40 B 1. (5 points) Suppose Z is a random variable that follows the standard normal...
1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a) Find P(Z > 0.45). b) Find P(0.7 SZ 1.6). c) Find 20.09. d) Find the Z-score for having area 0.18 to its left under the standard normal curve. e) Find the value of z such that P(-2SZS2) -0.5.
1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a) Find P(Z > 0.45). b) Find P(0.7 SZ 1.6). c) Find 20.09. d) Find the Z-score for having area 0.18 to its left under the standard normal curve. e) Find the value of z such that P(-2SZS2) -0.5. 3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion...
Assume Z is a random variable with a standard normal distribution and c is a positive number. If P(Z > c) = 0.25, then PC – c< < c) = 0.5. O True OFalse Exactly 50% of the area under the normal curve lies to the left of the mean. O True OFalse If X represents a random variable coming from a normal distribution and P(X < 5.2) = 0.5, then P(X > 5.2) = 0.5. O True O False
100% Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(-2.18 SZS -0.45) - Shade the corresponding area under the standard normal curve.
Determine the area under the standard normal curve that lies between (a) Z=−1.72 and Z=1.72, (b) Z=−2.89 and Z=0, and (c) Z=−0.43 and Z=0.96. Find the z-score such that the area under the standard normal curve to the left is 0.57. Find the z-score such that the area under the standard normal curve to the right is 0.11. The approximate z-score that corresponds to a right tail area of 0.11 is ___. Find the z-scores that separate the middle 31%...
Let z be a random variable with a standard normal distribution. Find P(0 ≤ z ≤ 0.40), and shade the corresponding area under the standard normal curve. (Use 4 decimal places.)
d the area under the standard normal curve that corresponds to the following Z values, e given bell shaped curves, identify, and shade the appropriate region: (1 point ea) Fin Use th 11) P(z > 2.37) 12) P(z< -1.26) 13) P (-0.85<z2.44) 14) Find the Z score for the standard normal distribution using the given bell shaped curve P( -z<Z<z)-0.95 15) Find the Z score for the standard normal distribution using the given bell shaped curve P(Z>z)-0.881000
Use a table of areas for the standard normal curve to find the required z-score. 5) Find the z-score having area 0.09 to its left under the standard normal curve.
Suppose X is a normal random variable with mean p = 49 and standard deviation o = 8. (a) Compute the z-value corresponding to X = 37. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.0668. What is the area under the normal curve to the left of X = 37? (c) What is the area under the normal curve to the right of X = 37?
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.24 ≤ z ≤ 2.64) = Shade the corresponding area under the standard normal curve.