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Answer on Question #82015 — Math — Statistics and Probability
Question
Given that 51.3% of all newly born children are boys; then what is the probability that in a sample of 5 newly born children; exactly 3 are boys.
Solution
P=C(3,5)∗0.5133∗(1−0.513)2=3!(5−3)!5!0.5133⋅0.4872=10∗0.135∗0.237=0.32
Answer: p=0.32.
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Given the following equations for a certain economy: Y = C + I + G + X (Income identity) C =100 +0.9Yd (Consumption function) I = 200 –500r (Investment function) X = 100 – 0.12Y –500r (Net export) G = 200 (Government purchases) T = 0.2 (Tax rate) L = Y-100r (Real money demand) M = 800 (Real money supply). Derive equations for IS and LM curves . Determine the r and y pair at which the two markets are clearing iii) Compute the values of C, I, X and L