Only 60% of certain kinds of seeds germinate when planted

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QUESTION:

Only 60% of certain kinds of seeds germinate when planted under normal conditions. Suppose that four such seeds are planted, and X denotes the number of those that will germinate. Find the probability mass functions of X and Y = 2X + 1.

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QUESTION:

Only 60% of certain kinds of seeds germinate when planted under normal conditions. Suppose that four such seeds are planted, and X denotes the number of those that will germinate. Find the probability mass functions of X and Y = 2X + 1.

ANSWER:

Step 1 of 3

Let us consider  is the number of successes (where germination denotes successes) in a trial of  seeds, and the germination probability is , thus Thus

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