1. An insurance company survey shows that 92% of all Ontario drivers wear a seatbelt when driving. For those who wear a seatbelt, it is estimated that the chance of getting a serious injury in a car accident is 9%. For those who do not wear a seatbelt, the chance of getting a serious injury in a car accident is 69%. Bis the event of wearing a seatbelt,B (compliment) is the event of not wearing a seatbelt,Iis the event of serious injury, andI(compliment)is the event of not sustaining a serious injury. Answers tofourdecimals.:

If in a randomly selected car accident the driver was not seriously hurt, the probability that the driver was wearing seatbelt is.....................................

2. Suppose29%of families in Humbereast town drive SUVs. A random sample of35families is selected.

Assuming independence, use the binomial formula or software (recommended) to answer the following questions.

What is the probability that, of the35families selected:

(Report probabilities accurate toat least 4decimal places.)

1. exactly 10drive SUVs? .............................
2. b)exactly 23do notdrive SUVs ......................................
3. noneof them drive SUVs? ......................................
4. at most 7drive SUVs? ...........................................
5. at least 4drive SUVs? ................................................
6. more than halfdrive SUVs? ........................................
7. at least 4butno more than 19drive SUVs ...........................................
8. less than 3ormore than 13drive SUVs? .........................................
9. (a), (b) (c). Calculate the mean and standard deviation of families that drive SUVs. ............................... (Round to 2 decimal places). Calculate Mean ------------ and Standard Deviation ...................................

3 If you expect to find exactly33families that drive SUVs, how large a sample should you select? ................................................ (Report the minimum sample size required as an integer)