(Please help me I need these answers or I will end up failing my class) 8-11. Tell whether the events are independent or dependent and then find
each probability. There are 5 gray, 4 red, 5 white, 2 green, and 2 navy
marbles in a hat. Show all work.
8. P(red, not green) with replacement
9. P(navy, white) without replacement
10. P(gray, gray) with replacement
11. P(gray, gray) without replacement

what does with and without replacement mean?

the total number of marbles is 18

8.4/18 for the red and 16/18 for not green

9.7/18 for Navy and 5/17 for white

10.5/18 and then 5/18

11. 5/18 and 5/17

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%