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An Enzyme Can Catalyze a Reaction with Either of Two

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An enzyme can catalyze a reaction with either of two substrates, S1 or S2. The Km for S1 was found to be 2.0 mM, and the Km, for S2 was found to be 20 mM. A student determined that the Vmax was the same for the two substrates. Unfortunately, he lost the page of his notebook and needed to know the value of Vmax. He carried out two reactions: one with 0.1 mM S1, the other with 0.1 mM S2. Unfortunately, he forgot to label which reaction tube contained which substrate. Determine the value of Vmax from the results he obtained:
Tube number
Rate of formation of product
1
0.5
2
4.8
3
4
5

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Definitions:

E(x)

The expected value of a random variable x, representing the mean or average outcome.

Variance

A measure of how much values in a dataset differ from the mean of the dataset, indicating the spread of data points.

Discrete Probability Distribution

A statistical function that describes the probability of occurrence of each value of a discrete random variable.

Discrete Random Variable

A variable that takes on a countable number of distinct values and is often used to model scenarios where outcomes are distinct and separate.

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