Answered: The Brac University Basketball Team is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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solve a and b quickly please.

The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 167 cm and a standard deviation of 5 cm. To have a shot at joining the team, one must have a height between 160 cm and 169 cm; otherwise the team may end up imbalanced and incompatible.

a. What is the probability that a randomly selected try-out participant will not satisfy the height requirements?

b. A point guard on the team should be among the top 5.99% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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