Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A 1 ) 0 35, P(A 2 ) 0 45, and P(A 3 ) 0 2 If E is an event that is a subset of S and P(E A 1 ) 0 25, P(E A 2 ) 0 18, and P(E A 3 ) 0 14, find P(E) ...

Given that events A1 A2 and A3 form a partition of ...

Suppose that events A 1 , A 2 , and A 3 form a partition of the

Question:

Suppose that events A₁, A₂, and A₃ form a partition of the sample space S with P(A₁) = 0.35, P(A₂) = 0.45, and P(A₃) = 0.2. If E is an event that is a subset of S and P(E|A₁) = 0.25, P(E|A₂) = 0.18, and P(E|A₃) = 0.14, find P(E).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics Informed Decisions Using Data

ISBN: 9781292157115

5th Global Edition

Authors: Michael Sullivan

See More Books

Question Posted: Mar 28, 2024 01:02 AM

See More Questions

Use the information given in Problem 23 to find: (a) P(A 1 |E) (b) P(A 2 |E) (c) P(A 3 |E) Data from Problem 23 Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A...
Suppose that events A 1 and A 2 form a partition of the sample space S with P(A 1 ) = 0.35 and P(A 2 ) = 0.65. If E is an event that is a subset of S and P(E|A 1 ) = 0.12 and P(E|A 2 ) = 0.09, find...
Suppose that events A 1 and A 2 form a partition of the sample space S with P(A 1 ) = 0.55 and P(A 2 ) = 0.45. If E is an event that is a subset of S and P(E|A 1 ) = 0.06 and P(E|A 2 ) = 0.08, find...
Gray Corporation began operations on January 1, 2017. The following information is available for Gray Corporation on December 31, 2017. Prepare an income statement, a retained earnings statement, and...
In 2011 the Nwankwos filed an application with the Design Committee of their residential subdivision to build an outdoor living space on their property. The Nwankwos wished for the outdoor living...
The technical rate of substitution between factors x 2 and x 1 is 4. If you desire to produce the same amount of output but cut your use of x 1 by 3 units, how many more units of x 2 will you need?
A blower handles $2 \mathrm{~kg} / \mathrm{sec}$. of air at $30^{\circ} \mathrm{C}$ and consumes $40 \mathrm{~kW}$ power. The inlet and outlet velocities of air are \(100 \mathrm{~m} /...
A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the same volumetric how...
You are the senior shift manager for an exciting club/restaurant at South Padre Island called, The Hypnotic Wave. You completed a test run of the business with the owner last quarter (February). The...
Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A 1 ) = 0.3, P(A 2 ) = 0.65, and P(A 3 ) = 0.05. If E is an event that is a subset of S and P(E|A 1 ) =...
P(C|E c ) Find the indicated probabilities by referring to the given tree diagram and by using Bayess Rule. A P(A) = 0.2 P(E|A)=0.6 E P(ECA) = 0.4 -EC P(B) = 0.55 P(E|B)=0.7 -E B EC P(E|B) = 0.3 P(C)...
Determine the molar solubility of lead(II) azide, Pb(N 3 ) 2 , in a buffer solution with pH = 3.00, given that Pb(N3)2(s) Pb+ (aq) + 2N3 (aq) = Ksp 2.5 x 10 HN3(aq) + HO(1) H3O*(aq) + N (aq) = Ka...
Riders on the Tower of Doom, an amusement park ride, experience $2.0 \mathrm{~s}$ of free fall, after which they are slowed to a stop in $0.50 \mathrm{~s}$. What is a $65 \mathrm{~kg}$ rider's...
An 80-ft-diameter Ferris wheel rotates once every $24 \mathrm{~s}$. What is the apparent weight of a $70 \mathrm{~kg}$ passenger at (a) the lowest point of the circle and (b) at the highest point?
A fisherman has caught a very large, $5.0 \mathrm{~kg}$ fish from a dock that is $2.0 \mathrm{~m}$ above the water. He is using lightweight fishing line that will break under a tension of \(54...
Two blocks on a frictionless table, A and B, are connected by a massless string. When block $A$ is pulled with a certain force, dragging block B, the tension in the string is $24 \mathrm{~N}$....
A wind turbine has $12,000 \mathrm{~kg}$ blades that are $38 \mathrm{~m}$ long. The blades spin at $22 \mathrm{rpm}$. If we model a blade as a point mass at the midpoint of the blade, what is...
Find the proper length of a rod if in the laboratory frame of reference its velocity is v = c/2, the length l = 1.00 m, and the angle between the rod and its direction of motion is = 45.
If the annual fixed costs are 54,000 dinars, the occupation expense represents 20%, the contribution margin is 25%, and the unit selling price is 40 dinars. Required: Calculate the closing point of...
What is an investment? Briefly answer and include some key characteristics that would distinguish an investment from any other ordinary (such as a car or furniture), or a bet at a casino.
Answer questions A-C given the following information: Beg. merchandise inventory Beg. finished goods inventory Cost of purchases Cost of goods manufactured Ending merchandise inventory Ending...
Stevenhas cash in a savings account totaling $14250, and his monthly expenses are $2850. What is his emergency fund ratio? a. 3 b. 0.29 c. 8 d. 5

Suppose that events A 1 , A 2 , and A 3 form a partition of the

Question:

Step by Step Answer:

Given that events A1 A2 and A3 form a partition of ...View the full answer

Statistics Informed Decisions Using Data

Students also viewed these Business questions