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A random variable, x, has a normal distribution with u = 11.6 and 6 = 2.50....
A random variable, x, has a normal distribution with u = 15.9 and o = 2.80. Determine a value, Xo, 50 that: a. P(x>xo) -0.05 Хо (Round to one decimal place as needed.) b. Plxsxo) = 0.975 Хо (Round to one decimal place as needed.)
A random variable, x, has a normal distribution with p - 15.9 and 0 = 2,80. Determine a value, x0, 50 that: a. P(x>xo) -0.05 XO (Round to one decimal place as needed.) b. Pixsxo) -0.975 Xo (Round to one decimal place as needed.)
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 <>) =
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
10) The X random variable has a normal distribution. P(X > 15) = 0.0082 and P(X<5) = 0.6554 find the mean and variance of this distribution
2. A random variable X has a cdf given by F(x) = 1 . x < 0 0 < x < 1 <3 x > 3 11, (f) What is P(X = 1)? (g) Find E(X), the expectation of X. (h) Find the 75th percentile of the distribution. Namely, find the value of 70.75 SO that P(X < 70.75) = F(710.75) = 0.75. (i) Find the conditional probability P(X > X|X > 3).
2 of 3 01- 5. Suppose X is a discrete random variable that has a geometric distribution with p= a. Compute P(X > 6). [5] b. Use Markov's Inequality to estimate P(X > 6). [5] c. Use Chebyshev's Inequality to estimate P(X > 6). (5)
Let X be a discrete random variable that follows a Poisson distribution with = 5. What is P(X< 4X > 2) ? Round your answer to at least 3 decimal places. Number
9. The distribution function of a random variable X is given by 0, for r<-1, F(x) = { 271 -1<x<1, 1, 2 > 1. Find (a) P(Z < X < }); (b) P(1<x< 2).