Solve the Problem $\lambda$ = 33 Construct a Probability Table for the Random Variable
X

question 125

Multiple Choice

Solve the problem.
-A naturalist leads whale watch trips every morning in March. The number of whales seen X, has a Poisson distribution with parameter $\lambda$ = 3.3. Construct a probability table for the random variable
X. Compute the probabilities for 0 - 5 sightings.

• A)
• \(\begin{array}{c|c}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.037 \\
• 1 & 0.122 \\
• 2 & 0.201 \\
• 3 & 0.221 \\
• 4 & 0.182 \\
• 5 & 0.012
• \end{array}\)
• B)
• \(\begin{array}{c|c}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.037 \\
• 1 & 0.122 \\
• 2 & 0.201 \\
• 3 & 0.221 \\
• 4 & 0.182 \\
• 5 & 0.120
• \end{array}\)
• C)
• \(\begin{array}{c|c}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.037 \\
• 1 & 0.122 \\
• 2 & 0.021 \\
• 3 & 0.221 \\
• 4 & 0.182 \\
• 5 & 0.120
• \end{array}\)
• D)
• \(\begin{array}{c|c}
• \mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\
• \hline 0 & 0.370 \\
• 1 & 0.122 \\
• 2 & 0.201 \\
• 3 & 0.221 \\
• 4 & 0.182 \\
• 5 & 0.120
• \end{array}\)

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Definitions:

Market Efficiency

A condition in which market prices fully reflect all available information and assets are priced accordingly.

Price Ceiling

A government-imposed limit on how high a price can be charged on a product or service, typically set below the equilibrium price to make goods more affordable.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price over a specified period.

Quantity Supplied

The amount of a good or service that sellers are willing and able to sell at a particular price over a specified period.