A student owns two old cars, A and B, and has trouble to starting them on...
A large but sparsely populated county has two small hospitals, one at the south end of the county and the other at the north end. The south hospital's emergency room has four beds, whereas the north hospital's emergency room has only three beds. Let X denote the number of south beds occupied at a particular time on a given day, and let Y denote the number of north beds occupied at the same time on the same day. Suppose that...
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is A.One B.Any positive value C.Zero D. Any value between 0 to 1 Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A∩B) is: a.P(A) = 0.2 b. P(A)/P(B) = 0.2/0.4 = 0.05 c....
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in...
Question 2 1/3 pts Let S be the event that a randomly selected college student has taken a statistics course, and C be the event that the student has taken a chemistry course. Suppose P(S) 0.4, P(C) -0.3 and P(Snc) 0.2 Suppose a student is randomly selected. (a) Find the probability that the student has taken Statistics, Chemistry, or both. I Select ] (b) Find the probability that the student has taken neither statistics nor chemistry. I Select ] (c)...
Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that P(A) = 0.3, P(B) = 0.4, and P(A ∩ B) = 0.05.(a) Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event A ∪B).(b) What is the probability that the selected individual has neither type of card?(c) Describe, in terms of A and B, the event that the selected...
3119A (Read-Cnly] Word The breaking strength of a fabric types A and B has been tested 4 times and found A 4.2,4.5, 3.8, 5.3 psi. B 53, 56, 60, 6.0 (A competing new fabric) Test the claim saying average strength must be the same. Use X values with Cl, use Z/t values and use p values. State the conclusion with p values. Show calculations Answer! Question 4. A random experiment can result in one of the outcomes (a, b, c,...
1.A fair six-sided die is rolled. {1, 2, 3, 4, 5, 6} Let event A = the outcome is greater than 4. Let event B = the outcome is an even number. Find P(A|B). A.0 B.1/3 C.2/3 C.3/3 2.A student stays at home. Let event N = the student watches Netflix. Let event Y = the student watches the very educational youtube videos made by her/his instructor.Suppose P(N) = 0.1, P(Y) = 0.8, and P(N and Y) = 0. Are N and...
Two cars are approaching one another. Car A moves to the right at speed c/4 and car B moves to the left at speed e/6. Where c is the speed of sound. Car B transmits a signal of frequency 1000 Hz. The receiver on car. A will detect a frequency (in H_z) of 1500 1071 900 643 The components of a magnetic field in a region of space is given by: (B_x, B_y, B_z) = (St, D, Ft) where S,...
The time spent to arrive to the university is normally distributed with mean 10 minutes and standard deviation 3. If classes start at 9:00 am, what time should students leave home so they will be late only 9% of the time? 10 minutes before 8 am b. 25 minutes before 8 am c.14 minutes before 8 am d. None Five motors (numbered 1 through 5) are available for use, two motors are defective. Motor 1 and 2 me from supplier...
6th
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robability Theory and Mathematical statistics Final examination Variant 4 Part 1. Random Events he probability that a computer crashes during a severe thunderstorm is 0.005. A certain npany had 550 working computers when the area was hit by a severe thunderstorm. Compute ne probability that exactly 2 computers crashed. 2. It is known about random events A and B that PCB) = 5P (AB). PCA) = 0.7and P(A + B) = 0.6. Find P(B). 3....