Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it. Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. Let X be the number of free throws Larry makes out of 70 and let P^P^ be the proportion of the 70 attempts Larry makes. Using the normal curve, approximate the probability that Larry makes over half of the 70 free throws. In other words we seek either P( X > 35 ) or equivalently P( P^P^ > 0.5 ). Round
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it.
Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. Let X be the number of free throws Larry makes out of 70 and let P^P^ be the proportion of the 70 attempts Larry makes.
Using the normal curve, approximate the probability that Larry makes over half of the 70 free throws. In other words we seek either P( X > 35 ) or equivalently P( P^P^ > 0.5 ).
Round to 4 decimal places.
Note: The answer can easily be obtained using the
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
