4.) a.) Suppose that X is a normal random variable with mean 4. If P[X >...
9] Suppose X is Normal random variable with mean 10 and SD 4. What is the probability that X is between 7 and 13? [10] Suppose X is Normal random variable with unknown mean mu and SD 4. For what value of mu, 80th percentile of X will be 23? (11] Lifetime of Carbon 14, X, is modeled by Exponential distribution with mean of 8223.7 years Determine its half-life (50th percentile).
(b) Suppose that the random variable X has a normal distribution with mean μ and standard deviation σ. Which of the following is correct about the value x-μ+.28ơ i. The z-score of x is-0.58. ії. x is approximately .61 standard deviations above the mean. iii. There is approximately 39% chance of getting a value that is larger than x. iv. There is approximately 61% chance of getting a value that is larger than T v. r is approximately the 39th...
Suppose X and Y are independent random variables with Exponential(2) distribution (Section 6.3). We say X ~ Exponential(2) if its pdf is f(x) = -1/2 for x > 0.
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value: a) between 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
Suppose that X is a random variable that has a normal distribution with mean u= 5 and standard deviation o = 10. Evaluate the following probabilities: (a) Pr(X > 10) (b) Pr(X < 2) (c) Pr(6 < X < 11) (d) Pr((X – 10)2 < 12)
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
Suppose x is a normal distribution random variable with mean 10 and standard deviation 1.5. Find a value of xo such that p(x>xo)=90%. Group of answer choices 10+(-0.25)*1.5 10+1.28*1.5 10+(-1.28)*1.5 10+(-0.1)*1.5
1. State three properties of the normal distribution. [3 marks) (a) Suppose that X is a normal random variable with mean 5. If P{X > 9} = 0.2, approximately what is Var(X)? - [3 marks] (b) Let Y be a normal random variable with mean 12 and variance 4. Find the value of c such that P{Y > c} = 0.10. [3 marks)
4) Suppose a random variable X has theprobability distribution with a: o 1 -2 0 1 2 0.3 0.1 p 0.4 . then p - ,P(X2 22) = ,, and E(X) = - 5) Suppose X~Bin(10,0.4), Y-2X+5, then E(Y) = ,Var(Y) 6) Suppose X-NC-3,4) and Y~N(2,9), X and Y are independent, then Var(X-2Y)