Question (1 point) For each probability expression, find the unknown --value(s). Unless directed otherwise, use three decimals in your answers (a) P(ZS) -0.8. Find to R 0.84 (1) P(Z = 20) = 0.25. Find 20 -0.68 HI (c) P(Z 2o) 0.3. Find to 0.524 (c) P(= SZ S 0.16) = 0.4941. Find 20 FO 0.3 1. (use two decimals)

Consider the population consisting of 1, 2, 3, 5, 6, and 7. Suppose samples of size 4 are drawn from this population. Describe the sampling distribution of the sample means. Compute for the mean and the variance of the sampling distribution of the sample means. Be guided by the first illustration.STEPSSOLUTION1. Compute the mean of the population.2. Compute the variance of the population.3. Determine the number of possible samples of size n = 44. List all possible samples and compute their corresponding means.5. Construct the sampling distribution of the sample means.6. Compute the mean of the sampling distribution of the sample mean.7. Compute the variance of the sampling distribution of the sample means.

2. Assassination is a type of covert action. Do you think assassination is an acceptable action or is an action that should be forbidden, never done? Explain your answer.

v MI 7. Let (r) = for r e A := (0,0) (i) Find the pointwise limit f off (ii) Show that each f, is bounded on A but the pointwise limit f of the sequence is not bounded on A. (ii) Decide whether or not the convergence in () is uniform, prove your claim. (iv) use the e-strip to prove your claim in (iii).

A solid disk, a hoop, and a solid sphere are released at the same time at the top of an inclined ramp. Each has mass M and radius R. They all roll without slipping. In what order (fastest to slowest) do they reach the bottom of the ramp, if the moments of inertia of the disk, hoop, and sphere are ½ MR2, MR2, and 2/5 MR2? A) disk, hoop, sphere B) disk, sphere, hoop C) sphere, hoop, disk D) hoop, sphere, disk E) sphere, disk, hoop

R W R3 ww 10 12 ww R2 1 Write down the Kirchhoff Junction equation and solve it for I; in terms of 12 and 13. Write the result here: Ij = write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 10V, Ry, 4V, and Ry O The resistors in the circuit have the following values . - R2 • Ry=60 Ry=130 Solve for all the following (some answers may be negative); 11 - Amperes 12 Amperes 13 Amperes NOTE: Forthin

3. Find the area between the curve y = 2^x andthe chord joining the points (0,1) and (2,4). 4. Find the coordinates of the centroid bounded bythe curve y = x^3 and the line x = 2.