When pearl oysters are opened pearls of various sizes are fo

When pearl oysters are opened, pearls of various sizes are found. Suppose that each oyster contains a pearl with a diameter that varies evenly from 0 to 10 mm. Let D be the diameter of the pearl.

e) Pearls with a diameter of at least 4 mm have commercial value. Calculate the probability that an oyster contains a pearl of commercial value.

f) Suppose that a farmer retrieves ten oysters out of the water. Let the random variable P represent the number of them containing pearls of commercial value. Find the probability at least 8 of the oysters the farmer retrieves contain pearls of commercial value. Indicate what distribution(s) and parameter(s) you are using. Assume the oysters grow pearls independently of one another.

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