suppose a student either has 12 or 3 finals to take each wit

suppose a student either has 1,2, or 3 finals to take each with a respective probability of .19, .47, and .34. What is a student\'s expected number of finals? what is the standard deviation?

Solution

Thus we have E(X) = 2.15 = Mean

Variance = E(X^2)-2.15^2

= 5.13- 4.6225=0.5075

std dev = square root of variance = 0.7124

x 1 2 3 Total
p 0.19 0.47 0.34 1
px 0.19 0.94 1.02 2.15
x^2p 0.19 1.88 3.06 5.13
suppose a student either has 1,2, or 3 finals to take each with a respective probability of .19, .47, and .34. What is a student\'s expected number of finals? w

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