A branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows. Calculate the following probabilities directly form the cdf: (i) p(2), that is, P(X = 2); (ii) P(X > 3); (iii) P (2 ≤ X ≤ 5); (iv) P(2 < X < 5).               0        x < 0               0.06   0 ≤ x < 1               0.19   1 ≤ x < 2 F(x) = {  0.39   2 ≤ x < 3               0.67   3 ≤ x < 4               0.92   4 ≤ x < 5               0.97   5 ≤ x < 6               1         6 ≤ x

Q: Q2: If P(A)=0.25, P(B)=0.7, P(B|A)=0.6, draw the Venn diagrams and determine the following…

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Q: Q2: If P(A)=0.25, P(B)=0.7, P(B|A)=0.6, draw the Venn diagrams and determine the following…

A: Given that P(A ) = 0.25,P(B )=0.7,P(B/A) =0.6 Find all the required probabilities

Q: P(A)=0.56,P(B)=0.54,P(B∪A)=0.91P(A)=0.56,P(B)=0.54,P(B∪A)=0.91 Find the following probabilities.…

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

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Q: A building contractor requires a roll of roofing felt. There are three suppliers in the area and the…

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Q: Calculate the probabilities of the following birth orders for a couple that has four children.…

A: given data couple has four childrens. assume none of children are twins.

Q: What is the probability that all three components function properly throughout the warranty period?…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: The two events A and B are such that P(A)=0.6, P(B)=0.2, p(A|B)= 0.1. Calculate the probabilities…

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Q: The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability…

A: The probability that a man develops cancer in his lifetime is .The probability that a man has at…

Q: P(A)=0.56,P(B)=0.52,P(B∩A¯¯¯¯)=0.32P(A)=0.56,P(B)=0.52,P(B∩A¯)=0.32 Find the following…

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Q: There are 3 coloured bags p (pink), y (yellow), and o (orange). Bag p has 8 bananas, 7 mangos, and 3…

A: Solution: From the given information, Bag p has 8 bananas, 7 mangoes and 3 papayas. Bag y has 6…

Q: There are three alterntive links between A and B. The probabilities that a particular message has…

A: The probability can be obtained using the formula  P(at least one) =1-P(none)

Q: Two servers A and B are part of a network. Assume that events A and B correspond to A resp. B works…

A: Solutions Given: Two servers A and B are part of а network   And the following probabilities are…

Q: Consider the following statements: i. If A and B are independent, then Ā and B must be independent.…

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Q: 4. P4 = P(A | Bº). (P1, P2, P3, P4) =(

A: From the given information we have P(B) = 47/210 P(Bc) = 1 - P(B) = 1 - 47/210 = 163/210

Q: Find the probability of selecting 9 or more girls. 00.122 00.435 00.212 O 0.001

A: Given that  The probabilities corresponding to the 14 possible values of x are summarized in the…

Q: company is taking a survey to find out whether people like its product. Its last survey indicated…

A: given data, a company  is taking a survey to find out whether people like its productp= people like…

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: the probability that a car cannot reach Town C from Town A = P(H1) * P(H2) * P(H3) * P(H4)

Q: Suppose that P(A)= 0.6 and P(B)= 0.5. If events A and B are independent, find the probabilities:…

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Q: In a standard deck, there are 52 cards. Twelve cards are face cards (F) and 40 cards are not face…

A: a) The required probability is P(FN or NF)=P(FN)+P(NF)=4802652+4802652=0.36199095≈0.362 b) The…

Q: Three symbols a, b, and c with corresponding probabilities: P = { 30/100, 1-(30/100)-(20/100),…

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Q: Suppose that 1 out of 5 cars needs an oil change. Suppose we are to randomly select 8 cars. Let X be…

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Q: information, (a)Are the events L and F mutually exclusive? (b)Are the events L and F independent?

A: It is given asP(L) = 0.58P(F) = 0.5P(L∩F) = 0.31

Q: Two team (A and B) play a series of baseball games. The team who wins three games of…

A: Given for team A, The probability of winning in home field is 0.7, then the probability of losing in…

Q: A mouse is put inside a big room in which there are 4 exits through which the mouse can try to…

A: The traps at the  exits, functions properly with probabilities, 0.3, 0.2, 0.3, and 0.5 respectively.…

Q: Refer to the tree diagram in Figure 5.7. Suppose  you want to find the probability P(B|A) using the…

A: As per our Q &amp; A guideline, we can answer only three  sub questions.

Q: An editor has k documents to review. The order in which the documents are eviewed is random with…

A: (a)   Given that there are k documents. There are two document types: ‘Relaxation Through…

Q: A call center hires 10 call agents and owns 11 head sets for its call agents to use. Each call agent…

A: A call center hires 10 call agents and owns 11 headsets.The headsets do not function well with a…

Q: The PMF of the number of components K of a system that fails is defined by PK (k) = {() (0.2)*(0.8)…

A: Solution-; Let, K=be the number of components of system that fails Given: The pmf of K is,…

Q: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and…

A: given data N = 1000n(A) = 300n(B) = 450n(A∩B) = 50