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5. Janet is keeping her eye on a stock market index.
If the index rises today, then the probability that
she will make an investment tomorrow is 0.84.
However, if the index does not rise today, then
the probability that Janet will make an investment
tomorrow is 0.58. This particular index rises on
70% of days.
a. Draw a tree diagram to represent this
information. Complete the tree diagram by
writing all the relevant probabilities next to
the branches. Use decimals, not percentages,
for the probabilities.
b. What is the probability that the index rises but
Janet does not make an investment tomorrow?
Show your work. Use probability notation.
c. What is the probability that Janet makes an
investment tomorrow? Show your work. Use
probability notation.

Sagot :

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