Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic lling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 68 kilograms and a standard deviation of 0.91 kilograms. Complete parts a through d below. (1) a. What is the probability that a lled bag will weigh less than 67.6 kilograms? The probability is D. (Round to four decimal places as needed.) b. What is the probability that a randomly sampled filled bag will weigh between 65.8 and 69 kilograms? The probability is D. (Round to four decimal places as needed.) 0. What is the minimum weight a bag of dog food could be and remain in the top 12% of all bags filled? The minimum weight is D kilograms. (Round to three decimal places as needed.) d. DNI is unable to adjust the mean of the lling process. However, it is able to adjust the standard deviation of the lling process. What would the standard deviation need to be so that 5% of all filled bags weigh more than 71 kilograms? The standard deviation would need to be |:| kilograms. (Round to three decimal places as needed.)