Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the followinga. Find the probability that the number of successes is greater than 1,650.b. Find the probability that the number of successes is fewer than 1,530.c. Find the probability that the number of successes is between 1,550 and 1,650.d. With probability 0.09, the number of successes is fewer than how many?e. With probability 0.20, the number of successes is greater than how many?

Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the followinga. Find the probability that the number of successes is greater than 1,650.b. Find the probability that the number of successes is fewer than 1,530.c. Find the probability that the number of successes is between 1,550 and 1,650.d. With probability 0.09, the number of successes is fewer than how many?e. With probability 0.20, the number of successes is greater than how many?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Given a random sample size of n = 1, 600 from a binomial probability distribution with P = 0.40, do the following
a. Find the probability that the number of successes is greater than 1,650.
b. Find the probability that the number of successes is fewer than 1,530.
c. Find the probability that the number of successes is between 1,550 and 1,650.
d. With probability 0.09, the number of successes is fewer than how many?
e. With probability 0.20, the number of successes is greater than how many?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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