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mart [117]
3 years ago
15

Ask Your Teacher The "random walk" theory of securities prices holds that price movement is disjoint time periods which independ

ent of each other. Suppose that we only record whether the price is up and down per year. The probability that our portfolio rises in price in any one year is 0.65. Give all answers with 2 decimal places.
Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

A: Since disjoint, P(up AND up AND up) = P(up) P(up) P(up) = .653= .27

A: Disjoint, so previous years have no effect on this year. 1-.65 = .35

A: Same direction; two different probabilities. P(up AND up) = .652 = .42. P(down AND down) = .352= .12. .42 + .12 = .55

Step-by-step explanation:

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olga nikolaevna [1]
To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.

Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.

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V125BC [204]
Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

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