How about this?
SHARRI M asked:
5.A venture capital company feels that the rate of return (X) on a proposed investment is normally distributed with a mean of 30% and a standard deviation of 10%. Find the probability that the return will exceed 55%.
a)Define the random variable for this problem
b)Write the probability statement for this problem
c) Solve the problem
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Filed Under Mathematics |
Tagged With Probability, Problem C, Venture Capital Company
Comments
2 Responses to “How about this?”
a. x is the RV of rate of return
b. P(x > 0.55)
c.
P(x < 0.55) = P((x - .55) / 0.1) < (.55 - .30) / 0.1) = P(Z < 2.50) = 0.9938.
P(x > 0.55) = 1 - 0.9938 = 0.0062
Convert to the standard normal variable z using the formula
z = (x - mean)/(standard deviation) and then use tables of z. You may have to find P(x > 55) by doing 1 - P(x < 55).