Facts & Formulas
8.1: Continuous Prob. Distrib.
8.1b: The Continuous Exp. Distrib.
8.2: The Normal Distribution
100
Binomial, Geometric, HyperGeometric - These terms are known as?
What are Discrete Cases
100
What are the 3 Distribution types?
Symmetric, Positively Skewed, Negatively Skewed
100
How do you find the area of the non shaded part under a curve?
What is 1 - (1-e^-kx)
100
This normal distribution serves as a model for so many diverse situations in nature.
What is the bell curve
200
Uniform, Normal, Exponential Distributions - These terms are known as?
What are Continuous Cases
200
The commuting time from Brampton to Oakville varies uniformly from 30 to 55 min. Determine the probability that the trip takes more than 48 min.
Answer: 28%
200
At the Koodo call centre, the average time between phone calls to its tech support line is 2 min and it is exponentially distributed. Determine the CDF for this question.
What is P(X
200
The successful shots on net in an house league soccer game is normally distributed with a mean of 56.3%, and a standard deviation of 8.1% In what percentage of the games will the success rate be between 50% and 60%
Ans. 45.3%
300
This formula is used for finding what? 1-e^-kx
What is the area under a curve
300
The drive time between Toronto and Ottawa is between 240 and 300 minutes. Find the probability that the drive will take more than 256 minutes.
Answer: 20%
300
At the Koodo call centre, the average time between phone calls to its tech support line is 2 min and it is exponentially distributed. Determine the probability of a sales rep waiting 2 min or less before a call.
Answer: 63.2%
300
Testing has shown that a Samsung smart tv has a mean life time of 7.5years, and a standard deviation of 1.08 years. If Samsung offers a 5 year warranty on parts and labour, what is the probability that the smart tv experiences issues before the warranty ends?
Ans. 1.04%
400
What is this formula called? z = (x – μ) / σ
What is the Z-Score Formula
400
The lifetime of a species of housefly ranges uniformly from 18 h to 30 h. Determine the probability that a fly will live at least 28 h.
Answer: 83%
400
At the Koodo call centre, the average time between phone calls to its tech support line is 2 min and it is exponentially distributed. What is the probability of that technician waiting between 2 to 3 mins before a call?
Answer - 14.5%
400
The successful shots on net in an house league soccer game is normally distributed with a mean of 56.3%, and a standard deviation of 8.1% In what percentage of the games will the successful shots on net be 40%
Ans. 2.2%