Suppose X is a normal random variable having mu equals30 and sigma equals2. Find the value b such that P(X>b)=0.8159.
Suppose X is a normal random variable having mu equals30 and sigma equals2. Find the value...
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!
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...
Assume the random variable x is normally distributed with mean mu equals80 and standard deviation sigma equals 5. Find the indicated probability. P(68less thanxless than71) P(68less thanxless than71)equals nothing (Round to four decimal places as needed.)
Let X be a random variable with finite mean mu and such that E[(X - mu)^2] is finite. Then the variance of X is defined to be E[(X - mu)^2], denoted as sigma^2. Using this expected value expression: sigma^2 = E[(X - mu)^2], show that the variance, sigma^2 = E(X^2) - mu^2
Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100. 1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks) 2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2? 3. What...
Suppose a random variable x is best described by a normal distribution with = 60 and sigma=16. Find the z-score that corresponds to the value x = 0. 0 -3.75 0-16 O 16 0 3.75
1) Suppose you have a normal distribution with known mu = 11 and sigma = 6. N(11,6). Using the 68,95,99.7 rule, what is the approximate probability that a value drawn from this distribution will be: a. Between 5 and 17? b. Between -1 and 23? c. Greater than 16? d. Less than -1? e. Less than 23? 2) Suppose you have a normal distribution with known mu = 8 and sigma = 2. N(8,2). Compute the Z---score for: a. X...
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>38)=
Suppose we are testing the null hypothesis Ho: mu = 20 and the alternative Ha: mu does not equal 20, for a normal population with sigma = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is X bar = 17.6. The P-value is closest to (A) 0.0164 (B) 0.0668 (C) 0.1336 (D) 0.0082
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).