Both 50% marksmen, Cj and Jc agree to a firefight in which they alternate shots until one of them is hit. How likely is it that the first shot will win?

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A: Ans#- In how many different ways can the letters of the word ' MATHEMATICS' be arranged           su...

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A: Given: μM=37.39σM=4.60μW=27.83σW=4.10  

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A: ( 4 ) X is number of heads obtained then P ( X =3 ) = ? (5 ) P( B' INTERSECTION  C') =? ( 6 ) P ( no...

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Q: (a) Find the probability that a randomly selected person in a fatal car crash who was ejected from t...

A: Here define events and draw tree diagram  Wearing seat belt = C Ejected from vehicle = E

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Q: (a) What is the probability that the vaccine selected is an outdated one? (b) If the vaccine selecte...

A: Here define events and draw tree diagram  Here use Bayes theorem 

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A: Given that, 2.  10 books be arranged in a shelf & one of them is a bible and it must be placed o...

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean o...

A: let X: the recovery time for a randomly selected patient.X has normally distributed with a mean(μ)=4...

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Q: n the volunteer's dilemma of N players, helping cost the player K utils. It only takes one player to...

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Q: Below is an incomplete probability distribution for a random variable X. 1 2 3 4 5 6 |f(x) |f(x) | 0...

A: As per our guidelines we can solve first three sub part of question and rest can be reposted. Soluti...

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A: GivenMean(μ)=102standard deviation(σ)=16

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A: a) Observational study.

Q: We know that the expected height of trees in a national park is 25 meters, with a standard deviation...

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Q: If an employee is selected at random, find the probability that the employee is a deli/bakery worker...

A: Here total  employees = 45 represented in table  Probability = Favorable / total 

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Q: 2. The number of mobile phones sold per day at a retail store varies as shown in the given probabili...

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Q: O 154% O H £ 1) A shipment of five computers contains two that are slightly defective, If a retailer...

A: Given that  We have to define which type of random variable discrete or continuous :   

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Q: The mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 6 d...

A: Given,mean(μ)=13standard deviation(σ)=6

Q: A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% relia...

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Q: The population of a particular country consists of three ethnic groups. Each individual belongs to o...

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Q: In how many ways can 5 man draw water from 5 taps if no tap can be used more than once? * O 720 О 36...

A: Introduction: There are 5 men, who draw water from 5 available taps.

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A: Given that, Either the plant at site 1 or both of the other plants are completed by the contract dat...

Q: A building contractor buys 70​% of his cement from supplier A and 30​% from supplier B. A total of 7...

A: See below the solution

Q: A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 75%...

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Q: the cafeteria, the probability of picking a banana is 42% and the probability of picking an apple is...

A: We have given that  P( picking an apple)=P(A)=(25%=0.25 P( picking an banana)=P(B)=42%=0.42  

Q: From a sack of fruit containing 3 apples, 2 bananas, and 3 oranges, a random sample of 4 pieces of f...

A: Solution

Q: There are 1000 students in the year level and they have to participate in a certain activity. They c...

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Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a select...

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Q: The number of items sold per day at a retail store, with its corresponding probabilities, is shown i...

A: Mean(μ)=∑X.P(X)

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Q: An asset has 0.5% chance of attack and 20% chance of the attack being successful if it happens. The ...

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Q: Tossing Coins A coin is tossed 5 times. Find the probability of getting exactly three(3) heads. 1. W...

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A: Given that  Properties a Cumulative distribution function :  We have to define it's properties:   

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A: Given that Find Variance of A = ?

Q: The Вayes decision functions d;(x) = p(x|w;) p(w;), j = 1, 2, ... w; were derived using a 0 - 1 loss...

A: Consider that the Bayes decision functions were derived using a 0-1 loss function.

Q: Question 1: In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of ...

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Q: In a digital transmission system, bits of 0's and 1's are transmitted sequentially through a cable. ...

A: Given that  n=10 , p=20%=0.20 , q=1-p=1-0.20=0.80 X~Binomial(n=10,p=0.20) p=Probability of the bits ...

Q: Given a 95% confidence interval for a population mean l: 95% CI for µ = (-2.3, 3.5) Which statement ...

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Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and with...

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