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In Problems 1–6, find the mean, variance, and standard deviation.
2.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- .If the variance of a Poison variate is 3. Find the probability that, ne. (1) X = 0 (ii) 1sx<4 eor (iii) 0arrow_forwardQ. 4 The pdf of the age-of babies, x years, being brought to a clinic is given by /(x) =D 제(2-x); 0arrow_forward8- Find the mean and variance of X? X 1 2 3 4 f(x) 1/9 2/9 3/9 2/9 1/9 a) 3, 2/3 1903 b) 2, 4/3 c) 3, 4/3 d) 2, 2/3arrow_forwardCheck whether the mean and the variance of the following distributions exist: a a. fx (x) = -00 < x< 0 (a is positive constant) T(a²+x²) b. fx(x) = {2* {2x3 x21 elsearrow_forwardExample 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 45, and (iii) |X – 30l > 5.arrow_forwardSuppose X = number of direct injuries occurring in a fire incident. Its PMF is given by x 0 1 2 3 4 5 6 7 f(x) 0.08 0.08 0.09 0.14 0.18 0.18 0.16 0.09 0.06 Determine the mean and variance of the number of direct injuries occurring in a fire incident. 8 0.06arrow_forward1 b) For any data set, approximately 95% of the observations fall in the interval (T − 2s, T+2s). True Falsearrow_forwardSuppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.04. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: O E(X)=0.4 and V(X)=0.384 O None of these O E(X)=0.5 and V(X)=0.475 E(X)=0.3 and V(X)=0.291arrow_forwardSuppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.03. Suppose that on a given day io patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: E(X)=0.4 and V(X)=0.384 O None of these O E(X)=0.5 and V(X)=0.475 O E(X)=0.3 and V(X)=0.291arrow_forward19. In Saint Tropez, the probability that it rains on a given day is 10%. Given that it rains, the amount of rain has a density of f(x) = (1/3)e-/3. Find the variance of the amount of rain on a given day. A. 0.9 B. 1.7 C. 3.0 E. 9.0 D. 4.4arrow_forwardCheck whether the mean and the variance of the following distributions exist: a. fx(x) = -00 < x < ∞ (a is positive constant) T(a²+x²) b. fx(x) = {2x3 x 2 1 else %3Darrow_forwardProve the followingarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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