Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and 13 ranks in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). You pick cards from the deck one at a time without replacement. What is the minimum number of cards you must pick in order to guarantee that you get: a) a pair of any rank, b) two aces, and c) all four aces.

Q: Consider an ETNB distribution with r = -0.25 and ß = 1. Determine the probability of the ETNB for th...

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Q: Three randomly selected children are surveyed. The ages of the children are 2, 6, and 7. Assume that...

A: Data given  2,2,2,6,2,7,6,2,6,6,6,7,7,2,7,6,7,7

Q: 1. A coin is thrown 4 times, what is the probability that at least one head is obtained?

A: Let p be the probability of getting head. Given that p = 0.5 Let X denote the number of heads in tos...

Q: a) Derive the probability for guessing the correct in a ten-item in a true or false type of quiz. b)...

A: Given that n =10 Find a) Derive the probability for guessing the correct in a ten-item in a true or ...

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Q: The large airline company, Cloudscape, knows from experience that only 77% of the passengers booked ...

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Q: Compute the probability of randomly drawing five cards and getting exactly two Aces

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Q: TOPIC: CONDITIONAL PROBABILITY 7) One card is selected from a deck of cards find the probability th...

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Q: Assume a lottery system, it have 10% winning rates, that only win or not win. Tom  win 11 times afte...

A: Given information: P(Win) = 10% P(Win) = 0.10 P(Not win) = 0.90

Q: company has this probability of daily sales of a perishable product: Volume 100 150 200 250 Pr...

A: For 90% service level Service factor 1.27  

Q: In a Pinochle deck, each of the four suits (hearts, diamonds, spades, and clubs) has two of each of ...

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Q: If Z is a standard normal random variable, find the value z, for the following probabilities. (Round...

A: Ww have given that Z is standard normal random variable i.e, Z ~ N(0, 1).     Note: According to Bar...

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 3)A rental agency has 12 white cars, 8 gray ...

A: Followings are the Explanation of the question Number of White Cars: 12. Number of Gray Cars: 8. Num...

Q: We have found that the Chi-square computed is greater than the Chi-square table value. O The experim...

A: Chi square test is used to understand the association between the two categorical variable. It is ca...

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 7) A math club with five male senior members...

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Q: Under what circumstances should you choose an alternative referencing style? You can choose any styl...

A: First we have to understand the meaning of referencing. Referencing -  Act of acknowledging other's ...

Q: A bowl contains five red balls, six white balls, and four green balls. In how many ways can six ball...

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Q: In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. If you select ...

A: It is given that Number of number cards = 76 Number of action cards = 24 Number of wild cards = 8 To...

Q: An experiment consists of rolling a die until a 3 appears. List the elements of an event E, that eve...

A: Let A denotes any other number on die.  Then  3 can appear on the first roll then first element is 3...

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be se...

A: We label one of the two people insisting the sit next to each other as person A and the other as per...

Q: In a standard deck of 52 cards how many ways are there to: a) Pick a face card and a ten? b) Pick an...

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Q: There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 41% of the...

A: Given data,Probability of scratchers are winning ones is p=41%=0.41No of scratchers is n=7Find the m...

Q: An experiment consists of rolling a die until a 3 appears. List the elements of an event E, that eve...

A: Solution-: List the elements of an event E, that event that 3 appears before the fifth roll. 

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Q: Calculate Standard Deviation and coefficient of variation.

A: Here given grouped frequency distribution of daily earning

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A: We have given that   X ~ B( n, p ), where n is a positive integer and 0&lt;p&lt;1. The mean of X is ...

Q: In a company, a mechanic maintains four very important machines in a production process, which usual...

A: Let λ1 denotes the average of machine breaks down time. Let λ2 denotes the average of repairing time...

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1   

Q: Example 1.7.3 Prove that dx/x is divergent. 1

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Q: In a recent year (365 days), there were 693 murders in a city. Find the mean number of murders per d...

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Q: Twelve officers of an organization are to be divided into committees. In how many ways can the offic...

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Q: True or False The Law of Total Probability states that If the events{B;}", constitute a partition of...

A: For the given statement,  we need to tell if this is true or false.

Q: 5. Find the probability that a leap year has 52 Sundays.

A: Given  52 sundays in leap year   

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Q: 42. Independent random samples are selected from two populations. Below are selected summary statist...

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Q: A production process manufactures electronic components with timing signals whose duration follows a...

A: Critical values are calculated by table 

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A. ...

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

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Q: The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: You are tasked to arrange five different Mathematics books, four different Science books, and three ...

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

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Q: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

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Q: Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ...

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Q: Is hoticed that the probability that the test detects an infected = 80%. Use Baeye's rule to calcula...

A: Here draw tree diagram and use Bayes rule 

Q: You hired Helen to manage your coffee shop. The profits that you obtain from the coffee shop depend ...

A: When profit= 1000 then total expected amount Helen get when she works hard , E(X) =1000*0.5 = 500  P...

Q: Construct a 98% confidence interval to estimate the population mean when x= 131 and s 34 for the sam...

A: We have given that,  x̄ = 131, s = 34 Then,  We will find 98% confidence interval? 

Q: Given that P(A) = 0.2, P(B) 0.7, and P(A|B) 0.12. Then P(A B) 0.233 0.184 None of other options 0.20...

A: Let A and B are two events with P(A) = 0.2 , P(B) = 0.7, P(A/B) = 0.12 Then, We will find P(A'∩B') =...

Q: A coin was tossed 400 times and the head turned up 216 times. Test the unbiased at 5% level of signi...

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING  here use sin...

Q: Assuming that the samples comes from normal distributions, find the margin of error E, given the fol...

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

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