QUESTION 14 Suppose 25 people are in a room. What is the probability that there is at least one shared birthday among these 25 people? Round your answer to the nearest thousandth. Answer: Work: 1-

Q: A survey of 125 freshmen business students at a local university produced the results listed below, ...

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Q: What is the mode of this data set? 36.25, 25, 42.4286, 37.125, 38.5893, 36.5,. 40.7321, 41.3571 *

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Q: ervice calls come to a maintenance center according to a Poisson process and, on the average, 2.7 ca...

A: Solution-: Given: λ=2.7 calls per minute We find, (a) P(no more than 4 calls come in any minute)=? (...

Q: Find a number L such that P|L 95. %3D Hint: A useful fact when using tables to find F-values is that...

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Q: OY find The Sample space for The experimentof throwing a Pink dice chce and alefine The event Er wit...

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Q: A random variable X is defined by the CDF if x 1 0, Answer the following: a) Find the value of K b) ...

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Q: A. a client will be assigned a room with faulty plumbing?  B. a person with a room having faulty pl...

A: A large industrial firm uses 3 local motels to provide overnight accommodations for its clients. Fro...

Q: Determine the probability that the system will operate under each of these cond a. The system as sho...

A: a) The given system has two components in series arrangement. Each component has a probability of be...

Q: Question 6 Suppose a Pharmaceutical company manufactures a specific drug and needs to perform some q...

A: Hypothesis Testing: Hypothesis testing is a statistical inference technique that uses sample data fo...

Q: Problem (6): In a group of 30 students, 17 plays computer games, 10 play board games and 9 play neit...

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Q: Question 8 ( A computer game is designed in such a way that a player either wins with probability 0....

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Q: 3. Find the probability of selecting either a non-smoker or a woman when you select a person at rand...

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Q: Suppose that in a certain town with a population of 5000 households, 3000 of the households have cel...

A: P: Cell phone C: Computers P(P) = 3000/5000 = 3/5 P(C) = 2000/5000 = 2/5 P(PnC) = 1500/5000 = 3/10  

Q: A math class consists of 14 female students and 20 male students. Two students are sele random to pa...

A: Given that  Total students=14+20=34 Male students=20 Female students=14 2 students are selected at r...

Q: A box contains 8 red, 3 white and 9 blue balls. If 3 balls are drawn at random without replacement, ...

A: It ia given that Number of red balls = 8 Number of white balls = 3 Number of blue balls = 9 Total = ...

Q: A box contains 4 black balls and 3 white balls, and another box contains 7 white balls and 3 black b...

A: Given that Box 1 Black ball=4 , White ball=3 Box 2 Black ball=3 , White ball=7 One ball is drawn fro...

Q: A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 8...

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:...

Q: class of 14 boys and 16 girls . What is the probability of choosing a boy from a class

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Q: Suppose that in a certain town with a population of 5000 households, 3000 of the households have cel...

A: Just apply simple probability rule...........

Q: 2. Let X, X, F(x), where f(x) = {e.0<x<and let Z= then the distribution 0,e.w of Z is A. FE) O A В. ...

A: Here the given p.d.f is of chi-square distribution with k= 2. As we know that,  If X~ chi-square dis...

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.4 inches...

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Q: A box contains 25 IC, five of which are defective. Two IC are drawn at random. Find the probability ...

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Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100...

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Q: respectively. What is the probability that teams A or B will win?

A: Here winning of each Team is mutually exclusive event Because two Team can not win at Same time   

Q: 6. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and th...

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted... Giv...

Q: Start with a deck of 64 cards—16 cards in 4 suits. Ask a person to think of card. Your task is to id...

A: The amount of information uncertainty in the single card,  Hs= log2N  Here total cards are N= 64 Hs=...

Q: A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the pr...

A: For the given data Find the probabilities

Q: Find the area to the right of a positive z value: z = 2.39 * 92.92% O 1.22% 0.84% 98.12%

A: Let Z be the random variable from normal distribution then we will find the area to the right of z =...

Q: The probability is (Round to four decimal places as needed.)

A: We have given that the Human Resource managers are randomly selected follow Binomial distribution wi...

Q: 3 groups of 3 people are to be selected from 9 people, of whom 3 are man teachers, 2 lady teachers a...

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Q: A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the prob...

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Q: 2. Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins un...

A: Given  X~geom(1/3)      

Q: Given P(A) = 0.34, P(B) = 0.60, P(C) = 0.21 and that events A, B, and C are independent, what is P(A...

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Q: A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given th...

A: P(Question 9) = P(Question 10) let say 1/2 =9C6/12C9 * 1/2 + 9C7/12C10 * 1/2= =42/220 + 18/66 =0.190...

Q: Exercise 4 (#5.6). Find an example of cumulative distribution functions G, G1, G2,.. on R such that ...

A: Given limnϱ∞Gn,G=0 ϱ∞(F,G)=supx|F(x)-G(x)| Find Find an example of cumulative distribution functions...

Q: 1. A lightbulb manufacturer has developed a new lightbulb that it claims has an average life of more...

A: Test is that whether new lightbulb has an average life of more than 1000 hours.  

Q: The principle of redundancy is used when system reliability is improved through redundant or backup ...

A: For the given data Find the probabilities

Q: Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind...

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Q: g) Given that the system did not park the car perfectly at most 6 times, what is the probability tha...

A: Given information: P(Perfectly)=0.82  P(Not perfectly)=1-P(Perfectly)=1-0.82=0.18 n = 29 X = number ...

Q: to the grand prize in the academic incentive program. Which is ciosest to the probability that the s...

A: here Given  The table of No of students who got Double As and One student will be selected from this...

Q: What is the probability of winning a lottery in which you must choose 4 numbers from the numbers 1 t...

A: We have to find the probability of winning a lottery in which you must choose 4 numbers from the num...

Q: Supposé that a bread manufacturing industry has three inspectors to stamp the expiration date on eac...

A: Given Let us define some events as follows:  A: A randomly selected packet is stamped by Ken B: A ra...

Q: (a) Give the marginal density of X1. (b) Give the marginal density of X2. (c) Give the conditional d...

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Q: Finally, let us talk about 6 digit PIN numbers. (All entries are 0-9). a) In how many ways can we ma...

A: 6 digit pin _ _ _ _ _ _ There are 9 ways to fill 1st place since if we put 0 it will be considered 5...

Q: The probability that a bachelor's degree recipient in 2006 majored in mathematics is 33 Find the odd...

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Q: 4. The average ticket for a basketball game is P400. Adding cost and fare, the average cost for a fa...

A: here given, mean  =  2200 standard deviation  = 100 X= cost for family of four      

Q: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for...

Q: Based on meteorological, the probability that it will snow in a certain town on January 1st is 26.5%...

A: Let us define an event E : it will snow in a certain town on January 1st. It is given that P(E) = 0....

Q: The binomial distribution has p = 0.5 and n = 20. Find P(X < 8). Use Table II, Appendix A. Express y...

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Q: determine who will give a gift to whom. In how many ways can this be done if exactly four staff memb...

A: Given Information: There are 25 staff members out of which 4 staff members draw their own names.