For a standard normal random variable Z, P(|Z|<1.30) is closest to: A     0.1936 b     0.4032 c      0.8064 d      0.5968

Let x be a normally distributed random variable with the following parameters: μ = 135.628 σ = 28.622   12 What is the probability that x will be below 100 ? a 0.1343 b 0.1243 c 0.1151 d 0.1066

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1  Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874.  (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t   critical t ±

5. If z is a standard normal random variable, find the value of c:P(z < c)= 0.6950                    c = _____