1. Define the random variable, Y, for this scenario.2. Compute the probability that the number of insect fragments in a 5-gram sample of peanut butter is exactly two.3. Compute the probability that the number of insect fragments in a 5-gram sample of peanut butter is fewer than two.4. Compute the probability that the number of insect fragments in a 5-gram sample of peanut butter is at least two.5. Compute the probability that the number of insect fragments in a 5-gram sample of peanut butter is between three and five, inclusive.6. Compute the probability that the number of insect fragments in a 10-gram sample of peanut butter is exactly six.7. Compute the probability that the number of insect fragments in a 2-gram sample of peanut butter is exactly one.

D The Food and Drug Administration sets a Food Defect Action Level (FDAL) for the various foreign substances that inevitably end up in the food we eat and liquids we drink. For example, the FDAL for insect lth in peanut butter is 0.3 insect fragment (larvae, eggs, body parts, and so on) per gram. Suppose that a supply of peanut butter contains 0.3 insect fragment per gram. When answering probability questions, the probability statement with the random variable is required and round values to 4 decimal places. A note on the symbols used in probability statements: :greater than =: greater than or equal to