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**If [tex]\sigma = 10 km/h[/tex] and [tex]\mu = 74 km/t[/tex], find the probability that we when measuring the speed of 12 random cars can conclude that the expected speed of the cars is less than 77 km/h. Use [tex]\alpha[/tex]=0.05 level of significance.**

[tex]z = \frac{\bar{x}-\mu_0}{\sigma / \sqrt{n}} = \frac{77-74}{10/\sqrt{12}}=1.039[/tex]

Am I on the right track?