Suppose that a family has 8 children.​ Also, suppose that the probability of having a girl is 1/2. Find the probability that the family has at least 7 girls. The probability that the family has at least 7 girls is ___ ​(Type an integer or a simplified​ fraction.)

Q: Suppose you have three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue, Y…

A: Given that there are three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue,…

Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when…

A: Given The data is as follows: Birth of boys and girls are equally likely.

Q: A new computer user creates a password consisting of one letter followed by a one-digit number (0 –…

A: Given data: The total number of digits is n=10. The total number of the alphabet is A=26.   The…

Q: An urn contains 7 red and 4.white balls. Two balls are drawn in succession without replacement. If…

A:

Q: A single die is rolled twice. In reduced fraction form, Find the probability of getting a number…

A: A single die is rolled twice. It is needed to find the probability of getting a number less than or…

Q: An individual chooses a prime number that is less than 13. What is the probability that the number…

A: Here the individual chooses a prime number less than 13. Prime numbers less than 13 is given by…

Q: A bag contains a total 20 marbles; 8 blue, 7 red, and 5 white If 2 marbles are chosen without…

A: From the provided information, Total marbles a bag contains = 20 Blue marbles = 8 Red marbles = 7…

Q: A small class has  9  students,  5  of whom are girls and  4  of whom are boys. The teacher is…

A: GivenNo.of girl students=5No.of boy students=4Total no.of students=9

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born.…

A: given data  P(boy)=P(girl) = 0.5 n = 5 childrens  P( atleast one boy) = ?

Q: A person wrote n letters, sealed them in envelopes and wrote the different addresses randomly on…

A:

Q: Suppose that voters arrive at a polling station at the rate of 120 per hour. Find the probability…

A: Given: The probability having 200 voters that will arrive within two hours of each other.  Hence,…

Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when…

A: Given : Events(E) are : A( having a baby boy) B(having a baby girl)

Q: Jod are dealt two cards successively (without replacement) from a shuffled deck of numbered cards…

A:

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: The probability that a one, two, or six will appear face up on the throw of one die is

A: Suppose one die is rolled. Then its sample space is written as, S=1, 2, 3, 4, 5, 6

Q: In a bag there are 9 gumballs, 15 chocolates, and 30 sour candies. Express the probability that the…

A: Given Data: The number of gumballs in the bag is: g=9 The number of chocolates in the bag is: c=15…

Q: Drug tests are designed with a known sensitivity. However, those interested in such tests want to…

A: Given information: The accuracy of the test is 99% and that 0.5% of the population uses the drug.…

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hears, diamonds,…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Suppose that the probability that Bob eats a banana at lunch is  14%.  Also, suppose that the…

A: Given that, The probability that Bob eats a banana at lunch is,  0.14 The probability that Bob eats…

Q: An urn contains 5 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A:

Q: The mathematics faculty at a college consists of 11 professors,12 associate professors, 9 assistant,…

A: The mathematics faculty at a college consists of: 11 professors 12 associate professors 9 assistant…

Q: Michael has 17 files in a filing cabinet labeled from A to Q, one file per label. If he chooses one…

A: Probability is the occurrence of an event chance. It also used to explain the likelihood of an event…

Q: Suppose that a family has 6 children.​ Also, suppose that the probability of having a boy is 12.…

A: Let  'X' be the random variable representing the number of boys in the family.  The random variable…

Q: A fair die is rolled five times. A 5 is considered "success," while all other outcomes are…

A: roll a fair die five timessuccess : Roll a 5P(getting 1 success) = ?

Q: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

A: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

Q: A single die is rolled twice. Find the probability of rolling an odd number the first time and a…

A:

Q: A group of people were asked if they had run a red light in the last year. 220 responded "yes", and…

A: Here we need the probability that a randomly selected person has run the redlight. Given that 220…

Q: Suppose a fair die is rolled 6 times. What is the probability that the die comes up with a 5 or a 6…

A:

Q: n a lottery game, a player picks 6 numbers from 1 to 46. If 5 of the 6 numbers match those drawn,…

A: pick 6 numbers from 1 to 46. if five of the 6 numbers matches with drw=awn numbers player win second…

Q: A single die is rolled twice. Find the probability of rolling an even number and a number greater…

A: If m is the probability of a event to be success and if n is the probability of another event to be…

Q: A die is rolled as many times as necessary until a 6. If X measures the number of the roll in which…

A: Given Information: A die is rolled repeatedly until a 6 is obtained. X denotes the number of roll in…

Q: Each individual letter of the word Minnesota is placed on a piece of paper, and all 9 pieces of…

A: Given that, Total papers=9 Consonant papers= 5 We know that probability of any event A is  P(A)=…

Q: 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given Total tickets=30

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.