Course 1 May 2000 Multiple Choice Exams - Society of Actuaries

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GENERAL INFORMATION 1. ln x is the natural logarithm of x . 2. R n is n-dimensional Euclidean space. 3. P X EX ( ) denotes the mean of a random variable X . 2 V X V XY U XY X i Var( X) denotes the variance of X . n ¦ Cov( X, Y) denotes the covariance of two random variables X and Y . Corr( X, Y) denotes the correlation coefficient of X and Y . Xi 1 denotes the mean of a sample X 1 ,..., X n . n 4. The Normal Distribution 1 Ix w / The table below gives the value of )( x) e 2 2 dw for certain values 2S f of x . The integer part of x is given in the top row, and the first decimal place of x is given in the left column. Since the density function of x is symmetric, the value of the cumulative distribution function for negative x can be obtained by subtracting from unity the value of the cumulative distribution function for x . x 0 1 2 3 Selected Points of the Normal Distribution (x) x 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.5000 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.9990 0.9993 0.9995 0.9997 0.9998 0.9998 0.9999 0.9999 1.0000 0.800 0.850 0.900 0.950 0.975 0.990 0.995 0.842 1.036 1.282 1.645 1.960 2.326 2.576 Course 1 2 May 2000
1. The probability that a visit to a primary care physician’s (PCP) office results in neither lab work nor referral to a specialist is 35% . Of those coming to a PCP’s office, 30% are referred to specialists and 40% require lab work. Determine the probability that a visit to a PCP’s office results in both lab work and referral to a specialist. (A) 0.05 (B) 0.12 (C) 0.18 (D) 0.25 (E) 0.35 May 2000 3 Course 1
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Course 1 May 2000 Multiple Choice Exams - Society of Actuaries

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