An assembly consists of three mechanical components. Assume that the probabilities that the first, second and third components meet specifications are 0.95, 0.98 and 0.99 respectively. Assume that the components are independent. What is the probability that all components of an assembly meet the specifications? Determine the probability function of the number of components of the assembly that meet the specification

Q: Let Ω be some basic set, P its probability distribution, and A, B ⊂ Ω events. (1) Show that if A is…

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Q: P(A u B) = 0.4 and P(A n B) = 0.2. Find P(A) + P(B).

A: Given Data: The probability of the union of set A and B is: PA∪B=0.4 The probability of the…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Given PMF of X. Now will using this pmf to find required information

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A: It is given that 34 of the students pass the mathematics sections, 45 pass the English, and 23 pass…

Q: Two engines (one old and one new) fail independently of one another. The probability that both…

A: Independent events: Those two or more events are considered independent events if the appearance of…

Q: Probabilities that customers A, B, and C purchase an item are 0.7, 0.6, and 0.1 correspondingly.…

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Q: Find the probability ​P(Ec​) if ​P(E)=0.25.

A: We want to find vlaur of people(Ec)

Q: Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been…

A: let X be the hit the target n=3, p=0.90 X~B(3,0.90) (1) P(X>=2)= ?  (2) P(X=2)= ?

Q: The probability that a newborn baby does not cry after midnight is 2/50. The probability that a…

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 P(X=x) 2/50 11/50 23/50 9/50 5/50…

Q: :The probability of an event E is defined as

A: Answer: Probability is a measure of how likely it is for an event to happen. Let E is the event that…

Q: Find the probability P(Ec​) if ​P(E)=0.42.

A:

Q: The probability function given in the following table is for a random variable X that takes on the…

A: Note; Since, the given data is decrease and bar graph option is not available in TI-84 calculator.…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

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Q: nown as subjective probability. the law of large numbers. an impossible event.

A: It is an important part of statistics. It is widely used.

Q: Determine whether each of the following statements is true or false, and explain why.The probability…

A: The statement that probability of an event E given an event F and probability of F given E is same.…

Q: In a game a die is thrown, and if 4, 5, or 6 comes up you win; otherwise for 1, 2, or 3 you lose.…

A: Outcome when a die is thrown : {1,2,3,4,5,6} 4,5,6 is symbol of win  1,2,3 is symbol of lose

Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

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Q: Determine if each event is independent or dependent.  Then find the probability. Joe often speeds…

A: GivenProbability that he will speed to school=0.75Probability that he speeds and gets stopped by…

Q: Determine if each event is independent or dependent.  Then find the probability.   Medical…

A: Below 200 200-240 Above 240 Total Male 53 372 423 848 Female 79 297 188 564 Total 132…

Q: Determine whether or not the distribution is a discrete probability distribution and select the…

A: It is an important part of statistics. It is widely used.

Q: An electrical system consists of 4 components with each probability of functioning as above. What is…

A: It is given that an electrical system consists of 4 components with each probability of functioning…

Q: a) Write and draw the probability distribution of the face that appears when a dice is rolled.…

A: Note: " Since you have asked multiple question, we will solve the first question for you. If you…

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: The table shows discrete random variable values with their probability values.

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

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Q: probability distribution gives the possible values of the random variable and the probabilities of…

A: Here, we know that the sum of all probability is equal to 1. We will sum all probability and find…

Q: Aand Bare shooting baskets, with probabilities of making a shot at 0.6 and 0.7 respectively. Each of…

A: people, A and B are shooting baskets.The probability of A making a shot, The probability of B making…

Q: The probabilities of two events A and B are 0.23 and 0.30 respectively. The probability that both…

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Q: The following plot shows the probability function of a random variable X. Estimate the needed…

A: From the given plot Find p (x =-1 ) =?

Q: 2. P(X) = for X = 0, 1, 2 X +2

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Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: The distribution is as follow:Value of x of XP (X=x)-10.120340.1660.19

Q: P(x) O 0.029 ive males with an X-linked genetic disorder have one child each. The andom variable x…

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Q: company wants to evaluate its attrition rate, in other words, how long new hires stay with the…

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Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Mean(μ)=E(X)=∑X.P(X)E(X2)=∑X2.P(X)Variance(σ2)=E(X2)-(E(X))2Standard deviation(σ)=E(X2)-(E(X))2

Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

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Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

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Q: Tom exercises shooting. He is allowed to make 3 shoots. For every shoot Tom makes, Probability of…

A: Given data: The total number of shoots is n=3. The number of shoots exactly hit by Tom is r=2. The…

Q: Determine whether each of the following statements is true or false, and explain why.A die is thrown…

A: When two dices are rolled, Total number of outcomes = 36Outcomes are = (1 ,1)(1, 2)(1, 3)(1, 4)(1,…

Q: Let F be an event with probability 0.72. Find the probability of (not F).

A: The Complementation RuleFor any event E,

Q: 0.035  0.063  0.182  0.430

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Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.41​, and ​P(F)=0.47.…

A: According to the given information, we have Event E and F are mutually exclusive, P(E) = 0.41 P(F) =…

Q: Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a…

A: It is given that the random variable X is the number of children among the five who inherit the…

Q: A probability distribution gives the possible values of the random variable and the probabilities of…

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Q: the probability that a missile hit the target is 0.90. If three missile of this type has been fired.…

A: Let, X=the number of missiles that hit the target. n=number of trials= 3 p=probability of success=…