Are X1 and X2 independent? If so, note that and .Here is the Q)
You have two instruments (1 and 2) to measure the height of a building. Suppose the buildings true height is 120 metres. Measurements with Instrument 1 vary with a mean of 120m and a standard deviation of 1.2m. Measurements with Instrument 2 vary with a mean of 120m and a standard deviation of 0.85m.
You make one measurement with each instrument. Let X1 = your measurement using Instrument 1 and X2 = your measurement using instrument 2.
Random variable W = measurement variable where:
W = 1/3 * X1 + 2/3 * X2
A) Calculate the mean of W
B) Find the standard deviation of W.
Im unsure as to what X1 and X2 are considering i have 2 measurements for each instrument.
Any help appreciated thanks.