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score on last try: 0.25 of 1 pts. see details for more. at least one sc…

Question

score on last try: 0.25 of 1 pts. see details for more. at least one scored part is incorrect. jump to first changeable > next question get a similar question you can re consider the discrete random variable x given in the table below standard deviation of x. round answers to two decimal places.

x310121419
p(x)0.130.590.120.080.08

μ = 10.37
σ² = 14.47
σ = 3.80
what is the expected value of x? submit question

Explanation:

Step1: Recall expected - value formula

The formula for the expected value $E(X)=\mu=\sum_{i}x_{i}P(x_{i})$.

Step2: Calculate the sum

$E(X)=(3\times0.13)+(10\times0.59)+(12\times0.12)+(14\times0.08)+(19\times0.08)$
$=0.39 + 5.9+1.44 + 1.12+1.52$
$=10.37$

Answer:

$10.37$