Lee iacocca volunteered to drive one of his chryslers into, Ask an Expert

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Lee Iacocca volunteered to drive one of his Chryslers into a brick wall to demonstrate the effectiveness of airbags used in these cars. Airbags are known to acti- vate at random when the car decelerates anywhere from 9 to 14 miles per hour per second (mph/s). The probability distribution for the deceleration speed at which bags activate is given below.

mph/s	Probability
9	0.12
10	0.23
11	0.34
12	0.21
13	0.06
14	0.04

a. If the airbag activates at a deceleration of 12 mph/s or more, Iacocca would get hurt. What is the probability of his being hurt in this demon- stration?

b. What is the mean deceleration at airbag activation moment?

c. What is the standard deviation of deceleration at airbag activation time?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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