survey, 62% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) Find the probability that exactly 41of the murders were cleared. (b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 20 of the murders were cleared? Why o

survey, 62% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) Find the probability that exactly 41of the murders were cleared. (b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 20 of the murders were cleared? Why o

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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4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
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Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
American Airlines' flights from Denver to Atlanta are on time 90% of the time. Suppose thirteen flights are randomly selected, and the number on-time flights is recorded. 1. The probability that at least three flights are on time is? 2. The probability that at most twelve flights are on time is? 3. The probability that exactly two flights are on time is?
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
To avoid detection at customs, a traveler places 7 narcotic tablets in a bottle that contains 14 apparently similar vitamin pills. If the customs officer selects 7 of the tablets at random from the bottle for analysis. What is the probability that the traveler will be arrested for illegal possession of narcotics? Answer: Answer What is the probability that the traveler will not be arrested for illegal possession of narcotics? Answer: Answer What is the average number of narcotic pills the customs officer can find? (if not an integer, round up to the next integer) Answer: Answer Note: Answer with at least 4 decimal places
According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…
16. Ten percent of the students at a certain college are non-resident. A reporter for the student paper would like to interview at least 5 non-residents. If the reporter randomly selects 100 names from the student directory and begins contacting them, what is the probability that she will contact at least 5 non-resident students?