91Ó°ÊÓ

Random selection mainly refers to selecting something randomly by a researcher from a large number of sample units. In statistics, this thing is applicable while conducting any statistical test.

Since there are four types of robots, there can be four values of x.The values are the robots with two legs, robots with three legs, robots with four legs, the robots with two legs and wheels, and the robots without legs.

The possible values of x, which represent the type of robots, are shown below:

$\mathbf{\text{x=}}\mathbf{\left(}\mathbf{\text{°Õ·É´Ç l±ð²µ²õ, t³ó°ù±ð±ð l±ð²µ²õ, f´Ç³Ü°ù l±ð²µ²õ, l±ð²µ²õ a²Ô»å w³ó±ð±ð±ô²õ,²Ô´Ç±ô±ð²µ²õ }}\mathbf{\right)}$

The total number of robots of a specific type is listed below, along with the associated probability distribution:

The possible values of x, which represent the type of robots, are shown below:

$\begin{array}{c}\mathbf{\text{E}}\mathbf{\left(}\mathbf{\text{x}}\mathbf{\right)}\mathbf{\text{=Numberofrobotswithtwolegs}}\mathbf{\left(}\mathbf{\text{²¹²õ²õ´Ç³¦¾±²¹³Ù±ð»å p°ù´Ç²ú²¹²ú¾±±ô¾±³Ù²â}}\mathbf{\right)}\\ \mathbf{\text{+Numberofrobotswiththreelegs}}\mathbf{\left(}\mathbf{\text{²¹²õ²õ´Ç³¦¾±²¹³Ù±ð»å p°ù´Ç²ú²¹²ú¾±±ô¾±³Ù²â}}\mathbf{\right)}\\ \mathbf{\text{+Numberofrobotswithfourlegs}}\mathbf{\left(}\mathbf{\text{²¹²õ²õ´Ç³¦¾±²¹³Ù±ð»å p°ù´Ç²ú²¹²ú¾±±ô¾±³Ù²â}}\mathbf{\right)}\\ \mathbf{\text{+Numberofrobotswithtwolegsandwheels}}\mathbf{\left(}\mathbf{\text{²¹²õ²õ´Ç³¦¾±²¹³Ù±ð»å p°ù´Ç²ú²¹²ú¾±±ô¾±³Ù²â}}\mathbf{\right)}\\ \mathbf{\text{+Numberofrobotswithnolegs}}\mathbf{\left(}\mathbf{\text{²¹²õ²õ´Ç³¦¾±²¹³Ù±ð»å p°ù´Ç²ú²¹²ú¾±±ô¾±³Ù²â}}\mathbf{\right)}\\ \mathbf{\text{=50}}\mathbf{\left(}\mathbf{\text{0.47}}\mathbf{\right)}\mathbf{\text{+5}}\mathbf{\left(}\mathbf{\text{0.05}}\mathbf{\right)}\mathbf{\text{+8}}\mathbf{\left(}\mathbf{\text{0.08}}\mathbf{\right)}\mathbf{\text{+8}}\mathbf{\left(}\mathbf{\text{0.08}}\mathbf{\right)}\mathbf{\text{+35}}\mathbf{\left(}\mathbf{\text{0.33}}\mathbf{\right)}\\ \mathbf{\text{=36.58}}\end{array}$

36.58 is the calculated mean calculated in step 1, but it has a certain interpretation.The value of 36.58 indicates that the researcher will pick up 37.58 robots with legs.