Mel Is Thinking of Going on a Cruise

question 74

Multiple Choice

Mel is thinking of going on a cruise. Mel values a cruise in nice weather at $2,000 and values a cruise in bad weather at $50. The probability of nice weather is 60 percent and the probability of bad weather is 40 percent. Trip insurance is sometimes available. If purchased, it allows travelers to delay the cruise until the weather is nice. Suppose that the price of the cruise is $1,200. If Mel is risk-neutral, then Mel should:

• A)not buy trip insurance.
• B)only buy trip insurance if it costs less than $780.
• C)only buy trip insurance if it costs less than $20.
• D)only buy trip insurance if it costs less than $50.

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Definitions:

Defective Bulbs

Refers to lightbulbs that fail to meet the quality standards or specifications and do not function as intended.

Binomial Random Variable

A type of random variable that follows the binomial distribution, representing the number of successes in a fixed number of independent trials, each with the same probability of success.

Discrete Random Variable

A variable that can take on a countable number of distinct values, often representing the outcomes of some random process.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or conditions.