1) given mu = 20 and sigma = 3
a) probability(x<18)
b)probability(x>21)
2) given mu = 50 and sigma = 4
a) find 90% confidence interval
b) find 94%
1) given mu = 20 and sigma = 3 a) probability(x<18) b)probability(x>21) 2) given mu =...
Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population...
1. X ~ N(mu = 3,sigma=10) Y=2X+4 E(Y) = ? 2. X ~ N(mu = 3,sigma=10) Y=2X+4 V(Y) = ? 3. If X and Y are independent then E(XY) =E(X)*E(Y) True or False? 4. If Cov(X,Y) = 0 then X and Y are independent True or False? 5. If Y_1 ~ N( 1, sigma =2) and Y_2 ~ N(-2, sigma^2 = 16) and Y_1 is independent of Y_2. If l = 2Y_1 - 3Y_2 find E(l) 6. If Y_1 ~...
For the following data: 1 2 3 4 5 6 16 20 18 17 18 21 a. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.3? d. Calculate the 95% confidence interval using the sample standard deviation. c.
A geometric Brownian motion has parameters mu= 0.2 and sigma=2. What is the probability that the process is above 4 at time t=4, given that it starts at 3. Round answer to 3 decimals.
Determine mu Subscript x overbarμx and sigma Subscript x overbarσx from the given parameters of the population and sample size. muμequals=90 sigmaσequals=19 nequals=32 mu Subscript x overbarμxequals=nothing sigma Subscript x overbarσxequals=nothing (Round to three decimal places as needed.)
Determine mu Subscript x overbarμx and sigma Subscript x overbarσx from the given parameters of the population and sample size. muμequals=73, sigmaσequals=18, nequals=36 mu Subscript x overbarμxequals=nothing
Suppose x is a normally distributed random variable with mu=50 and sigma = 3. find a value of the random variable, call it Xo, such that, 1) P(X ≤ Xo)= 0.8413 2) P(X > Xo)= 0.025 3) P(41≤X<Xo)=0.8630 Please show Work not in Excel!
2. For the following data: 1 2 3 4 5 6 16 20 18 17 18 21 a. Calculate the sample mean and sample variance b. Calculate the probability that the population mean is between 9 and 10 if the population standard deviation is known to be 2.3. What is the 95% confidence interval for the population mean if the population standard deviation is known to be 2.3? d. Calculate the 95% confidence interval using the sample standard deviation. c.
1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the probability that x is less than x0 is p0 = 0.95 what is the value for x0. 2.Giving a normal distribution with mean mu=35 and standard deviation sigma =10 where the probability that x is greater than x0 is 0.10. 3. Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the...
Determine mu Subscript x overbar μx and sigma Subscript x overbar σx from the given parameters of the population and sample size. μ equals=79, sigma σ equals=18 n equals=81