1 pts
Question 5
The size of gasoline tanks in cars is normally distributed with a mean size of 24.8 gallons and a standard
deviation of 6.2 gallons. What percent of tanks are less than 31 gallons. Round answer to the nearest
percent
84%
71%
16%
20%

And we can find this probability using the normal standard distribution or excel and we got:

And if we convert this into % we got 84% so then the best solution would be:

84%

Step-by-step explanation:

Let X the random variable that represent the size of gasoline tanks of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

And we can use the z score formula given by:

Using the last formula we got:

And we can find this probability using the normal standard distribution or excel and we got:

And if we convert this into % we got 84% so then the best solution would be:

84%

in 2010, the population of the state of california is 37.29 × 10⁶

step-by-step explanation:

population of los angeles = 3.79 × 10⁶

population of california = 9.84 × population of los angeles

                                        = 9.84 × 3.79 × 10⁶

                                        = 37.2936 × 10⁶

                                        = 37.29 × 10⁶

∴ in 2010, the population of the state of california is 37.29 × 10⁶