The weight of potato chips in a medium-size bag is stated to be 10 ounces. the amount that the packaging machine puts in these bags is believed to have a normal model with mean 10.2 ounces and standard deviation 0.12 ounces.
what's the probability that the mean weight of the 3 bags is below the stated amount?
a. 0.069
b. 0.0478
c. 0.9522
d. 0.0019

d. 0.0019

Step-by-step explanation:

Given : The weight of potato chips in a medium-size bag is stated to be 10 ounces.

The amount that the packaging machine puts in these bags is believed to have a Normal model with mean 10.2 ounces and standard deviation 0.12 ounces.

i.e.   and

Let x represents the weight of potato chips in a medium-size bag.

The probability that the mean weight of the 3 bags (i.e. sample size = 3) is below the stated amount will be :-

Hence, the required probability =0.0019

question:

could we have options?