eanie is a bit forgetful, and if she doesn\'t make a \'to do\" list, the probabi

Question

eanie is a bit forgetful, and if she doesn't make a 'to do" list, the probability that she forgets something she is supposed to do Is .3. Tomorrow she Intends to run three errands, and she fails to write them on her list (a) What is the probabllity that leanle forgets all three errands? What assumptions did you make to calculate this probability? Events are See v (b) what is the probability that Jeanie remembers at least one of the three errands? (c) What is the probability that leanie remembers the tirst errand but not the second or third?

Explanation / Answer

P(forget) = 0.3

P(remembers) = 1-0.3 = 0.7

a) P(forgets all three errands) = P(forget)*P(forget)*P(forget)

P(forgets all three errands) = 0.3*0.3*0.3

P(forgets all three errands) = 0.027

Assumption made is that the events are independent

b) P(remembers atleast one of the three errands) = 1-P(P(forgets all three errands)

P(remembers atleast one of the three errands) = 1-0.027 = 0.973

c) P(remembers first errand but forget last two) = P(remembers)*P(forget)*P(forget)

P(remembers first errand but forget last two) = 0.7*0.3*0.3

P(remembers first errand but forget last two) = 0.063

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.