A recent survey by the American Cancer Society shows that the probability that someone is a smoker is P(S) = 0.31. It has also determined that the
probability that someone has lung cancer, given that he or she is a smoker, is P(LCIS) = 0.226. What is the probability (rounded to the nearest hundredth)
that a random person is a smoker and has lung cancer P(
S LC)?
0.73
0.08
0.25
0.07

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

How many sides does a regular polygon have if each exterior angle measure is 45 degrees explain your answer, i really don't understand this.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)