Question

The contents (in g) of Fritz ketchup bottles are known to follow the Normal distribution with mean 452g and standard deviation 0.5g.

1. What is the random variable, X, in the given description?

2. Describe the distribution of the random variable using statistical notation.

Answer 1

Random Variable X here represents the contents of fritz bottles(in grams).

our random variable X here follows normal disribution with mean 452g and standard deviation 0.5g which can be mathmatically denoted as

X ~ N ( X  , X )

X ~ N(452 , 0.5)

The normal distribution is symmetric about around its mean and its empirical rule states that

68 % of the data lies between ( X  X ) = ( 452 0.5 ) = (451.5 , 452.5)

95 % of the data lies between ( X   2*  X ) = ( 452 2 * 0.5 ) = (451 , 453)

99.7 % of the data lies between ( X   3* X ) = ( 452 ​​​​​​​ 3 * 0.5 ) = ( 450.5 , 453.5)

plz like)