(4) Given Z N(0, 1) find the following: (a) P(Z 2 1.4) (b) P(Z> 0.75) (c)...
3. Fin a) P(z < 2.37) b) P(z > -1.18) c) P(-1.18 < z < 2.37)
(I point) f(z)-,2+1-1 < z < 0 (i) find P(-0.5sX<0.25). (a) Find the cumulative distribution function F(z). Fill in the blanks below. F(z) EE when x when when when x> (b) Evaluate P(Xc0.75X20.25) (c) 35% of the time, X exceeds what value? (d) l Estimate the location of the mean/expected value of X. Once you have done so, find the E(X)
Standard Normal distribution. With regards to a standard normal distribution complete the following: (a) Find P(Z > 0), the proportion of the standard normal distribution above the z-score of 0. (b) Find P(Z <-0.75), the proportion of the standard normal distribution below the Z-score of -0.75 (c) Find P(-1.15<z <2.04). (d) Find P(Z > -1.25). (e) Find the Z-score corresponding to Pso, the 90th percentile value.
Look at the image, thank you. For a standard normal distribution, find c if P(z>c) = 0.6906 c=
3. Let X N(20,1). What is P(X > 20) ? a) 0.25 b) 0.5 c) 0.75 d) 0.99
4) Consider two material media separated by the boundary surface at z-0. The region 1, z> 0 has a uniform electric field given by E! a.20-?-50. obtain a). ?2in medium 2 b) Jand J2 and ch the angle and J2 make with the xz plane 15ms 2 S
Find the following probabilities based on the standard normal variable Z (Round your answers to 4 decimal places.) a. P(Z> 1.04) b. P(Zs -1.74) c. P(O s Z s 1.81) d. P(-0.81 s Zs 2.66)
Compute the following probabilities assuming a standard normal distribution. a) P(Z < 1.4) b) P(Z < 1.12) c) P(-0.89 <z< 1.35) d) P(O<z<2.42)
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?
0, otherwise a. Show that c-120. b. Find P(X, >1/2) c. Find the joint distribution of-X,-X, and ½-X2 . Draw graphs that illustrate the effect of this transformation on the support.