student in this class is writing two midterms in math this week. The probability that she will pass MAT 2371 is 0.7, and the probability that she will pass MAT 2125 is 0.7. If the result on the two exams are independent, what is the probability that she will fail at least one the two exams? 0.56 0.44 0.54 0.46 0.51