1. What are the steps in computing the mean of a probability distribution of a randomvariable?2. What does the variance and standard deviation of a probability distribution tells usabout the random variable X?3. Which formula is easier to use in finding the variance and standard deviation of aprobability distribution?mobr 1. A researcher surveyed the households in a remote area. The random variable Xrepresents the number of electronic device in a household. The probabilitydistribution of X is shown below.40.10.100.40P(x)0.180.300.02Find the expected value and variance of the random variable X.2. The weekly demands for Strawberry Shortcake in a certain store are shown belowtogether with the associated probabilities.Demand14Probability0.150.350.400.10Determine the expected demand for Strawberry Shortcake in that certain store.3. Find the variance and standard deviation of the probability distribution of the randomvariable X if P(x) =x+1for X = 1,2,3,4 and 5.2014

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

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

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