On any occasion when a particular gymnast performs a certain routine, the probability that she will perform it correctly is 0.65, independently of all other occasions. (i) Find the probability that she will perform the routine correctly on exactly 5 occasions out of 7. (ii) On one day she performs the routine 50 times. Use a suitable approximation to estimate the probability that she will perform the routine correctly on fewer than 29 occasions. (iii) On another day she performs the routine n times. Find the smallest value of n for which the expected number of correct performances is at least 8.

On any occasion when a particular gymnast performs a certain routine, the probability that she will perform it correctly is 0.65, independently of all other occasions. (i) Find the probability that she will perform the routine correctly on exactly 5 occasions out of 7. (ii) On one day she performs the routine 50 times. Use a suitable approximation to estimate the probability that she will perform the routine correctly on fewer than 29 occasions. (iii) On another day she performs the routine n times. Find the smallest value of n for which the expected number of correct performances is at least 8.

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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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