Suppose you have four cars, A, B, C, D, respectively. On a given day, the probability that your car will not work properly is P(A)=.04, P(B)=.01, P(C)= .06, P(D)=.01. If whether or not the car functions is independent of one another, what is the probability that on that given day at least one car is working properly? Show all work.
Suppose you have four cars, A, B, C, D, respectively. On a given day, the probability...
There are four washing machines in an apartment complex: A, B, C, D. On any given day the probability that these machines break down is as follows: P(A) = 0.04, P(B) = 0.01, P(C) = 0.06, P(D) = 0.01 . Assume that the functionality of each machine is independent of that of others. What is the probability that on a given day at least one machine will be working?
A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.98, P(C) = 0.97, and P(D) = 0.9. Find the probability that at least one of the four...
Copykwik has four photocopy machines: A, B, C, and D. The probability that a given machine will break down on a particular day is given below. P(A) = 1 55 P(B) = 1 58 P(C) = 1 80 P(D) = 1 40 Assuming independence, what is the probability on a particular day that the following will occur? (a) All four machines will break down (Round your answer to ten decimal places.) (b) None of the machines will break down (Round...
You and your friend decide to get your cars inspected. You are informed that 85% of cars pass inspection. If the event of your car's passing is independent of your friend's car, a) What is the probability that your car passes inspection? b) What is the probability that your car doesn't pass inspection? c) What is the probability that both of the cars pass? d) What is the probability that at least one of the two cars passes?
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. y p(x, y) 0 1 2 x 0 0.025 0.010 0.015 1 0.050 0.020 0.030 2 0.125 0.050 0.075 3 0.150 0.060 0.090 4 0.100 0.040 0.060 5 0.050 0.020 0.030 (a) What is the probability that there is exactly one car and exactly one bus during...
The probability of A, B, C, and D all equal .98. Please show calculations. 2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...
Suppose warranty records show the probability that a new car needs a warranty repair in the first 90 days is .05. If a sample of twenty (20) cars is selected, what is the probability that: a) none of the cars will need a warranty repair? b) at least one needs a warranty repair? c) more than three need a warranty repair? d) no more than five need a warranty repair?
8)Given A, B, Care independent events P (A) =.3, P (B) =.2 andP(C)=4. Find the probability for (a) all occuring (b) none occuring ()at least one occuring (d) exactly one occuring
1 The velocity equations va(t), vb(t), vc(t), and vp(t) in (km/hr) of four cars A, B, C, and D, respectively are moving along a straight line and given by, A(t) = arctan(9t) UB(t) = ln(9t) vo(t) = e-64 ud(t) = V9+ t2 Which of these cars travelled further during the time interval (9, 15) (A) Car A (B) Car B (C) Car C (D) Car D
Answer parts c,d, and e 2. Suppose two doctors, A and B, test all patients coming into a clinic for syphilis. Let events A = Doctor A makes a positive diagnosis and B+ = Doctor B makes a positive diagnosis. Suppose doctor A diagnoses 10% of all patients as positive, doctor B diagnoses 17% of all patients as positive, and both doctors diagnose 8% of all patients as positive. a. Are the events A*, B* independent of each other? Show...