In: Statistics and Probability
A medIV. A medical trial into the effectiveness of a new medication was carried out. 120 females and 90 males took part in the trial. Out of those people, 50 females and 30 males responded positively to the medication. Given below is a contingency table with the given information filled in. Female Male Total Positive 50 30 Negative 70 60 Total a. What is the probability that a randomly selected person from the sample is a female? b. What is the probability that the medicine gives a positive result for males? c. What is the probability that a randomly selected person from the sample either a female or responded positively to the medication? d. What is the probability that a randomly selected person from the sample is a female given that she is responded positively to the medication? e. Was the medication's success independent of gender? Explain. ical trial into the