FIGURE P39.33 shows the probability density for finding a particle at position x. a. Determine the value

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FIGURE P39.33 shows the probability density for finding a particle at position x.

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a. Determine the value of the constant a, as defined in the figure.b. At what value of x are you most likely to find the particle? Explain.c. Within what range of positions centered on your answer to part b are you 75% certain of finding the particle?d. Interpret your answer to part c by drawing the probability density graph and shading the appropriate region.

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