How many strands should be expected in a culture after one week, if population

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pretty_chica

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is initialized at one strand? If,

A biologist observes the growth of bacteria strands in a culture and finds that both the probability of the birth of a strand and the probability of the death of a strand are proportional to the number of strands in the culture and to elapsed time. On the average, each strand produces a new strand every seven hours and dies after 30 hours.
 
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