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yddlex
27.02.2020 •
Mathematics
Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick five stocks at random, what isthe probability that at least two of them will have a return of more than 12%.?
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Ответ:
The probability that at least two stocks will have a return of more than 12% is 0.1810.
Step-by-step explanation:
Let X = rate of return on stocks.
The random variable X follows a Normal distribution, N (9, 3²).
Compute the probability that a stock has rate of return more than 12% as follows:
**Use the z table for the probability.
The probability of a stock having rate of return more than 12% is 0.1587.
Now define a random variable Y as the number of stocks that has rate of return more than 12%.
The sample size of stocks selected is, n = 5.
The random variable Y follows a Binomial distribution.
The probability of a Binomial distribution is:
Compute the value of P (X ≥ 2) as follows:
P (X ≥ 2) = 1 - P (X < 2)
= 1 - P (X = 0) - P (X = 1)
Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.
Ответ:
C
Step-by-step explanation:
No, because for two triangles to be similar, the angles must be the exact same.