1. The price of a stock is * uniformly
distributed* between

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(a) What is the probability that the stock price will ** be
more than 37**?

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(b) What is the probability that
the stock price will be* less than or equal
to 32*?

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(c) What is the probability that
the stock price will be *between 34 and
38*?

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(d) Determine **the
expected price **of the stock.

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(e) Determine *the
standard deviation* for the stock price. *(to
2 digits)*

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2. A random variable ** X
**is

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(a) Determine the probability
of **X=48.**

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(b) What is the probability of
* ***X¡Ø60**?
**(to 4 digits)**

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(c) What is the probability of
** ***X¡Ù50*? **(to
4 digits)**

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(d) Determine* the standard
deviation* of *X. (to 2 digits)*

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3. ** The length of time**
patients must wait to see a doctor in a local clinic is

**uniformly distributed between 15 minutes
and 2.5 hours.
**

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(a) What is the probability of a patient waiting
** exactly 50 minutes**?

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(b) What is the probability that a patient would have to wait

*between ** 45
minutes and 2 hours*?

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(c) Compute the probability that a patient would
have to wait ** over 2 hours**?

*(to 3 digits)
*

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(d) Determine*
the expected waiting time*.

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