Question

a JAR OF PEANUT BUTTER CONTAINS 451G WITH A STANDARD DEVIATION OF 10.2G. FIND THE PROBABILITY THAT A JAR CONTAINS MORE THAN 457G

Answer 1

As per the provided information.

The population mean is 451 G.

The standard deviation is 10.2 G.

Let X be the number of grams contained by a jar of peanut butter. So, the random variable X follows normal distribution such that,

Using the standard normal table, the probability that a jar contains more than 475 G can be calculated as:

Therefore, the probability that a jar contains more than 475 G is 0.2776.