A bottling process fills bottles of soda with an average of 640 millilitres and a standard deviation of 6 millilitres. The process is assumed to follow a normal distribution. The quality control department recently reported to the management that one in twenty bottles contains soda amounting to less than a certain threshold, which is considered as an unacceptable bottle as it will result in customer dissatisfaction. The bottles are shipped to the point of sales in a pack of 8 bottles that are chosen randomly. 6. The quality control manager wants to set limits (upper and lower limits) that will contain the middle 92% of the distribution of the bottles. What are these limits? a. 629.5 to 650.5 b. 628.2 to 651.8 c. 630.1 to 649.9 d. 631.5 to 648.5 7. What is the probability that a randomly selected bottle contains at least 650 millilitres of soda? a. 6.4% b. 12.5% c. 4.8% d. 95% 8. What is TRUE about the number of unacceptable bottles in a pack of 8? a. The probability of each unacceptable bottle in the pack of 8 is independent of the others in the pack. b. The number of unacceptable bottles follows a binomial distribution with n=8 and p=19/20. c. The number of unacceptable bottles follows a normal distribution. d. The mean number of unacceptable bottles in a pack is 0.5.

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