Stat 300 Project I--Fun with Probabilities 1. Billy Joe Bob wants to make his 8a

Question

Stat 300 Project I--Fun with Probabilities 1. Billy Joe Bob wants to make his 8am class on time t probability .75. If he sets the alarm the alarm will ring with probability .8. If the alarm rings What is the probability that Billy Joe Bob will not make it to class on time? tomorrow. He remembers to set his alarm with o class with probability 0.25 2. A student must choose exactly two out of three electives: art, French, and mathematics. He chooses art with probability 58, French with probability 58, and art and French together with probability i/4. what bility that he chooses mathematics? What is the probability that he chooses either art or al French 3. Two cards are chosen from a standard deck without replacement. What is the probability that the first card chosen has a higher value than the 2nd card? 4. Suppose the probability ofdeath due to lung cancer is .006. In a certain region, 20% of people are smokers and it is known that the probability of death due to lung cancer given that a person is a smoker is 10 times the probability of death due to lung cancer given that a person is not a smoker. What is the probability of death due to lung cancer given that a person is a smoker in this region? 5. Three dice are tossed. Which is the more likely event? That the sum of the faces is 9 or the sum of the faces is 10? Justify your answer. P(z a) 6. Assuming a standard normal distribution, find a such that P(z

Explanation / Answer

Solution to (1)

Prob that alarm will ring = 0.75*0.8 = 0.6
prob that he won't make it to the class if the alarm rings = 0.6*(1-0.95) = 0.03
Prob that alarm won't ring = 1-0.6 = 0.4
Prob that he won't make it to the class when the alarm won't ring = 0.4(1-0.25) = 0.3
total probability that he won't make it to the class = 0.03 + 0.3
= 0.33

Note: Repost remaining questions for answers.

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