A huge trucking firm determines that its fleet of trucks averages a mean of 12.4 miles per gallon with a standard deviation of 1.2 miles per gallon on cross-country hauls. The distribution of miles per gallon is approximately normally distributed. What is the probability that a randomly selected truck averages fewer than 10 miles per gallon

Respuesta :

Answer:

[tex]P(x<10miles)=0.023[/tex]

Step-by-step explanation:

From the question we are told that

Sample mean [tex]\=x=12.4[/tex]

Standard deviation [tex]\sigma=1.2miles\ per\ gallon[/tex]

Probability of [tex]P(x<10miles)[/tex]

Generally the equation for [tex]P(x<10miles)[/tex] is mathematically given as

[tex]P(x<10miles)=(\frac{10-12.4}{1.2})[/tex]

[tex]P(x<10miles)=0.023[/tex]

Therefore The probability that a randomly selected truck averages fewer than 10 miles per gallon

[tex]P(x<10miles)=0.023[/tex]