Consider the joint probability distribution of X and Y: x = 0 x = 1 P(y) _y = 0 y = 1 P(x) 0.5 0.2 0.7 0.1 0.2 0.3 0.6 0.4 1 What is pxr (rounded to four decimal places)?

I need help with C and D

Consider the following probability distribution 2. P(X) 0.39 0.16 0.15 0.3 E(X) = Select one: O a. none ОБ.1.75 Ос 1.36 O d. 1 3.

An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, XX, is as follows: xixi  1 2 3 4 5 6 Total P(X=xi)P(X=xi)  0.15 0.16 0.33 0.2 0.11 0.05 1 The expected value is computed, E[X]=3.11E[X]=3.11. To find the variance and standard deviation the following table was set up:  xixi   P(X=xi)P(X=xi)   (xi−E[X])2(xi-E[X])2   (xi−E[X])2P(X=xi)(xi-E[X])2P(X=xi)  1 0.15  (1−3.11)2=(−2.11)2=4.4521(1-3.11)2=(-2.11)2=4.4521   4.4521⋅0.15=0.66784.4521⋅0.15=0.6678  2    (2−3.11)2=(−1.11)2=1.2321(2-3.11)2=(-1.11)2=1.2321   1.2321⋅0.16=0.19711.2321⋅0.16=0.1971  3 0.33 (3−3.11)2=(−0.11)2=(3-3.11)2=(-0.11)2=   0.0121⋅0.33=0.0040.0121⋅0.33=0.004  4 0.2  (4−3.11)2=(0.89)2=0.7921(4-3.11)2=(0.89)2=0.7921   0.7921⋅0.2=0.7921⋅0.2=  5    (5−3.11)2=(1.89)2=3.5721(5-3.11)2=(1.89)2=3.5721   3.5721⋅0.11=0.39293.5721⋅0.11=0.3929  6 0.05    8.3521⋅0.05=0.41768.3521⋅0.05=0.4176  E[X]=3.11E[X]=3.11     Total:…