An urn contains 7 balls of which three are red and four are green. Three balls are chosen randomly from this urn. Let X be the random variable that represents the number of green color balls among the randomly chosen balls. Find Var(X) (Correct Upto 2 decimal points).

Q: block of bits with n rows and k columns uses horizontal and vertical parity bits for error…

A:

Q: Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without…

A: Hypergeometric distribution is given by

Q: Suppose there are 14 boys and 6 girls in a classroom. A teacher randomly selects 5 students from the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

A: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

Q: A bag contains 8 green balls, 6 black balls and 7 red balls. Find the probability of selecting 3…

A:

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: A fair coin is tossed 3 times. Find the probability of tossing 3 tails in a row,  answer as a…

A: Let H denote heads Let T denote tails Let S be sample set   S={ HHH, HHT, HTH, THH,       TTT, TTH,…

Q: in a choir, there are 14 sopranos, 17 altos, and 6 basses. A group of 6 needs to be selected.…

A: Solution: From the given information, there are 14 sopranos, 17 altos and 6 basses. Here, a group of…

Q: In a factory, in a batch of 100 products, there are on average 3 of defected ones. Probability of…

A: Given: n=100 and x=3 Then,p=xn=3100=0.03

Q: We have an empty 4X4 grid. We then place 4 apples at random in different squares of the grid. What…

A: Let us represent 4X4 grid by coordinates (i,j) where, i =1,2,3,4 and j = 1,2,3,4 So, there are 4*4 =…

Q: A cubic die was rolled 1200 times and the outcomes were recorded.  The records show each even…

A: Introduction: It is required to find the probability of each outcome n = 1, 2, 3, 4, 5, 6, when the…

Q: nd the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order…

A: Number of ways of arranging 4 sticks will be: Total ways = 4!                 = 24

Q: 59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a cat. If…

A: Given 59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a…

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: coin is flipped three times. Y is a random variable that assigns 3 times the number of heads flipped…

A:

Q: Mary used her house? of a can of paint to cover * of the outside of her house. How many cans of…

A: Given18 cover  = 12 cans

Q: There are 5 white, 4 black, and 3 red balls in an urn. We select 3 balls at random from this urn.…

A:

Q: Assume that the group has a portfolio of 6 stocks. There is 30% chance that any one of these stocks…

A:

Q: Suppose a system will only work if all 5 components work. The probability that a particular…

A: Given that the probability that a particular component works is 0.915.Each component is independent…

Q: Nine balls are distributed among four boxes randomly. Calculate the probability that one of the…

A: Here given that total number of items, n=9 We can distribute 9 balls among 4 boxes in…

Q: B is fo

A: The three subsets are given which are A ,B and C. It is given that B is four times as likely as A.…

Q: A person picks a number between 1 and 264935. The random variable Z assigns the number picked to…

A: The person picks a number between 1 and 264935.

Q: in a year selected randomly,what is probability that Eid ul Fitr 2021 will come on wednessday?

A: In leap year, there is 366 days  In non leap year, there is 365 days

Q: Eight balls , each marked with different whole number placed in a box. Three of balls are drawn at…

A: given   : 8 balls  2     3     4      5      6     7     8    9  o    o      o      o     o     o…

Q: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls.…

A: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red…

Q: What is the rstudio code to find the probability that an observation from N(-2, 1), is between -3…

A: Solution-:Let, X- be the normal random variablewe want to find P(-3<X<1)=?  (By using rstudio)

Q: A bag contains 4 Blue balls, 7 Red balls, and 8 Green balls. Two balls are going to be drawn from…

A: the action described above will result in events that

Q: What is the probability that the second ball is red, given that the first ball is red?

A: There are two urns contains two different colors of ball. First urn contains 6 red balls and 3 blue…

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.