The following table shows the probability distribution for a discrete random variable.
X
12
15
17
20
22
24
25
30
P(X| 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
The mean of the discrete random variable X is 19.59. What is the variance
of X? Round your answer to the nearest hundredth.
A. 23.18
O B. 26.55
C. 34.71
D. 31.06
SUBMIT

(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.)