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Find the number of distinguishable arrangements of the letters of each word. a) ANNA I. b) MISSISSIPPI

Find the number of distinguishable arrangements of the letters of each word. a) ANNA I. b) MISSISSIPPI

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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MAT 125 The life insurance policies of an insurance company are classified by: • Age of the insured 1. Under 25 years, Between 25 years and 50 years, Over 50 years old; • Sex • Marital status Single or Married What is the total number of classifications? Find the number of distinguishable arrangements of the letters of each word. a) ANNA I. b) MISSISSIPPI II. For the experiment of rolling a single fair die, find the probability of each event. a) not less than 2 b) not prime c) odd or less than 5 f) less than 3 or greater than 4 d) even or prime e)odd or even IV. Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. 1 P(x) 0.21 0.64 0.15 a) Compute the expected value ( or Mean) of the distribution. b) Compute the standard deviation of the distribution. (Round your answer to four decimal places.) V. To raise money for a charity, a local organization plans a carnival game. Each player will pay $2 to roll a die. If a 6 is rolled, the player wins $5; if any other number is rolled , the player wins nothing. What is a player's expected earning from this game. VI. Consider a binomial experiment with n = 6 trials where the probability of success on a single trial is p = 0.35. (Round your answers to three decimal places.) ra) Find P(r = 0). b) (b) Find P(r > 1) by using the complement rule. "II. Given the binomial experiment with n = 100 trials and probability of success on a Engle trial p = 0.07, a) find the value of 1 b) Use the Poisson distribution to estimate the probability of r = 7 successes. (Round your answer to four decimal places.)
Transcribed Image Text:MAT 125 The life insurance policies of an insurance company are classified by: • Age of the insured 1. Under 25 years, Between 25 years and 50 years, Over 50 years old; • Sex • Marital status Single or Married What is the total number of classifications? Find the number of distinguishable arrangements of the letters of each word. a) ANNA I. b) MISSISSIPPI II. For the experiment of rolling a single fair die, find the probability of each event. a) not less than 2 b) not prime c) odd or less than 5 f) less than 3 or greater than 4 d) even or prime e)odd or even IV. Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. 1 P(x) 0.21 0.64 0.15 a) Compute the expected value ( or Mean) of the distribution. b) Compute the standard deviation of the distribution. (Round your answer to four decimal places.) V. To raise money for a charity, a local organization plans a carnival game. Each player will pay $2 to roll a die. If a 6 is rolled, the player wins $5; if any other number is rolled , the player wins nothing. What is a player's expected earning from this game. VI. Consider a binomial experiment with n = 6 trials where the probability of success on a single trial is p = 0.35. (Round your answers to three decimal places.) ra) Find P(r = 0). b) (b) Find P(r > 1) by using the complement rule. "II. Given the binomial experiment with n = 100 trials and probability of success on a Engle trial p = 0.07, a) find the value of 1 b) Use the Poisson distribution to estimate the probability of r = 7 successes. (Round your answer to four decimal places.)
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