Suppose x is a normal random variable with mean u and standard deviation o. If z...
Suppose X is a normal random variable with mean u = 50 and standard deviation o = 11. (a) Compute the z-value corresponding to X = 36. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.1016. What is the area under the normal curve to the left of X = 36? (c) What is the area under the normal curve to the right of X = 36? (a)...
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?
Suppose X is a normal random variable with mean p = 64 and standard deviation o=6. (a) Compute the z-value corresponding to X = 56. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.0912. What is the area under the normal curve to the left of X= 56? (c) What is the area under the normal curve to the right of X= 56? (a) z= (Round to two...
6.33 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 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
6 THE NORMAL PROBABILITY DISTRIBUTION (26) A large number of random variables observed in nature possess a frequency distribution that is approximately mound-shaped and can be modelled by a normal probability distri- bution (1) True (2) False (27) Suppose is a normal random variable with mean and standard deviation a. If is the standardized normal random variable of I, which of the following statements is false? (1) When the value of 2 = 0. (2) When I is less than...
Suppose X is a normal random variable with mean = 100 and standard deviation = 20. What is the Z-value for X= 90? a) 0.5 b) -0.5 c) 5 d) -5
Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(1.00<x< 1.10). P(1.00<x< 1.10) = Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(x >1.35). P(x > 1.35) =
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
Suppose X is a normal random variable with mean muequals58 and standard deviation sigmaequals7. (a) Compute the z-value corresponding to Xequals49. (b) Suppose the area under the standard normal curve to the left of the z-value found in part (a) is 0.0993. What is the area under the normal curve to the left of Xequals49? (c) What is the area under the normal curve to the right of Xequals49? (a) zequals nothing (Round to two decimal places as needed.)
If random variable X has normal distribution with mean u=50 and the standard deviation q=2 , then the value of z-score corresponding to the value X =60 is : - 10 - 5 - 50 - 0