lal & Buglar trying to enter is detected by at least one alarm? alarms (b) Suppo

Question

lal & Buglar trying to enter is detected by at least one alarm? alarms (b) Suppose the bank instalis twelve alarms. What is the expected number of alarms that will detect a burglar? (Round your answer to two decimal places.) Need Help? Rese alarms 3. -2 points BBUnderStat11 53027 My Notes Ask Yo The owners of a motel in Florida have noticed that in the long run, about 40% of the people who stop and inquire about a room for the night actually rent a room. (a) How many inquires must the owner answer to be 99% sure of rent ng at least one room? inquiries (b) If 15 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals? inquiries Need Help? Submit Answer Save Progress Practice Another Version Submit Assignment Save Assignment Progress Home My Assignments Extension Request WebAssignt 40 1991 -2017 Advanced Instructional Systems, Inc All nights reserved

Explanation / Answer

a)

P[enquire but *not* rent a room] = 0.6

We want a Pr of 99% that at least one room (0) rooms are rented
ie a Pr ( 1% that 0 rooms are rented)
firstly equate 0.6n = 0.01 ,

n = ln 0.01/ln 0.6 = 9.015
now round UP to ensure 0.01, ans = 10

b) n =15 , p = 0.4

Expected no. of enquiries =np = 15*0.4 = 6

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