Chapter 2, Problem 6PE

I cannot program smart home automation rules from my device using a computer or phone, and I would like to know how to properly connect devices such as switches and sensors together ? Cisco Packet Tracer 1. Smart Home Automation:o Connect a temperature sensor and a fan to a home gateway.o Configure the home gateway so that the fan is activated when the temperature exceedsa set threshold (e.g., 30°C).2. WiFi Network Configuration:o Set up a wireless LAN with a unique SSID.o Enable WPA2 encryption to secure the WiFi network.o Implement MAC address filtering to allow only specific clients to connect.3. WLC Configuration:o Deploy at least two wireless access points connected to a Wireless LAN Controller(WLC).o Configure the WLC to manage the APs, broadcast the configured SSID, and applyconsistent security settings across all APs.

using r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?

using r language A continuous random variable X has density function f(x)=1/56(3x^2+4x^3+5x^4).0<=x<=2 (1) secify the density g of the random variable Y you find for the acceptance rejection method. (2) what is the value of c you choose to use for the acceptance rejection method (3) use the acceptance rejection method to generate a random sample of size 1000 from the distribution of X .graph the density histogram of the sample and compare it with the density function f(x)