Let C be the event that a computer crashed and O the event that a computer...
-
Let C be the event that a computer crashed and O the event that a computer overheated. Suppose we have the following probabilities:
P(C)=0.4 P(C∩O)=0.25 P(C′ ∩O)=0.05P(O)=0.3 P(C∩O′)=0.15 P(C′ ∩O′)=0.55
Answer the questions below. Round your answers below to 2 decimals.
-
(a) Find the probability that the computer crashed, given that the computer overheated.
-
(b) Find the probability that the computer crashed, given that the computer did not overheat.
-
(c) Find the probability that the computer did not overheat, given that the computer did not crash.
-
(d) Are the events of a computer crashing and a computer overheating independent events? Explain.
-
Homework Answers
Add Answer to:
Let C be the event that a computer crashed and O the event that
a computer...
1. Let C be the event that a computer crashed and O the event that a...
1. Let C be the event that a computer crashed and O the event that a computer overheated. Suppose we have the following probabilities P(C) 0.4 P(O)-0.3 P(C n O) = 0.25 P(c n O') P(C'no) 0.05 P(C" n O') 0.15 0.55 Answer the questions below, Round your answers below to 2 decimals. (a) Find the probability that the computer crashed, given that the computer overheated D) Feit eke probahillht th overheat (c) Find the probability that the computer did...
1&2 · Let e be the event that a computer crashed and O the event that...
1&2
· Let e be the event that a computer crashed and O the event that a computer overheated Suppose we have the following probabilities: P(C) 0.4 P(Cno) 0.25 P(O) 0.3 P(C no) 0.05 )-0.15 P(C no) 0.55 Answer the questions below. Round your answers below to 2 decimals. (a) Find the probability that the computer crashed, given that the computer overheated. (b) Find the probability that the computer crashed, given that the computer did not (c) Find the probability...
The following table presents the probabilities for the number of times that a certain computer system...
The following table presents the probabilities for the number of times that a certain computer system will crash in the course of a week. Let A be the event that there are more than two crashes during the week, let B be the event that the system crashes at least once. Number of Crashes Probability 0.60 0.30 0.05 0.04 0.01 4 Find the sample space. Then find the subsets of the sample space that correspond to the events A and...
For customers purchasing a refrigerator at a certain appliance store, let A be the event that...
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator has an icebreaker, and the event that the customer purchased an extended warranty. Relevant probabilities are: P(A)= 0.75 P(B|A) = 0.9 P(B|A′) = 0.8 P(C|A ∩ B) = 0.8 P(C|A ∩ B′) = 0.6 P(C|A′ ∩ B) = 0.7 P(C|A′ ∩ B′) = 0.3 What is the probability that the...
1) Let A be the event that a student is enrolled in an accounting course, and...
1) Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting. Find the probability that a student is in accounting and is also in...
You are given the following information about events A, B, and C The probability of event...
You are given the following information about events A, B, and C The probability of event A occurring is 0.49 The probability of only event A occurring is 0.15. Events B and C are mutually exclusive The probability of C occurring is 1.5 times the probability of B occurring. The probability of none of the events occurring is 0.13. The probability C occurring and A not occurring 0.18 Find the probability of event B NOT occurring. 0.648 0.733 O 0.712...
Let S be the event that randomly selected college student has taken a statistics course
Let S be the event that randomly selected college student has taken a statistics course and let C be the event that the same student has taken calculus 1 course. Suppose P(S) = 0.4, P(C) = 0.3 and P(S and C) = 0.2. Find the probability that a student has taken at neither statistics nor calculus.Let S be the event that randomly selected college student has taken a statistics course and let C be the event that the same student has...
Given events A and B, (a) let C be the event that A will occur and...
Given events A and B, (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A will not occur. Express D in terms of A and B. (b) let E be the event that exactly one of the events A or B will occur. Express E in terms of A and B. (c) Use the result in...
For a person selected randomly from a certain population, M is the event that the person...
For a person selected randomly from a certain population, M is the event that the person is MALE and s is the event that the person is a SMOKER. Let P(M) = 0.45, P(S) = 0.25 and P(MS) - 0.15. Hint: Use a Venn Diagram 6. What is the probability that a randomly selected person is a Male or a Smoker, that is, P(A? A. 07 None of the above В. О. 1125 C. 0.55 D. 0.85 E. 7. P(S)-0.55....
2. Given events A and B (a) let C be the event that A will occur...
2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...
1. Let C be the event that a computer crashed and O the event that a computer overheated. Suppose we have the following probabilities P(C) 0.4 P(O)-0.3 P(C n O) = 0.25 P(c n O') P(C'no) 0.05 P(C" n O') 0.15 0.55 Answer the questions below, Round your answers below to 2 decimals. (a) Find the probability that the computer crashed, given that the computer overheated D) Feit eke probahillht th overheat (c) Find the probability that the computer did...
1&2
· Let e be the event that a computer crashed and O the event that a computer overheated Suppose we have the following probabilities: P(C) 0.4 P(Cno) 0.25 P(O) 0.3 P(C no) 0.05 )-0.15 P(C no) 0.55 Answer the questions below. Round your answers below to 2 decimals. (a) Find the probability that the computer crashed, given that the computer overheated. (b) Find the probability that the computer crashed, given that the computer did not (c) Find the probability...
The following table presents the probabilities for the number of times that a certain computer system will crash in the course of a week. Let A be the event that there are more than two crashes during the week, let B be the event that the system crashes at least once. Number of Crashes Probability 0.60 0.30 0.05 0.04 0.01 4 Find the sample space. Then find the subsets of the sample space that correspond to the events A and...
You are given the following information about events A, B, and C The probability of event A occurring is 0.49 The probability of only event A occurring is 0.15. Events B and C are mutually exclusive The probability of C occurring is 1.5 times the probability of B occurring. The probability of none of the events occurring is 0.13. The probability C occurring and A not occurring 0.18 Find the probability of event B NOT occurring. 0.648 0.733 O 0.712...
For a person selected randomly from a certain population, M is the event that the person is MALE and s is the event that the person is a SMOKER. Let P(M) = 0.45, P(S) = 0.25 and P(MS) - 0.15. Hint: Use a Venn Diagram 6. What is the probability that a randomly selected person is a Male or a Smoker, that is, P(A? A. 07 None of the above В. О. 1125 C. 0.55 D. 0.85 E. 7. P(S)-0.55....
2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...
Most questions answered within 3 hours.
-
1,1-dimethylcyclorohexane reacts with single bromine atom
asked 5 minutes ago -
The completed Lewis structure of CO2 contains a total
of 0,1,2,3,4,5,6,7,8 covalent bonds
and 0,1,2,3,4,5,6,7,8 lone pairs.
NOTE:...
asked 12 minutes ago -
A 0.0510 M solution of an organic acid has an
[H+] of 7.50×10-4M .
What is...
asked 9 minutes ago -
what is the profit-maximizing output condition that a
monopolistically competitive firm must satisfy? a) price charged...
asked 13 minutes ago -
Consider the set of ordered pairs shown below. Assuming that the
regression equation is y=3.513+0.429x and...
asked 35 minutes ago -
1. (A) Write two
structural (constitutional)
isomers of C4H8F2?
Please show all of
the
asked 37 minutes ago -
Objective: Practice converting a Boolean logic
expression into it’s truth table and to show the implementation...
asked 34 minutes ago -
1) Name the three holes located in the greater wing of the
sphenoid bone in order...
asked 37 minutes ago -
For the following reaction set-up, which type of hydrocarbon
product would form? 1,4-hexadiene + two Cl2...
asked 40 minutes ago -
Consider the following method that is intended to determine if
the double values d1 and d2...
asked 52 minutes ago -
could someone please post clear drawings of the three structures
in the equilibrium mixture of D-glucose...
asked 59 minutes ago -
Using the Properties of Order show that 5n5 +
4n4 + 6n3 + 2n2+ n +...
asked 1 hour ago