A box contains three coins: one is fair, one is two headed and onè coin is weighted so that the probability of heads appearing is 1/3. A coin is selected at random and tossed. Find the probability that head appears.

Q: A student receives, on average, 7 text messages in a 2-hour period. What is the probability that the…

A: To find the probability

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A: Given, Let A be the event of success that Airlines report of its flights are on time Random sample…

Q: Compute the probability of randomly drawing five cards from a deck and getting exactly one Queen?…

A: There are 52 cards in a standard deck of cards.  We can draw any 5 cards in 52C5=2598960 ways…

Q: Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets…

A: Let T denotes with the addition of two random variables(X+Y)

Q: A fair coin is flipped 8 times. What is the probability of obtaining at least one H?

A:

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: Suppose a math class contains 36 students, 19 females (four of whom speak French) and 17 males (two…

A:

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: A jury of 12 people is selected randomly from the population. If it is known that approximately half…

A: Solution

Q: Assume that 40 percent are of type A, 30 percent of type B, and 30 percent of type C. It is known…

A: Let G= Event that the seed is germinated P(A)=0.40 , P(B)= 0.30 , P(C)=0.30 P(G|A)=0.20 ,…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Consider X be random variable which follows binomial distribution indicates the students belongs to…

Q: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

Q: A poll is given, showing 20% are in favor of a new building project. If 6 people are chosen at…

A: ( 1 ) Given n =6,p=0.2,p(x=1) =? ( 2) Given n = 8 , p=0.05 , p( x=4 ) =?

Q: A poll is given, showing 20% are in favor of a new building project. If 8 people are chosen at…

A:

Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: A bag of marbles contains 6 blue glass marbles, 8 yellow glass marbles, 33 blue stone marbles, and 2…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose a math class contains 47 students, 24 females (four of whom speak French) and 23 males (six…

A:

Q: A fair coin is tossed four times. What is the probability of obtaining  A) Exactly one head?

A: The probability of getting head is   Let the R.V X denotes the number of heads and it follows the…

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

A:

Q: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

A:

Q: Suppose a math class contains 35 students, 19 females (four of whom speak French) and 16 males…

A:

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given data: The expression for the probability of rolling a two, four, or six is equally likely…

Q: In a large hotel, it is known that 99% of all guests return the room keys when checking out. If 250…

A:

Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

Q: At a restaurant, 60% of customers typically order a salad with their meal. What is the experimental…

A: As per given by the question, calculate the experimental probability that the next 4 customer will…

Q: In a small private​ school, 3 students are randomly selected from 19available students. What is the…

A: We have to find total ways to pick 3 students from 19 students I. e 19C319C3= (19 * 18 * 17) / (3 *…

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 24 sugar…

A:

Q: A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at…

A: Given p =0.6 and n=3   P(X>3)=1-P(X<3)               =1-Cxn px(1-p)n-x…

Q: It is known that in a batch of milk cartons, 30% are underfilled. In a sample of six milk cartons…

A: Given that the batch of milk cartons underfilled is 30% and there are sample of six milk cartons.…

Q: Suppose a math class contains 42 students, 18 females (six of whom speak French) and 24 males (four…

A: given that , total students =42 , female students = 18, male students = 24. Female students who can…

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given information- We have given a six-sided die. We have given that rolling a two, four or six is…

Q: Suppose a math class contains 23 students, 11 females (five of whom speak French) and 12 males (four…

A: From the information,   French Not French Total Female 5 6 11 Male 4 8 12 Total 9 14 23

Q: Suppose a math class contains 27 students, 14 females (six of whom speak French) and 13 males (three…

A: Solution: From the given information, a class contains 14 females. Out of which 6 speck French.…

Q: From a group of 4 men and 5 women, a committee of size 3 is to be selected. Find the probability…

A:

Q: what is the probability that she will select a blue marble first, then a clear marble?

A: AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  Here use basic probability  Probability =…

Q: f 2 percent of the rifles in an arsenal are defective, what is the probability that a random sample…

A: Given that  2 percent of the rifles in an arsenal are defective . P = 2% = 0.02 Sample size (n) =…

Q: A cookie is selected at random from a basket containing 21 mint cookies, 18 caramel cookies, three…

A: Given that there are 21 mint cookies, 18 caramel cookies, 3 sugar cookies, and 28 peanut butter…

Q: If the seed has germinated, what is the probability that it is of type A?

A: We need to use concept of conditional probability because we are interested to find probability of…

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

A:

Q: Suppose a math class contains 39 students, 18 females (three of whom speak French) and 21 males…

A: A math class contains 39 students. That is, n=39. Let F is defined as the student is female, M is…

Q: The probability that an individual is left-handed is 12%. In a randomly selected class of 30…

A: The following information has been given: The probability that an individual is left-handed is 12%.…

Q: Suppose a math class contains 41 students, 19 females (two of whom speak French) and 22 males (three…

A:

Q: For a box containing 25 matches dropped into water, what is the probability that fewer than three of…

A: Let p be the probability that a match will light. Given that p = 0.17 Let X denote the number of…