Question

The yearly amounts of carbon emissions from cars in Belgium are normally distributed with a mean of 13.9 gigagrams per year and a standard deviation of 9.2 gigagrams per year. Find the probability that the amount of carbon emissions from cars in Belgium for a randomly selected year are between 12.8 gigagrams and 14.0 gigagrams per year.
0.052
0.548
0.452
0.519

Answer 1

Answer: 0.052

Step-by-step explanation:

Given : The yearly amounts of carbon emissions from cars in Belgium are normally distributed with a mean of 13.9 gigagrams per year and a standard deviation of 9.2 gigagrams per year.

i.e. $\mu=13.9$  and $\sigma=9.2$

Let x denotes the yearly amounts of carbon emissions from cars in Belgium.

Then, the probability that the amount of carbon emissions from cars in Belgium for a randomly selected year are between 12.8 gigagrams and 14.0 gigagrams per year will be :-

$P(12.8$

Hence, the required probability = 0.052