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A First Course in Probability (10th Edition)

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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2. Suppose that 25% of all students at a large public university receive financial
Let X be the number of students in a random sample of size 50 who receive
financial aid. By using an appropriate distribution approximate the probability
at most 10 students receive aid?

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If a seed is planted, it has a 55% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 55 seeds are planted. a. What is the distribution of X?X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 30 seeds grow into healthy plants? c. What is the probability that at most 30 seeds grow into healthy plants? d. What is the probability that more than 30 seeds grow into healthy plants? e. What is the probability that between 25 and 32 (including 25 and 32) seeds grow into healthy plants?
Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per ten-gram portion. What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 2.3 P(x≥2.3)= (Round to four decimal places as needed.)
2. Give the probability generating function for an offspring distribution in which an individual either dies, with probability 1- p, or gives birth to three children, with probability p, Also find the mean and variance of the number of children in the fourth generation.
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