• 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) = { 22 41 0 : -4 < 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) = { 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]?
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]?
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]?
3. Suppose we observe temperatures in several cities at noon on a particular day. The mean observed temperature is 20 degrees Centigrade; the standard deviation is 5 degrees. a) Degrees Fahrenheit are related to degrees Centigrade according to the formula (F = 32+1.8C). Suppose we were to convert the observed temperatures to degrees Fahrenheit. What would the mean temperature be in degrees Fahrenheit? What would the standard deviation be? b) Temperatures can be expressed in standard units. Suppose the temperature...
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...
1. Let Ni be a random variable characterized by a mixed Poisson distribution with the mixing distribution defined by the pdf fax) = 9.ce-31 for x > 0 and 0 otherwise, N, be a random vari- able characterized by a mixed Poisson distribution with the mixing distribution defined by the pdf f(x) = 4x²e-21 for x > 0 and 0 otherwise, and N3 be a random variable characterized by a mixed Poisson distribution with the mixing distribution defined by the...
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
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