Let x be a continuous random variable that is normally distributed with a mean of 25...
6. A construction zone on a highway has a posted speed limit of 40 Kilometers per hour. The speeds of the vehicles passing through this construction zone are normally distributed with a mean of 46 kilometers per hour and a standard deviation of 4 kilometers per hour. Find the percentage of vehicles passing through this construction zone that are: a) exceeding the posted speed limit b) traveling at speeds between 50 and 57 kilometers per hour. 7. A machine at...
1) Let x be a continuous random variable that is normally distributed with a mean of 21 and a standard deviation of 7. Find to 4 decimal places the probability that x assumes a value a. between 24 and 30. Probability = b. between 17 and 31. Probability = ------------------------------------------------------------------------------------------------------------------------------------------------------ 2) 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...
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 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=???
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.
Let x be a normally distributed continuous random variable with a mean of 213 and a standard deviation of 17. Determine the value of x such that the area to the left of x is 0.492. Round the solution to two decimal places, if necessary.
Suppose a random variable is normally distributed with a mean of 400 and a standard deviation of 100. a)Draw a normal curve with the parameters labeled. b)Shade the region under the normal curve that represents the probability of observing a value of the random variable that is less than 600. c)Suppose the area under the normal curve below 600 is 0.9772. Provide two interpretations of this area.
The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2 inches. Let x denote length for western rattlesnakes. 3. a. Use MATHCAD to draw the distribution of the variable x, then use cut-and-paste to transfer the output of MATHCAD into this document Determine and show the formula for the standardized version, z, of the variable x. Identify and draw the distribution of z. The percentage of western rattlesnakes that...
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.
Assume the random variable X is normally distributed with mean equal to 50 and standard deviation of 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35<x<58) Assume the random variable X is normally distributed with mean u = 50 and standard deviation o= 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35<X<58) Click the icon to view a...