Multiple Choice
A factory produces lightbulbs in batches of 50. The probability distribution for the number of defective lightbulbs in a randomly selected batch is shown below. Find the expected value.
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5. Binomial Distribution & Discrete Random Variables
Discrete Random Variables
Multiple Choice
Which of the following is NOT a discrete random variable?
A
The number of customers who visit a coffee shop each day.
B
The number of defective products in a shipment of 500 items.
C
The number of employees in a company's human resources department.
D
The annual revenue of a technology startup (in dollars).
Verified step by step guidance1
Understand the definition of a discrete random variable: A discrete random variable is one that can take on a countable number of distinct values. These values are often integers and can be listed out.
Examine each option to determine if it can be considered a discrete random variable. For example, the number of customers visiting a coffee shop each day can be counted and listed as distinct integer values.
Consider the number of defective products in a shipment. This is also countable and can be represented as distinct integer values, making it a discrete random variable.
Evaluate the number of employees in a company's human resources department. This is a countable number and can be represented as distinct integer values, qualifying it as a discrete random variable.
Analyze the annual revenue of a technology startup. Revenue is typically measured in continuous terms (dollars and cents) and can take on any value within a range, making it a continuous random variable rather than a discrete one.
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