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3, Let X be a normal random variable with μ (a) If P(Xc)-0.791, what is the...
Let X be an exponential random variable such that P(X < 27) = P(X > 27). Calculate E[X|X > 23].
6) Assume X is a normally distributed random variable with mean μ= 53 and standard deviation σ-12. Find P(52<X< 62). A) 0.5137 B)0.4269 C) 0.3066 D) 0.2108 E) 0.3635
If X is a normal random variable with μ =-2 and σ = 3, and has probability density function and cumulative density function fx (z), FX (z), calculate . P(-3< X < 0) F(1/4
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-csz<c)=0.9426 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. x 3 ? Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(0.55 <<c) -0.2624 Carry your intermediate computations to at least four decimal places. Round your answer to...
9. Let X be a Poisson random variable with parameter k = 3. (a) P[X 25] (b) Find P[5 S X <10) (c) Find the variance ? 10. Use the related Table to find the following: (here Z represents the standard normal variable) (a) P[Z > 2.57] (b) The point z such that PL-2 SZ sz]=0.8
Let X be a continuous random variable. Prove that: P(21-; < X < xạ) = 1 - a.
Example 46. Let X be a random variable with PDF liſa - 1), 1<a < 3; f(a) = { à(5 – a), 3 < x < 5; otherwise. Find the CDF of X. @ Bee Leng Lee 2020 (DO NOT DISTRIBUTE) Continuous Random Var Example 46 (cont'd). Find P(1.5 < X < 2.5) and P(X > 4).
6. Let X be a normal random variable with mean u = 10. What is the standard deviation o if it is known that p (IX – 101 <>) =
number? 10 3. Let X be a continuous random variable with a standard normal distribution. a. Verify that P(-2 < X < 2) > 0.75. b. Compute E(지)· 110]
6. (5 marks) Suppose Y is a Normal random variable. If P(Y <1)=0.25 and P(Y > 0)=0.9. what are y, and o?