xercise 12.2.1: The probability of an event - coin flips. info About A fair coin is flipped n times. Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible. (a) At least n - 1 flips come up heads. (b) There are at least two consecutive flips that are the same. (c) The number of heads is different from the number of tails. (Assume that n is even, otherwise the probability is one.)

Reflect the point (7,0) across the y-axis

The table represents a function. what is f(-2)? a.-3 b. -1 c.1 d.3

(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.)