Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green marbles.

Q: Public Opinion reported that 5% of Americans are afraid of being alon night. If a random sample of…

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Q: Suppose that about 85% of graduating students attend their graduation. A group of 25 graduating…

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Q: Calculate the average number of rolls of one dice needed to roll two sixes in a row.

A: We have to find the average of two sixes in a row. We know that the expected number of rolls to get…

Q: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

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Q: In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total…

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Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

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Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

Q: How would I solve the following problem: Of five letters (A, B, C, D, and E), two letters are to be…

A: Ans#- Given,           Five letters (A, B, C, D, and E), two letters              are to be selected…

Q: An urn contains 3 yellow balls and 6 white ball . If Vince chooses 7 balls at random from the urn ,…

A: The number of yellow balls is 3 and the number of white balls is 6.

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: In a certain town, 25% of the students failed math, 15% failed chem and 10% failed both math and…

A: Hi there! Thanks for the question, since there are multiple questions we have solved the second…

Q: From a coin box containing 4 dimes and 2 nickels, 3 coins are selected at random with replacement…

A: We have to answer basic questions on coins.

Q: from a coin box containing 4 dimes and 2 nickles,3 coins are selected at random replacement after…

A: A box contain 4 dimes and 2 nickels, we need to select 3 coins at random with replacement.…

Q: selected at random didn't pass the test is:

A: Here use basic rule of probability multiplication

Q: An urn has 5 red balls, 5 blue balls, 4 green balls, and 3 yellow balls. What is probability of…

A: It is given that Number of red balls = 5 Number of blue balls = 5 Number of green balls = 4 Number…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: You roll two fair dice, one green and one red. Find P((5 on green die and 3 on red die) or (3 on…

A: The value of P((5 on green die and 3 on red die) or (3 on green die and 5 on red die)) is,

Q: In one year, three awards (research, teaching, and service) will be given to a class of 25 graduate…

A: Given, In a year, 3 awards are given to a class of 25 students such that no one gets more than 1…

Q: To use the table of random numbers correctly, one must start at the top left hand column and read…

A: Given info: To use the table of random numbers correctly, one must start at top left hand column and…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

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Q: A shipment contains 10 ​igneous, 8 ​sedimentary, and 8 metamorphic rocks. If 8 rocks are selected…

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Q: (a) What is the probability that boys and girls alternate in a random row arrangement of 3 boys and…

A: Given, there are 3 boys and 3 girls. and arrangement is in alternate form which may be BGBGBG or…

Q: The top 40 qualified applicants for a scholarship are identified and 4 are selected at random to…

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Q: How many hands of 5 cards from the deck of 52 are there?

A: Solution: From the given information, there are 52 cards and 5 cards are to be drawn at random.

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: Find the probability of obtaining 3 kings in 5 draws from a pack of cards.

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Q: find the probability of observing (a) exactly 2 defectives, (b) at least three defectives, (c) 2≤X<5…

A: Given: There are 15 fuses in sample so n=15 p = probability of defective fuse = 5% = 5/100 = 0.05  q…

Q: Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting…

A: Given that 3 cards are selected. That is, n=3 There are four cards one club, one diamond, one heart…

Q: Find the probability that a randomly selected group of five adults will contain all women. Give your…

A: Let the probability of selecting a man and woman is 1/2

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to…

A: Given Number of zinfondel bottles z=11 Number of Merlot bottles m =7 Number of cobernet bottles c=13…

Q: From a group of 12 students, we want to select a random sample of 4 students to serve on a…

A: From the provided information, Total students in a group = 12 The different ways of selecting r…

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: From a group of 12 students, we want to select a random sample of 5 students to serve on a…

A: Given n=12 r=5

Q: Suppose we want to pick two numbers from{1,2,3,....,100} randomly. What is the probability that the…

A: Modulo 5 = 0 are 20 Modulo 5 = 1 are 20 Modulo 5 = 2 are 20 Modulo 5 = 3 are 20 Modulo 5 = 4 are 20…

Q: There are 3 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: A university offers 8 courses, numbered C1, C2, ..., C8. There are 40 students, and each takes three…

A: Given : n = 40 The probability of selecting any 1 of the 8 courses = 1/8 X ~ Bin(n,p)

Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

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Q: There are 3 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

A: Given that the coin pouch contains 3 quarters, 2 dimes and 1 nickels. The random variable X is…

Q: Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of EIGHT classrooms.…

A: Given data: Total classrooms = 8 4 rooms at random are tried to save time To find:  The possible…

Q: A three-person committee is chosen at random from a group of 7 women and 6 men. Find the probability…

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Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected…

A: Given that  Shipment contains rocks  igneous = 10 Sedimentary = 8 Metamorphic = 8 Total rocks = 26…

Q: Select two random numbers from 11 to 80. If 2 is added to the tens digits, what is the difference…

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Q: Diana baniak Searching for an ecology class, knows that it must be in one of eight classrooms. Since…

A: We have to find number of ways

Q: Joe had 6 favorite baseball teams , and he puts their flags in his flagpole in random order. How…

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Q: A teacher will randomly award three students with extra credit. How many possible ways can the…

A: Given that  , a teacher will randomly award three students with extra credit .  Teacher can pick…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.