A random variable x has the probability distribution as follows:
x | 1 | 2 | 3 | 4 | 5 |
P(x) | 0.1 | 2k | 0.4 | 0.25 | 0.1 |
a. Find k.
b. Construct a probability histogram to describe P(x).
0.1+2k+0.4+0.25+0.1=1
2k=0.15
k=0.075
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