If six different customers A,B,C,D, E and F arrive for service at random order what is the probability that customers B, D, and E arrive before other çustomers?

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: Suppose Emerson loses 39% of all ping-pong games. (a) What is the probability that Emerson loses two…

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Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: Number of type A balls = 8 Number of type B balls = 5 Number of type C balls = 3 Total number of…

Q: ive years after 650 high school seniors graduated, 400 had a college degree and 310 were married.…

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Q: Suppose George wins 29% of all air hockey games. (a) What is the probability that George wins two…

A: (a)   Obtain the probability that George wins two air hockey games in a row.   The probability that…

Q: Approximately 9% of people are left-handed. If two people are selected at random, what is the…

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Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

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

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

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Q: A box contains 10 red, 6 blue, and 4 green marbles.  Withdrawing 2 marbles at random without…

A: According to the given information, we have Number of red marbles = 10 Number of blue marbles = 6…

Q: (c) If a bank receives on the average of 6 bad cheques per day. Find the probability that it will…

A: Solution

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively.…

A: Solution

Q: Three sixth grade, two seventh grade, and five eighth grade students were randomly arranged in a…

A: Given, 3 sixth grade, 2 seventh grade and 5 eighth grade students are there. => Total students =…

Q: What is the probability of drawing a blue card first, then a red card?

A: Given that Total number of cards = 15 Number of green cards = 5 Number of blue cards = 5 Number of…

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 8 type B…

A: Here  the golf bag contains 5 type A balls, 8 type B balls, and 3 type C balls, Then, total balls =…

Q: If an urn has 10 white balls and 5 red balls, what is the probability that 4 randomly selected balls…

A: Hypergeometric distribution is given by

Q: Four cards are to be dealt successively at random and without replacement from an ordinary deck of…

A: Deck of card consists of 13 Spade cards. 13 diamond cards. 13 Club cards. 13 Heart cards.…

Q: A committee will be formed with 4 managers and 3 engineers selected without replacement…

A: Solution-: We have following information; A committee will be formed with 4 managers and 3 engineers…

Q: A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given Data :…

Q: at a meeting of 10 executives 7 women and 3 men 2 people will be selected to sit on a committee what…

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Q: In a certain state, each automobile license plate number consists of two letters followed by a…

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Q: This sample space shows all the possible combinations of one type of main dish and one type of drink…

A: From the image we see that there are combinations total. Roberto can select Egg and juice in only 1…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Here, the total number of customers is 2000. Number of customers who hold Visa is 1500 Number of…

Q: A bag contains 7 nickels, 2 dimes, and 8 quarters. If you draw 3 coins at random from the bag,…

A: Given that there are 7 nickels, 2 dimes, and 8 quarters. So total (7+2+8)=17 coins   We can pick any…

Q: A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random.…

A: It is given that, the number of red socks is 6 red, green is 4 and block socks is 2 in a drawer.

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

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Q: In a tank containing 10 fishes, there are three yellow and seven black fishes. We select three…

A: Hypergeometric distribution is given by

Q: b. Out of 50 students, 15students got grade B in "Probability and statistics". If two students are…

A: From the provided information, Total students = 50 Students who got grade B = 15 Students who got…

Q: If the letters a, b, b, i, i, l, o, p, r, t, y are arranged in a random order, what is the…

A: From the provided information, Total letters in word probability = 11 There are 2 b and 2 i’s in…

Q: A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired…

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Q: A hand of 8 cards is chosen at random from an ordinary deck of 52 playing cards without replacement.…

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Q: A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at…

A: It is given that, A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles and we draw 4…

Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

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Q: A bag contains 10 green balls and 6 orange balls. If a ball is picked at random, what is the…

A: Given: Number of green balls is, ng=10. Number of orange balls is, no=6. The objective is to find…

Q: Suppose you randomly choose 4 cards from a standard 52 card deck. (a) What is the probability that…

A: Giventotal no. of cards=52

Q: (d) If five balls are selected without replacement. What is the probability that we get three red…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 3. A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips…

A: Given that  Total nips=8 Blue nips=3 Yellow nips=1 Red nips=1 Green nips=1 Black nips=2 Note:…

Q: According to the administrative data from school, 76% of the students have a part-time job. Suppose…

A: Let P denote part-time job and S denote senior. Given: PP=0.76PS=0.28PP∩S=0.21 The probability that…

Q: A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly…

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Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.