Simplified stock market Suppose there are three kinds of days: GOOD, GREAT, and ROTTEN. The following table gives the frequency of each of these types of days and the effect on the price of a certain stock on that day. Type of Day  |  Frequencey  | Change in value --------------------------------------------- GOOD         |   60 %       |   +2 GREAT        |   10 %       |   +5 ROTTEN       |   30 %       |   -4 The type of a given day is independent of the type of any other day. Let X be the random variable giving the change in value of the stock after 1 day.

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Simplified stock market

Suppose there are three kinds of days: GOOD, GREAT, and ROTTEN. The following table gives the frequency of each of these types of days and the effect on the price of a certain stock on that day.


Type of Day  |  Frequencey  | Change in value
---------------------------------------------
GOOD         |   60 %       |   +2
GREAT        |   10 %       |   +5
ROTTEN       |   30 %       |   -4


The type of a given day is independent of the type of any other day. Let X be the random variable giving the change in value of the stock after 1 day. 


a. What is the expected change in the stock price? (That is, find E(X))


b. Calculate Var(X).


Note: Give your answer in decimal form, round to the nearest hundredths place.

Expert Solution
Step 1: Given Information:

Consider the provided data:

Type of DayFrequencyChange in Value
Good60%+2
Great10%+5
Rotten30%-4
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