Suppose that X is a random variable that has a normal distribution with mean u= 5...
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 <>) =
2. If X and Y are independent random variables, X has a normal distribution with mean 2 variance 4, and Y has a chi-square distribution with 9 degrees of freedom, then find u such that P(X > 2+11,7)=0.01.
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
7. Suppose the random variable U has uniform distribution on [0,1]. Then a second random variable T is chosen to have uniform distribution on [O, U] Calculate P(T > 1/2)
A random variable, x, has a normal distribution with u = 11.6 and 6 = 2.50. Determine a value, Xo, so that a. P(x>xo) = 0.05. b. P(xsxo) = 0.975. c. P(H-Xo xxx H +0) = 0.95. a. Xo = (Round to one decimal place as needed.) b. Xo (Round to one decimal place as needed.) C. XO (Round to one decimal place as needed.)
The cumulative distribution function of the random variable X is given by F(x) = 1-e-r' (z > 0). Evaluate a) P(X > 2) b) P(l < X < 3 c) P(-1 〈 X <-3). d) P(-1< X <3)
2 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]
4.) a.) Suppose that X is a normal random variable with mean 4. If P[X > 9} = 0.1 approximately what is Var(X)? (15 points) b.) Measure the number of kilometers traveled by a given car before its transmission ceases to function. Suppose that this distribution is governed by the exponential distribution with mean 800,000. What is the probability that a car's transmission will fail during its first 40,000 kilometers of operation? (10 points)
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)
please help me. Thanks in advance 7. Suppose the random variable U has uniform distribution on [0, 1]. Then a second random variable T is chosen to have uniform distribution on [0, U]. Calculate P(T > 1/2).