A Kumai assembly line, which has been operating since 1950, has built an average of 6,000 cars and trucks a week. Generally, 10% of the cars were defective coming off the assembly line. Suppose we draw a random sample ofn= 100 cars.

Assume a normal distribution for the defective cars in the sample

n= 100;p= 0.1;q= 0.9

=np= (100)(0.10) = 10

=npq= (100)(0.1)(0.9) = 3

LetXrepresent the number of defective cars in the sample. What can we say aboutXin regard to the 68-95-99.7 empirical rule (one standard deviation, two standard deviations and three standard deviations from the mean are being referred to)?

68% of the defective cars will fall between seven and 13; 95 % of the defective cars will fall between four and 16; 99.7% of the defective cars will fall between one and 19.

68% of the defective cars will fall between seven and 13; 95 % of the defective cars will fall between four and 16; 99.7% of the defective cars will fall between four and 19.

68% of the defective cars will fall between seven and 13; 95 % of the defective cars will fall between four and 16; 99.7% of the defective cars will fall between one and 22.

68% of the defective cars will fall between seven and 13; 95 % of the defective cars will fall between three and 16; 99.7% of the defective cars will fall between one and 19.