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task 3. 4 and 5

task 3. 4 and 5

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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task 3. 4 and 5
inomogeneMei SjeaT quo) bably Task 3: An owner of a firm has collected information on the number of goods sold in the last 100 days. The following table gives a summary of the daily sales and the probabilities of selling a particular number of goods sold per ert wo day: ga sitt ni anaituloz balistab svið 9 10 11 Number of goods sold per day 8 Number of days Probability 6 14 20 22 0.06 0.14 0.20 0.22 The day is considered to be profitable if at least 10 goods are sold. 1. What is the probability that a randomly selected day will not be profitable? 12 18 0.18 2. What is the probability that a randomly selected day will be profitable? 13 20 0.20 8 telluO bns A felluO nol sunsven 20lsa ylish speiovs erit atsluals Assume that the probability of having a profitable day is constant. Also assume that the number of goods sold is independent of the day of the week. Total 100 1.00 3. Assuming the binomial probability distribution, calculate the probability that out of 6 randomly selected days, exactly 5 days will be profitable. 4. What is the probability that out of 6 randomly selected days, 4 or more days will not be profitable? een ed no bažnd alaituo ritod tot aelsa ni noilchsy to Insibilisoo aril afsluole 5. What is the probability that out of 6 randomly selected days, none will be profitable? Task 4: A random variable X is uniformly distributed bewteen 2 and 12. What is the likelihood that the variable X will lie between 4 and 6?
Transcribed Image Text:inomogeneMei SjeaT quo) bably Task 3: An owner of a firm has collected information on the number of goods sold in the last 100 days. The following table gives a summary of the daily sales and the probabilities of selling a particular number of goods sold per ert wo day: ga sitt ni anaituloz balistab svið 9 10 11 Number of goods sold per day 8 Number of days Probability 6 14 20 22 0.06 0.14 0.20 0.22 The day is considered to be profitable if at least 10 goods are sold. 1. What is the probability that a randomly selected day will not be profitable? 12 18 0.18 2. What is the probability that a randomly selected day will be profitable? 13 20 0.20 8 telluO bns A felluO nol sunsven 20lsa ylish speiovs erit atsluals Assume that the probability of having a profitable day is constant. Also assume that the number of goods sold is independent of the day of the week. Total 100 1.00 3. Assuming the binomial probability distribution, calculate the probability that out of 6 randomly selected days, exactly 5 days will be profitable. 4. What is the probability that out of 6 randomly selected days, 4 or more days will not be profitable? een ed no bažnd alaituo ritod tot aelsa ni noilchsy to Insibilisoo aril afsluole 5. What is the probability that out of 6 randomly selected days, none will be profitable? Task 4: A random variable X is uniformly distributed bewteen 2 and 12. What is the likelihood that the variable X will lie between 4 and 6?
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