An investor has six stocks that she follows each day. The random variable being studied is X, the number of stocks that increases in value each day. The probability function for this III. variable is shown below. 1 4 6 f(x)=P[X%3Dx 0.34 .30 .20 .10 .05 .01 a. Find the probability that on a given day, the majority of the stocks will increase in value. b. Find the probability that on a given day, at least 2 of the stocks will increase in value.

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An investor has six stocks that she follows each day. The random variable being studied is
X, the number of stocks that increases in value each day. The probability function for this
III.
variable is shown below.
3
4
f(x)=P[X3DX
0.34
.30
.20
.10
.05
.01
a. Find the probability that on a given day, the majority of the stocks will increase in
value.
b. Find the probability that on a given day, at least 2 of the stocks will increase in
value.
IV.
Solve the mean and variance of the following discrete random variable.
X
4
p(x)
0.2
0.2
0.6
Transcribed Image Text:An investor has six stocks that she follows each day. The random variable being studied is X, the number of stocks that increases in value each day. The probability function for this III. variable is shown below. 3 4 f(x)=P[X3DX 0.34 .30 .20 .10 .05 .01 a. Find the probability that on a given day, the majority of the stocks will increase in value. b. Find the probability that on a given day, at least 2 of the stocks will increase in value. IV. Solve the mean and variance of the following discrete random variable. X 4 p(x) 0.2 0.2 0.6
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