Sushi rice (in bags) have a Normal distribution with a mean of 20.5 kg and a standard deviation of 0.25 kg. Australian rice (in bags) have a Normal distribution with a mean of 20.3 kg and a standard deviation of 0.36 kg. If 25 bags of Sushi rice and 25 bags of Australian rice are randomly chosen:Find the parameters (mean and standard deviation) for the total weight of 25 bags of Sushi rice and for the total weight of 25 bags of Australian rice.

The amount of cereal in boxes, packed by a particular machine, is normally distributed with mean µ gram andstandard deviation 5 gram. If the advertised weight of a box is 500 gram, find(i) the proportion of boxes that will be underweight (i.e. weight less than 500 gram) when µ = 505;(ii) the value of µ required to ensure that only 1% of the boxes are underweight.(b) As a check on the setting of the machine a random sample of four boxes is chosen and the setting changed if theaverage weight of the four boxes is less than 500 gram. Find the probability that the setting of the machine ischanged when µ = 505.

The manager of a bakery is analyzing the weight of bread loaves produced per hour during weekdays. The weight of bread loaves follows a Normal distribution with a mean of 500 grams and a standard deviation of 20 grams. (e) Find the total weight of bread loaves in a 4-hour period Y such that on 10% of all 4-hour periods, the total weight is less than this weight.

In a distribution exactly normal with mean 47.5 Kilogram, 89.97% of the items are under 70 kilogram weight. Then which of the following is the standard deviation of the distribution? Given that area under standard normal curve from Z=0 to Z=1.28 is 0.3997.

The mean weight of 1000 students at a certain college is 62 kg, and the standard deviation is 5kg. Assuming that the weights are normally distributed, find the probability that a randomly selected student weighs between 55 and 60kg.a.0.3446b.0.0808c.0.2638d.0.7362

A population of adult free-range turkeys has a mean weight of 8.5 kg and a standard deviation of 1.2 kg. A random sample of size 10 is taken from this population. Find the mean and the standard deviation for the total weight of this sample of size 10.