) Additive Rule Let S represent the sample space of classrooms on a college campus. Consider the following events: A = classroom remodeled within the last 5 years B = classroom has two doors C = classroom capacity does not exceed 50 students An industrial engineering student surveys the campus and determines the following probabilities: P(A) = 0.2, P(B) = 0.7, P(C) = 0.4 P(An B) = 0.2, P(ANC) = 0.0, P(B nC) = 0.3 a) Find P(An BnC). b) Find P(AUBUC).

Q: Six vehicles are selected from the vehicles that are issued campus parking permits, and the…

A: a).Here, 6 vehicles are selected to collect the data. The experimental unit is the vehicle.

Q: Why is it important for the researcher to use probability sampling methods?

A: For a sampling method to be considered probability sampling, it must utilize some form of random…

Q: Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the…

A:

Q: bê évents in a sample space with P(A) = r, P(B) = y, and P(ANB) = z. Express each of the following…

A: Given Let A and B be events in a sample space P(A) = x, P(B) = y, P(A∩B) = z.  x= 0.17,y = 0.13 ,…

Q: Consider a discrete population with only the numbers (3,4,5) with probabilities (0.2, 0.3, 0.5).…

A: Given Data: (3, 4, 5) P=(0.2, 0.3, 0.5)   n=2

Q: An experiment consists of two trials. The outcomes of independent the first trial are A, B, and C,…

A: Given information: An experiment consists of two independent trials. The outcomes of the first trial…

Q: MSELFtest 23. Suppose that you are given a decision situation with three possible states of nature:…

A: 23)  Answer:- Given, The prior probabilities are P(s1) = 0.2 , P(s2) = 0.5 , and P(3) = 0.3 . With…

Q: A sample space consists of five simple events with P(E₁) = P(E₂) = 0.2, P(E) = 0.45, and P(EA) =…

A:

Q: Step 3 Thus, we have found P(E5) = 0.1. Now use this value to calculate P(E4) using the second…

A: P(E5)=0.1

Q: Twenty people are waiting on line in a bank. These people will either deposit or withdraw money Let…

A:

Q: (Class Project) The number of cars waiting in line at a car wash is distributed as follows: Number…

A: Given information: Number of cars Probability 0 0.25 1 0.40 2 0.20 3 0.10 4 0.04 5…

Q: What is the correct H0?

A:

Q: 12. Suppose that it is known that P(A/B) = 0.21, P(A) = 0.69, and P(AUB) = 0.13. (a) Find P(An B).…

A: ∪ ∩ P(A|B) = 0.21 P(A')=0.69 P(A) = 1- P(A') = 0.31

Q: Let A and B be any two events defined on sample space omega.  Suppose that P(A) =.4, P(B) = .5, and…

A: The given probabilities are:P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.1.

Q: Compound Random experiment: Flip a penny, draw a marble from a bag containg 3 red, 5 orange, and 2…

A: From given data : 3 red marble  5 orange marble 2 green marble  total 10 marble

Q: The sample space for an experiment contains 4 outcomes (1,2,3,4) with probabilities shown below:…

A: Given:  The sample space for an experiment contains 4 outcomes (1,2,3,4) with probabilities shown…

Q: Draw a probability tree diagram for the following experiment: a fair coin is tossed; if a head…

A: A fair coin is tossed initially where P(head) = P(tail) =0.5.If tails appear a fair coin is tossed…

Q: TRUE or FALSE  For events A and B in a sample space, P(A|B) + P(A|Bc) = P(B).

A: Introduction: Suppose A and B are two events of interest in a sample space, with respective…

Q: If X is a random variable that distributes t-students with 12 degrees of freedom, using the table,…

A: X is a random variable with t distribution

Q: Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.5, P(F) = 0.3, and…

A: P(E) = 0.5P(F) = 0.3P(EF) = 0.1find value of :

Q: distribution of people by political party in California has changed since the year 2000.  Let’s say…

A: Solution Given the distribution is such that  political party in the following proportions: 42%…

Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

A:

Q: 9. Determine the sample size required for a c = 0 plan that will have at least 90% probability of…

A: Given,Lot size, Number of defective parts

Q: Determine whether the given procedure results in a bionomal distribution

A: According to given question, Total number of people=58 Out of 58, 15 are women and number of men…

Q: The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is…

A: Solution (a) Required probability= P(A)= P(On) = P( on and low )+ P( on and medium )+ P( on and high…

Q: if A, B are two event in sample space . if P(A) = 2 P(B) = 3 P(AN B) find P(A|B) Select one: a. • .…

A:

Q: Emphysema. The respiratory disease emphysema, which is most commonly caused by smoking, causes…

A:

Q: P(E:) = 25, P (E>) = 1 An experiment results in one of five sample points with probabilities P P(E)…

A:

Q: Suppose A and B are events in a sample space with P(A)=0.7, P(B)=0.48, P(B∪A)=0.88 answer the…

A: GIVEN DATA :  Two  events A & B in a sample space with PA=0.7, PB=0.48 and PB∪A=0.88       TO…

Q: State Farm Insurance studies show that in Colorado, 65% of the auto insurance claims submitted for…

A: 65% of the auto insurance claims submitted for property damage were submitted by males under 25…

Q: Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.43, P(F) = 0.69,…

A: From the provided information,

Q: b) Let A and B are two events such that: P(A) 0.5, P(B) 0.7, and P(AC n BC) = 0.2, use a Venn…

A:

Q: A and B are both events in sample space S.   P(A)=0.4 P(B)=0.3 P(A and B) =0.2   What's the…

A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2

Q: Exercise 4. A certain species of plant always has either three or five leaves. The number is random,…

A: We know that, for two independent event A,BP(A∩B)=P(A)P(B)   A plant can have either 3 leaves or 5…

Q: uppe

A: First question: We are given; Minimum data point=21Maximum data point=110Number of classes=8Lowest…

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

A:

Q: 2. If P(A) = 0.8, P(B) = 0.5, P(AUB) = 0.9, are events A and B independent events? Why or why not?…

A: P (A) = 0.8P (B) = 0.5P(A U B) = 0.9We need to find whether A and B are independent events.

Q: If A,B are two independent event in a sample space , if P(A) = 0.7,P(B) =0.6. Find PAU B) Select…

A: According to the provided information, we have A and B are two independent…

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9. Find…

A: We have given that  P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 P(A and B) = P ( A ∩ B)

Q: if the percentage of sound units in the production of a type of signal lamp is 80% and the number of…

A: Poisson distribution gives rare occurrence of events .  Here , total random sample = n = 10  &…

Q: Suppose that E and F are two events and that P(E and F)= 0.1 and P(E)= 0.8. What is P(FIE)?…

A: Given that,E and F are two events,P(E and F)=0.1P(E)=0.8

Q: 2.3 Let A and Bbe two events af the same somple space. If A and Bare independent and P(A) = 0.5 and…

A: P(A)=0.5, P(A⋂B)=0.20 P(B)=?

Q: If A,B are two independent event in a sample space , if P(A) = 0.7, P(B) =0.6. Find P(AU B) Select…

A: According to the given information, we have P(A¯)=0.7P(B¯)=0.6