• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied...
• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x) = 1:21 25 0 :-5 < x < 5 : otherwise a) Calculate E(X) b) Calculate P[X<2|X> -1] c) What is P[-1 <X<3]?
Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x)={|x|37:−5<x≤70:otherwise a) Calculate E(X) b) Calculate P[X<4|X> -2] c) What is P[ -1 <X< 4]?
• Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: f(x) = { 12 17 0 :-3 < x <5 : otherwise Answer with a rational or Decimal 0.1234 a) Calculate E(X) b) What is [X<2|X>- 1] ? c) What is P[ -1 <x< 3]?
Question 3 10 pts • Water temperatures (Centigrade) over a period of one Summer day in the Arctic has varied according to the following pdf: :-5 < x < 7 f(x) = : otherwise a) Calculate E(X) I b) Calculate P[X<41X>-2] c) What is P[ -1 <x< 4]?
A shop has determined that the number of bottles of water they sell on a summer day is a function of the day's high temperature, and is approximately given by N(H)=2H+31, where H is the day's high temperature, and 80≤H≤110. Suppose that the predicted high temperatures for the net 7 days are given in the table below. Q2.1 Part a) Express the high temperature as a function of the day. Q2.2 Part b) Use this function and the function provided...
Daily Temperatures and the Effect of Cloud Cover The questions below refer to the daily temperature graph in Figure 14.10, which is for a midatitude city on a clear day in carty summer 1. At what time does the coolest temperature occur? 2. At what time does the warmest temperature occur? 3. What is the daily temperature range (difflerence between maximum and minimum temperatures for the dayj? Daly temperature rangr 4 What is the daly mean temperature (average of the...
4. One of the two signals s and s,+E is transmitted over a channel with additive noise characterized by the Laplacian pdf f(n) y<e Let the prior message probabilities be: P -P a theshid e, chooses message The receiver compares the channel output y x+n to '0' when y, and chooses '1' when y> e. Derive an expression for the threshold that minimizes the probability of error, (20pts) Note that the Leibnitz rule: B(a F(a)= If(x)dxc (a) A(a) aE(a)fB(a)a)-fA@ 4....
16. The graph below shows the amount of water in a pond over a period of 7 hours. One of the following values is the number of hours the amount of water in the pond remained constant. Which one? 6 + + amount of water (1,000s of gallons) + + Awwa 0 1 6 2 3 4 5 time (hours) 7
A random variable X following the Bernoulli distribution with shape param- eter p has probability density function (pdf) given by f(x) = p x (1 − p) 1−x x = 0, 1 0 otherwise Show that a) P1 x=0 f(x) = 1 [5 Marks] b) E[X]=p [5 Marks] c) Var[X]=p(1-p) [5 Marks] d) the MGF of X is given by (1 − p) + pet
Show all work! Thank you! kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...