how do i answer this?
Given a normal distribution with p. = 100 and o = 10, complete parts (a) through (d). a. What is the probability that X > 80? The probability that x > 80 is D. (Round to four decimal places as needed.) b. What is the probability that X 130? The probability that x 130 is D. (Round to four decimal places as needed.) cl. 80% of the values are between what two X-values (symmetrically distributed around the mean)? 80% of the values are greater than D and less than El. (Round to two decimal places as needed.) Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 35 kilograms and a standard deviation of 1.87 kilograms. Complete parts a through d below. a. What is the probability that a filled bag will weigh less than 34.9 kilograms? The probability is (Round to four decimal places as needed.)A private equity rm is evaluating two alternative investments. Although the returns are random, each investment's return can be described using a normal distribution. The rst investment has a mean return of $2,000,000 with a standard deviation of $150,000. The second investment has a mean return of $2,225,000 with a standard deviation of $400,000. Complete parts a through c below. a. How likely is it that the rst investment will return $1,800,000 or less? The probability is D. (Round to four decimal places as needed.) A bottling plant lls 12-ounce cans of soda by an automated lling process that can be adjusted to any mean ll volume and that will ll cans according to a normal distribution. However, not all cans will contain the same volume due to variation in the lling process. Historical records show that regardless of what the mean is set at, the standard deviation in ll will be 0.025 ounce. Operations managers at the plant know that if they put too much soda in a can, the company loses money. If too little is put in the can. customers are short changed, and the State Department of Weights and Measures may ne the company. Complete parts a and b below. a. Suppose the industry standards for ll volume call for each 12-ounce can to contain between 11.98 and 12.02 ounces. Assuming that the manager sets the mean ll at 12 ounces, what is the probability that a can will contain a volume of product that falls in the desired range? The probability is D. (Round to four decimal places as needed.) The annual per capita consumption of bottled water was 34.9 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 34.9 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 40 gallons of bottled water? b. What is the probability that someone consumed between 20 and 30 gallons of bottled water? c. What is the probability that someone consumed less than 20 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 40 gallons of bottled water is D. (Round to four decimal places as needed.)
