The sample space for an experiment contains five sample points. The probabilities of the sample points are: P(1) = P(2) = 0.15 P(3) = P(4) = 0.2 P(5) = 0.3 Find the probability of each of the following events: A : { Either 2 or 3 occurs } B : { Either 2, 1, or 5 occurs } C : { 4 does not occur } P(A) =______ P(B) =______ P(C) =______

The sample space for an experiment contains five sample points. The probabilities of the sample points are: P(1) = P(2) = 0.15 P(3) = P(4) = 0.2 P(5) = 0.3 Find the probability of each of the following events: A : { Either 2 or 3 occurs } B : { Either 2, 1, or 5 occurs } C : { 4 does not occur } P(A) = P(B) = P(C) =__

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...

See similar textbooks

Similar questions

(a) Let A and B be two events of the same sample space. The probability that the event A occurs equals 0.2 The probability that the event B occurs equals 0.3 The probability that at least one of the events A and B occurs equals 0.4. Find the probabilities: (i) Both the events A and B occur. (ii) The event B occurs, given that the event A has occurred.
2. Select a first-year college student at random and ask what his or her academic rank was in high school. Here are the probabilities, based on proportions from a large sample survey of first-year students: Rank: Top 20% Second 20% Third 20% Fourth 20% Lowest 20% Probability: 0.44 0.26 0.23 0.06 0.01 (a) What is the sum of these probabilities? Why do you expect the sum to have this value? (b) What is the probability that a randomly chosen first-year college student was not in the top 20% of his or her high school class? (c) What is the probability that a first-year student was in the top 40% in high school?
Consider two events following receiving a bachelor’s degree from a prestigious university: A = {being accepted into a graduate program} and B = {receiving a job offer}. We know the following is true: P(A) = P(B) = 0.7 P(A|B) = 0.9 Are events A and B independent? Why or why not?
A and B are both events in sample space S. P(A) = 0.4 P(B) = 0.3 P(AandB) = 0.2 What's the probability of either A or B occuring?
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table: Number tardy: 2 3 4 Probability: 0.17 0.25 0.31 0.21 0.06 What is the expected number of tardies (rounded to two decimal places)?
An officer of the state lottery commission has sampled lottery ticket purchasers over a 1-week period at one location. The amounts distributed back to the purchasers and the associated probabilities for 5000 tickets are as follows: Distribution, $ 0 2 5 10 100 Probability 0.9 0.055 0.025 0.013 0.007 If a ticket costs $5, estimate the chances of receiving more than the cost of the ticket. The chances of receiving more than the cost of the ticket are %?
The sample space for an experiment contains five sample points with probabilities as shown in the table to the right. Find the probability of each of the following events. A: {Either 1, 2, or 5 occurs} B: {Either 1, 3, or 4 occurs} C: (5 does not occur} Sample Points Probabilities O 0.07 0.21 0.25 0.26 0.21 P(A) = (Type an exact answer in simplified form.) 123 45
Given P(A) = 0.56 , P(B) = 0.09 , P(C) = 0.56 and that events A,B, and Care independent, what is P(A,B, and C).
Data was collected and placed into the following table. Brown eyes Blue eyes male 10 13 female 14 15 if someone who participated in the study is randomly selected, find the following probabilities. ( please use fractions and not decimals). A. P(Male B. P( female and brown eyes) C. P(Male or brown eyes) D. P( Female l blue eyes) E. P( Brown eyes l male) show work please!
Let S = {E1, E2, E3, E4} be the sample space of an experiment and let = {E1, E2}, B = {E3}, and C = {E3,E4} be events from S. The probabilities of the sample points are assigned as follows: P(E1) = 0.40, P(E2) = 0.40, P(E3) = 0.10, and P(E4) = 0.10. Find P(A). %3D Select one: O a. 0.60 O b. 0.80 O C. 0.70 O d. 0.30