uestion 4 The ten year extreme wave height (H) at a site of interest for offshore drilling and extraction can be assumed to floow Rayleigh distribution with a mean wave height of 16 ft. ( mean wave height = 2.5 x a). Determine the following: • Probability of a wave height greater than 24 feet. • Probability of a wave height less than or equal to 18 feet. Probability of seeing a wave less than or equal to 24 feet, but greater than 18 feet. What is the one in 50000 wave height? (i.e. the wave height that has a probability of 0.002% of being exceeded.)

A First Course in Probability (10th Edition)
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Question 4
The ten year extreme wave height (H) at a site of interest for offshore drilling and
extraction can be assumed to floow Rayleigh distribution with a mean wave height of 16
ft. ( mean wave height = 2.5 x o). Determine the following:
• Probability of a wave height greater than 24 feet.
• Probability of a wave height less than or equal to 18 feet.
• Probability of seeing a wave less than or equal to 24 feet, but greater than 18 feet.
• What is the one in 50000 wave height? (i.e. the wave height that has a probability
of 0.002% of being exceeded.)
Transcribed Image Text:Question 4 The ten year extreme wave height (H) at a site of interest for offshore drilling and extraction can be assumed to floow Rayleigh distribution with a mean wave height of 16 ft. ( mean wave height = 2.5 x o). Determine the following: • Probability of a wave height greater than 24 feet. • Probability of a wave height less than or equal to 18 feet. • Probability of seeing a wave less than or equal to 24 feet, but greater than 18 feet. • What is the one in 50000 wave height? (i.e. the wave height that has a probability of 0.002% of being exceeded.)
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