A gadget has three temperature options (Low, Medium, and High) and two power settings (On and Off). You conduct an experiment where you observe the status of the machine throughout its day-to-day use, and the probabilities associated with each of the possible outcome pairs is shown. Consider the following events: A: {On} B: {Medium or On} C: {Off and Low} D: {High} Find P(B)        A. .65   B. .5   C. .6   D. .72

Q: There are three kinds of vegetation in an ecosystem: grass (G), shrubs (S), and trees (T) (Bodine,…

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Q: Q22. In a computer network a virus is spreading from machine to machine. Each week, the proportion…

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Q: Mr. Grant stocks three types of refrigerators at his appliance store. F(a)= 35%, F(b) =45% and F(c)=…

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Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (AN B) = 1/4.…

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Q: A circuit operates as long as there is a functional path, which does not include any dysfunctional…

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Q: Part 1 A researcher collected a sample of 50 respondents in a shopping mall on a weekend. The data…

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A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: First question: For an non null event A it known that P(A) + P(Ac) = 1.

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: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and %3D P (A n B) =…

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Q: A sports car manufacturer paints its cars silver, white, black, and red in the following…

A: Given data : a) P[ White ,Gray ] =P[white] P[gray] =0.3 0.6=0.18 Explanation : There the P[ White…

Q: Two events A and B are having the following probabilities: P(A) = 0.43, P(B) = 0.36, P(A and B) =…

A: P(A)=0.43 P(B)=0.36 P(A and B)=0.23

Q: The joint probabilities are summarized in the table below and we found P(I) = 0.09. Compute the…

A: Given that  P(I) = 0.09

Q: Question (3): Mr. Samy is planning for farming dates this year based on the temperature probability…

A: We have to use Bayes theorem to find the conditional probability.

Q: A and B are two events with P(B) = 0.38, P(A and B) = 0.23, P(B|A) = 0.42 Find P(A) Round to…

A: Answer: From the given data, P(A) = 0.38 P(A and B) = 0.23 P(B | A) = 0.42

Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car)…

A: Let us denote the event  A: Those who buy a new car. B: Those who buy a European car. Given,…

Q: A and B are two events with P(A) = 0.36, P(A and B) = 0.23, P(A|B) = 0.44 Find P(B) Round to two…

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Q: Suppose P(A) = 0.2, P(B) - 0.45, and P(A n B) = 0.02. Find the following probabilities. P(A n B) =…

A: Given that, P(A) =0.2P(B) = 0.45P(A∩B)=0.02

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: An automotive plant produces three types of vehicles: Sedan, SUV and Sports. 56% of the production…

A: Given information: The probabilities are as given below: P (Sedan) = 56% = 0.56 and P (SUV) = 20% =…

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the…

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Q: Given two events the probabilities of each occurring are as follows: P(G) = 0.26; P(H) = 0.35; P(H…

A: Given data, P(G) = 0.26; P(H) = 0.35; P(H AND G) =0.11  P(H OR G)=?

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Q: You have invested in three different stocks: Engineering Aces, Upton Clothiers, and Thompson Musical…

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Q: an electronics store Two types of customer data are stored. The first is the number of customers…

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Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car )…

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Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following…

A: Here it is given that A and B are independent events with P(A)=0.6 and P(B)=0.4.

Q: You are given the following data table:                                          Female…

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Q: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and %3D P (A and B) =…

A: Given that P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.3

Q: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

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

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Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.5; P(H) =…

A: Given,P(G)=0.5P(H)=0.31P(H AND G)=0.09