4-1. Suppose that f(x)-e-x for 0 < x. Determine the fol- lowing probabilities: (c) P(X= 3)...
41.Suppose that )-for o < lowing probabilities: (a) P(l < X) (b) P <X<2.5) (c)P(X= 3) (d) P(X< 4) (e) P3 s x) Determine the fol-
41.Suppose that )-for o < lowing probabilities: (a) P(l < X) (b) P <X<2.5) (c)P(X= 3) (d) P(X< 4) (e) P3 s x) Determine the fol-
41.Suppose that )-for o < lowing probabilities: (a) P(l < X) (b) P <X<2.5) (c)P(X= 3) (d) P(X< 4) (e) P3 s x) Determine the fol-
41.Suppose that )-for o < lowing probabilities: (a) P(l < X) (b) P <X<2.5) (c)P(X= 3) (d) P(X< 4) (e) P3 s x) Determine the fol-
41.Suppose that )-for o < lowing probabilities: (a) P(l < X) (b) P <X<2.5) (c)P(X= 3) (d) P(X< 4) (e) P3 s x) Determine the fol-
Suppose that f(x) -ex4) for 4 <x. Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765 a) P(1< X)= c) P(S < X)- d) P(8< X < 12)- e) Determine x such that P(X < x) = 0.68 . Round your answer to 3 decimal places (eg 98.765)
Suppose that f(x) - or 0<X<8 256 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765) (a) P(X < 2)=7456 (b) P(X< 9) = (d) P(X > 5)- 316 (e) Determine such that P(x x)-0.90 X6.302
[3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that \f'(x) < 1/(1 - 1z| for all z e D[0, 1]. [3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that f'(x) < 1/(1-1-12 for all z e D[0, 1]
Suppose that f (x) = 1.5X2 for -1 < X < 1 . Determine the following probabilities a) p(0<X) = 0.5 b) P(0.6< X)0.284 c) P(-0.5sX 0.5) = 0.125 (Round the answer to 3 decimal places.) Round the answer to 3 decimal places.) f) Determine x such that P(x < = 0.05 Round the answer to 3 decimal places.)
Suppose that NoP(X5)6 and P(X 2):2 find P( 3< X < 4).