Kelly sank down into a seat at the back of the subway car, glad for the chance to rest a bit after a hectic day. Derrick, her 2-year-old son, squirmed on her lap as the ride began. He soon settled down, however, apparently fascinated with their surroundings, and before long she was dozing. Mistake! Suddenly the child leaped from her lap and charged down the aisle, giggling at the trick he’d played on his mom. By the time Kelly was fully awake and had started running after him, he was 6 yards ahead of her. Relative to the track outside, Derrick was moving at 33 mph, and Kelly was moving at 35 mph (the train’s speed was 30 mph). How long did it take her to catch Derrick? How far from her seat were they when she caught him?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Kelly sank down into a seat at the back of the subway car, glad for the chance to rest a bit after a hectic day. Derrick, her 2-year-old son, squirmed on her lap as the ride began. He soon settled down, however, apparently fascinated with their surroundings, and before long she was dozing. Mistake! Suddenly the child leaped from her lap and charged down the aisle, giggling at the trick he’d played on his mom. By the time Kelly was fully awake and had started running after him, he was 6 yards ahead of her. Relative to the track outside, Derrick was moving at 33 mph, and Kelly was moving at 35 mph (the train’s speed was 30 mph). How long did it take her to catch Derrick? How far from her seat were they when she caught him?
Step by step
Solved in 6 steps with 5 images
