a) If you select a random z-score from the normal distribution, what is the probability that you will get a value greater than -2.5? Put differently, P(z>1.5) = ? (Answer to 3 digits after the decimal.)
b) What critical value of z will give you an answer of exactly 0.01 to the previous question? (Answer to 2 digits after the decimal.)
a) If you select a random z-score from the normal distribution, what is the probability that...
Find the probability that a z-score randomly selected from the normal distribution meets the given condition. The Z-score is between -1.5 and 2.5. In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities More than a decade ago, high levels of lead in the blood put 80% of children at risk. A concerted effort was made to remove lead from the environment. Now,...
probability Q7 (4 marks) a) Creat a standard normal probability distribution plot for z-value for the range of (-3, 3) with increament of 0.5. b) Find the z value (to two decimal places) that cuts off an area in the upper tail section of the standard normal curve with probability of: 0.45 1) 0.0252) 0.053 ) 0.0054) 0.01 A) Answer Z-score probability -3 0.004431848 -2.5 0.0175283 -2 0.053990967 -1.5 0.129517596 -1 0.241970725 -0.5 0.352065327 0 0.39894228 0.5 0.352065327 1 0.241970725...
For a standard normal random variable, what z-score has (a) probability 0.275 to the right? z = ? (3 decimal places) (b) probability 0.900 to the left? z = ? (3 decimal places)
In a normal distribution, the mean corresponds to: Standard Score: z = Percentile: Which of the following statements are TRUE about the normal distribution? Check all that apply. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean. The mean corresponds to the z-score of 1. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. A z-score is the number of standard deviations a...
If the Z- score of normal distribution is 3.5 , the mean of the distribution is 35 and the standard deviation of normal distribution is 3 then the value of X for a normal distribution is ( show how you get the answer ) A. 97.5 B. 45.5 C. 52.5 D. 67.5
* Select all the True statements about the normal probability distribution.* a) The random variable takes any value. b) The distribution has one mode and has positive skew c)The mean, median, and mode are equal. d) Standardizing an observation of any normal distribution allows the use of the standard normal (Z) distribution tables. e) The distribution has one mode and is bell shape. f) The area under the bell curve is 1 exactly. g) The random variable does not take...
If you select one case at random from a normal distribution of scores, how likely or probable would it be to select a case that has a z score of 3.4? or greater a. very unusual and improbable, but not impossible b. Impossible c. Very likely and very probably d. It would happen about 50% of the time
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Assume a random variable Z has a standard normal distribution (mean 0 and standard deviation 1). Use all decimal places from the Normal Table. Your final answers to 4 decimal places. a) The probability that Z lies between 1.55 and 1.86 is Select b) What is the value of Z if only 1.5% of all possible Z values are larger? Select]
For a standard normal random variable, what z-score has (a) probability 0.175 to the right? (3 decimal places) (b) probability 0.950 to the left? (3 decimal places)
*Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.40) = Shade the corresponding area under the standard normal curve. *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 ≤ z ≤ −0.49) = Shade the corresponding area under the standard normal curve.