Question Let \( z \) denote a variable that has a standard normal distribution. Determine the value \( z^{*} \) to satisfy the following conditions. (Round your answers to two decimal places.) (a) \( P\left(z<z^{*}\right)=0.0256 \) \[ z^{*}= \] (b) \( P\left(z<z^{*}\right)=0.0101 \) \[ z^{*}= \] (c) \( P\left(z<z^{*}\right)=0,0502 \) \[ z^{*}= \] (d) \( Let z denote a variable that has a standard normal distribution. Determine the value z∗ to satisfy the following conditions. (Round your answers to two decimal places.) (a) P(z<z∗)=0.0256 z∗= (b) P(z<z∗)=0.0101 z∗= (c) P(z<z∗)=0,0502 z∗= (d) P(z>z∗)=0.0206 z∗= (e) P(z>z∗)=0.0101 z∗= (f) P(z>2∗ or z<−2∗)=0.2044 z∗= f(x)

The probability of a head in tossing a coin is 1-in-2. This means that as we make more tosses, the proportion of heads will eventually get close to 0.5. It does not mean that the count of heads will get close to one-half the number of tosses. (Use decimal notation. Give your answers as whole positive numbers.) The proportion of heads is 0.49 in 100 tosses. What is the difference between the number of heads and half the number of tosses? difference: The proportion of heads is 0.493 in 1000 tosses. What is the difference between the number of heads and half the number of tosses? difference: difference: The proportion of heads is 0.4969 in 10,000 tosses. What is the difference between the number of heads and half the number of tosses? difference: The proportion of heads is 0.49926 in 100,000 tosses. What is the difference between the number of heads and half the number of tosses? difference:

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.