acrobatiq A particular student has a lot of trouble getting up in the morning. T

Question

acrobatiq A particular student has a lot of trouble getting up in the morning. To make sure he will not oversleep, he sets four identical alarm clocks. Each of the four alarms will buzz at the set time with a probability of.98 independently of the others. Question 8 of 11 Points: 10 What is the probability that when the set time arrives, af four alarms will buzz? 4 (98)*(02) 4 (02) (.98) O (.02)4 (98) * 4 O (.98) Question 9 of 11 Points:10 The student, obviously, is interested in the probability that when the set time occurs, at least one of the four alarms will buzz. This probability is equal to: (02)4 (.98y O 1, (.02)4 O 1-(.98) none of these

Explanation / Answer

Question 8:

Probability that all the four alarms buzz is computed as:

= 0.98*0.98*0.98*0.98

= 0.984

Therefore the last option is the correct answer here.

Question 9:

Probability that at least one of the alarm buzz

= 1 - Probability that none of the alarm buzz

= 1 - (1 - 0.98)4

= 1 - 0.024

Therefore third option is the correct answer here.

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