1. What are the steps in computing the mean of a probability distribution of a random variable? wole

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1. What are the steps in computing the mean of a probability distribution of a random
variable?
2. What does the variance and standard deviation of a probability distribution tells us
about the random variable X?
3. Which formula is easier to use in finding the variance and standard deviation of a
probability distribution?
mobr
Transcribed Image Text:1. What are the steps in computing the mean of a probability distribution of a random variable? 2. What does the variance and standard deviation of a probability distribution tells us about the random variable X? 3. Which formula is easier to use in finding the variance and standard deviation of a probability distribution? mobr
1. A researcher surveyed the households in a remote area. The random variable X
represents the number of electronic device in a household. The probability
distribution of X is shown below.
4
0.
1
0.10
0.40
P(x)
0.18
0.30
0.02
Find the expected value and variance of the random variable X.
2. The weekly demands for Strawberry Shortcake in a certain store are shown below
together with the associated probabilities.
Demand
1
4
Probability
0.15
0.35
0.40
0.10
Determine the expected demand for Strawberry Shortcake in that certain store.
3. Find the variance and standard deviation of the probability distribution of the random
variable X if P(x) =
x+1
for X = 1,2,3,4 and 5.
20
14
Transcribed Image Text:1. A researcher surveyed the households in a remote area. The random variable X represents the number of electronic device in a household. The probability distribution of X is shown below. 4 0. 1 0.10 0.40 P(x) 0.18 0.30 0.02 Find the expected value and variance of the random variable X. 2. The weekly demands for Strawberry Shortcake in a certain store are shown below together with the associated probabilities. Demand 1 4 Probability 0.15 0.35 0.40 0.10 Determine the expected demand for Strawberry Shortcake in that certain store. 3. Find the variance and standard deviation of the probability distribution of the random variable X if P(x) = x+1 for X = 1,2,3,4 and 5. 20 14
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