If the mean and the standard deviation of a continuous random variable that is normally distributed are 20 and 5, respectively, find an interval that contains 68% of the distribution.
a. 18,24
b. 12,25
c. 10,30
d. 15,25
If the mean and the standard deviation of a continuous random variable that is normally distributed...
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....
Let x be a continuous random variable that is normally distributed with a mean of 36 and a standard deviation of 5. Find the value of the random variable x which is at the 80th percentile. Round to four decimal places.
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 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
Let x be a continuous random variable that is normally distributed with a mean of 36 and a standard deviation of 5. Find the probability the x is less than 38. Round to four decimal places.
A random variable is normally distributed with a mean of 30 and a standard deviation of 5. If an observation is randomly selected from the distribution, a. What value will be exceeded 15% of the time? b. What value will be exceeded 80% of the time? c. Determine two values of which the smaller has 5% of the values below it and the larger has 5% of the values above it. d. What value will 20% of the observations be...
A random variable X is normally distributed with mean 100 and standard deviation 7. What is the 67th percentile of the distribution of X? (PLEASE Use the empirical rule.) (a) 103.08 (b) 121.56 (c) .44 (d) 13.08 (e) 51.00
6) Assume X is a normally distributed random variable with mean μ= 53 and standard deviation σ-12. Find P(52<X< 62). A) 0.5137 B)0.4269 C) 0.3066 D) 0.2108 E) 0.3635
Let X be a normally distributed random variable with expected value and standard deviation 5. being 60 and 20, respectively. Let X, be the sample mean of a random sample of size n from X. A random sample of size 25 from X is given in the following table: 84.75534 37.3332 56.2749 27.09361 63.11717 46.38288 73.65585 50.46811 44.61746 91.7605 78.05359 33.82873 86.2026 51.86157 75.01817 52.57203 19.59978 80.21883 72.44076 42.92938 68.02203 68.10625 61.5187 81.53383 60.46798 (i) Determine a 95% confidence interval...
Let X be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that X assumes a value less than 46. Round your answer to four decimal places. P=???
Assume the random variable X is normally distributed with mean as 41 and the standard deviation as 7. Find the 5th percentile.