Three coins are dropped on a table. a. Let A be the event "exactly two heads." Find P(A). b. Let B be the event "at most one head." Find P(B). c. Let C be the event "at least two heads." Find P(C). d. Are the events A and B mutually exclusive? Find P(A or B). e. Are the events A and C mutually exclusive? Find P(A or C). a. Let A be the event "exactly two heads." Find P(A). P(A)= (Type an integer or a simplified fraction.) b. Let B be the event "at most one head." Find P(B). P(B)=(Type an integer or a simplified fraction.) c. Let C be the event "at least two heads." Find P(C). P(C)= (Type an integer or a simplified fraction.) d. Are the events A and B mutually exclusive? Find P(A or B). The events A and B mutually exclusive and P(A or B)= (Type an integer or a simplified fraction.) e. Are the events A and C mutually exclusive? Find P(A or C). The events A and C mutually exclusive and P(A or C)= (Type an integer or a simplified fraction.) Objective Use probability rules and formulas to compute the probability of events. Answer conceptual questions about hypothesis testing. Determine the hypotheses for a one-sample test. Conduct the appropriate one-sample hypothesis test given summary statistics. Conduct the appropriate one-sample hypothesis test given summary statistics. Use probability rules and formulas to compute the probability of events. Use the normal distribution to find probabilities. Use the binomial distribution to find probabilities. Create scatter charts of data and use Excel to fit models. Apply the Excel regression tool to find a simple linear regression model and interpret the results. Apply the Excel regression tool to find a simple linear regression model and interpret the results