Answer: 0.4052
Step-by-step explanation:
Given : Mean : [tex]\mu=\text{307 grams}[/tex]
Standard deviation : [tex]\sigma = \text{4.1 grams}[/tex]
The formula for z -score :
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
For x=308 ,
[tex]z=\dfrac{308-307}{4.1}=0.24390\approx0.24[/tex]
The p-value = [tex]P(z>0.24)=1-P(z<0.24)[/tex]
[tex]=1-0.5948348= 0.4051652\approx0.4052[/tex]
Hence, the probability that a can will be sold that holds more than 308 grams =0.4052.
