out of 10 What is the probability that when the set time arrives all four

# Out of 10 what is the probability that when the set

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Question 8 of 11Points: 10 out of 10What is the probability that when the set time arrives, all fouralarms will buzz? 4 * (.98) * (.02)34 * (.02) * (.98)3(.02)4(.98) * 4(.98)4Good job! P(all buzz) = P(1stbuzzes and 2ndbuzzes and 3rdbuzzes and 4thbuzzes). Since P(buzz) = .98 and the four alarms work independently, we can multiply the probabilities. P(all buzz) = P(1stbuzzes) * P(2ndbuzzes) * P(3rdbuzzes) * P(4thbuzzes) = (.98) 4.Question 9 of 11Points: 10 out of 10The student, obviously, is interested in the probability that when the set time occurs, at least oneof the four alarms will buzz. This probability is equal to:(.02) 4 4The next two questions refer to the following information:Only 20% of the students in a certain liberal arts college are males.Question 10 of 11Points: 10 out of 10If two students from this college are selected at random, what is the probability that they are both males? . Question 11 of 11Points: 10 out of 10Again, only 20% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are of the same gender? • • • 