Question Solved1 Answer Let Y denote a random variable that has a Poisson distribution with mean λ = 6. (Round your answers to three decimal places.) (a) Find P(Y = 9). (b) Find P(Y ≥ 9). (c) Find P(Y < 9). (d) Find P(Y ≥ 9|Y ≥ 6).

5. Levelness of concrete slabs. Geotechnical engineers use water-level “manometer” surveys to assess the levelness of newly constructed concrete slabs. Elevations are typically measured at eight points on the slab; of interest is the maximum differential between elevations. The Journal of Performance of Constructed Facilities (Feb. 2005) published an article on the levelness of slabs in California residential developments. Elevation data collected on over 1,300 concrete slabs before tensioning revealed that the maximum differential x has a mean of m = .53 inch and a standard deviation of s = .193 inch. Consider a sample of n= 50 slabs selected from those surveyed, and let x represent the mean of the sample. (30 points) a. Describe fully the sampling distribution of x. b. Find P(Z > .58). c. The study also revealed that the mean maximum differential of concrete slabs measured after tensioning and loading is m= .58 inch. Suppose the sample data yield = .59 inch. Comment on whether the sample measurements were obtained before tensioning or after tensioning and loading.

java language Assume the availability of the following class Rational. Write a class named ComparableRational that extends the Rational class and implements the comparable interface. The compareTo method compares this object with a given comparableRational object mathmatically. For example, 1/3 < 1/2 Rational - numerator: long -denominator: long +Rational +Rational (numerator: long. denominator: long) +getNumerator: long +getDenominator: long add(secondRational: Rational): Rational + subtract(secondRational: Rational): Rational multiply(secondRational: Rational): Rational +divide(secondRational: Rational): Rational +toString(): String The numerator of this rational number The denominator of this rational number Creates a rational number with numerator and denominator 1. Creates a rational number with a specified numerator and denominator. Returns the numerator of this rational number. Returns the denominator of this rational number. Returns the addition of this rational number with another. Returns the subtraction of this rational number with another. Returns the multiplication of this rational number with another Returns the division of this rational number with another. Returns a string in the form "numerator denominator." Returns the numerator if denominator is 1 Returns the greatest common divisor of n and d. -9cd(n: long, d: long): long Figure 1: The Rational class

Near the surface of Earth, an electric field points radially downward and has a magnitude of approximately 100 N/C. 1)What charge (magnitude and sign) would have to be placed on a penny that has a mass of 3.11 g to cause it to rise into the air with an upward acceleration of 1.990 m/s2? (Express your answer to three significant figures.)

A leaky 10-kg bucket is lifted from the ground to a height of 13 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 39 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 13-m level. How much work is done? (Use 9.8 m/s2 for g.) Show how to approximate the required work (in J) by a Riemann sum. (Let x be the height in meters above the ground. Enter xi* as xi.) A leaky 10-kg bucket is lifted from the ground to a height of 13 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 39 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 13-m level. How much work is done? (Use 9.8 m/s2 for g.) Show how to approximate the required work (in J) by a Riemann sum. (Let x be the height in meters above the ground. Enter x;* as x;-) n ) lim ( 56.8 – 3.6x, Ax i=1 Express the work (in J) as an integral in terms of x (in m). 13 9.8(61 – 3.6x) Jox Evaluate the integral (in ). (Round your answer to the nearest integer.) 34081 XJ Need Help? Read It Watch It

Q-3. (20 pts) Link Layer A R 111.111.1111111 74-3-32-EE-FF-55 222.222.222.220 1A-23-F9-CD-O-BE 49-80-02.07-58-24 UD BF 111111.111.112 CC 49-DE-DO-AR TO 777.777.777.773 EG-ES-CO-17-60- 222.222222221 88-82-25-541A OF Consider the LAN scenario above. Answer each question below briefly, eg., in a sentence or two at most. a) pts) Assign an IP address to the leftmost interface of the router, given that the subnet part of IP addresses are 24 bits. b) (3 pts) Suppose A wants to send an IP datagram to B and knows B's IP address. Must A also know B's MAC address to send the datagram to B? If so, how does A get this info? If not, explain why not. c) pts) Suppose A wants to send an IP datagram to C and knows C's IP address. Must A also know C's MAC address to send the datagram to C? If so, how does A get this info? If not, explain why not d) (4 pts) Suppose that has a datagram that was originally sent by A) to send to C. What are the MAC addresses on the frame that is sent from R to c? What are the IP addresses in the IP datagram encapsulated within this frame? e) 4 pts) Suppose the switches above are learning switches and suppose that the switch has just been turned on Suppose now A send an Ethernet frame to B. a. On how many outgoing switch interfaces will this first frame be carried? b. Now suppose that B replies to A and A sends a second frame to B. On how many outgoing switch interfaces will this second frame be carried 1) pts) Suppose now that the router is removed from the scenario above. Can the nodes keep their IP addresses the same as shown in the picture above? Explain in one or two sentences.

Specify the following relational algebra operations in both tuple and domain relational calculus (where the notation R(x,y,z) denotes a relational instance with three attributes x, y, and z). a. Ox=z ( R(x,y,z)) b. Tx,y ( R(x,y,z)) C. R(x,y,z) S(w,r,t) d. R(x,y,z) U S(x,y,z) e. R(x,y,z) n S(x,y,z) f. R(x,y,z) - S(x,y,z) g. R(x,y,z) ~ S(w,r,t) h. R(x, y) / S(x)