Answer:
1.)Step 1: List all simple events in sample space. Step 2: Find probability for each simple event. Step 3: List possible values for random variable X and identify the value for each simple event. Step 4: Find all simple events for which X = k, for each possible value k.
2.)A continuous variable is a variable whose value is obtained by measuring.
3.)A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring.
4.)A probability distribution depicts the expected outcomes of possible values for a given data generating process. Probability distributions come in many shapes with different characteristics, as defined by the mean, standard deviation, skewness, and kurtosis.
5.)This type of distribution is useful when you need to know which outcomes are most likely, the spread of potential values, and the likelihood of different results. In this blog post, you'll learn about probability distributions for both discrete and continuous variables.
Explanation
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