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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?
A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8
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?
3. Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, 25% of homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let Y be the number among the four that have earthquake insurance. (a) Find the probability distribution of Y. (b) Draw the corresponding probability histogram. (c) What is the most likely value for Y? (d) What is the probability that at least two of the four selected have earthquake insurance?
Suppose annual expenditures on the UCI branded clothing and accessories per student are uniformly distributed between $60 and $70. A What is the probability that a student will spend more than $67? B. What is the probability that a student will spend less than or equal to $62? C. What is the probability that a student will spend between $64 and $68? D. What is the probability that a student will spend between $68 and $75? E Determine the expected spending on UCI branded clothing and accessories per student. F. Determine the standard deviation of the expenditures on UCI branded clothing and accessories per student.
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Certain class is attended by 15 females and 16 males. Suppose two students must be selected randomly. Let X denote number of selected females and give a complete probability distribution
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.
The following table gives data on the marital status of women aged 25 to 29. These proportions tell us the probability of the marital status of a randomly selected woman. Marital Status Never Married Married Widowed Divorced Proportion ??? 0.494 0.005 0.046 1) What percentage of women aged 25 to 29 have never been married? 2) What is the probability that a randomly chosen woman is not currently married?

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