Question

According to the​ label, a can of soup holds an average of 301 ​grams, with a standard deviation of 4.6 grams. Assuming a normal​ distribution, what is the probability that a can will be sold that holds more than 302 ​grams? Click here for page 1 of the Areas under the Normal Curve Table LOADING... Click here for page 2 of the Areas under the Normal Curve Table LOADING... The probability that the can contains more than 302 g is .......... ​(Round to four decimal places as​ needed.)

Answer 1

Solution:

Given, the Normal distribution with,

   = 301

= 4.6  

b) Find P(X> 302)

P(X> 302) = 1- P(X< 302)

=

=

=

=

   PX> 302) = 1 - 0.5871 .......(use z table).

= 0.4129

The probability that the can contains more than 302 g is 0.4129