Find the mean and variance of f(x)=÷ x =1,3,5,7 and 0 otherwise. 4 What can you say about the values of the means in #s 4 and 5? I What mathematical relationship do you see between the values of the variances in #s4 and 5?

Q: urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…

Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…

A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…

Q: A bag contains 3 red marbles, three green ones, 1 lavender one, two yellows, and 4 orange marbles.…

A: We have to find number of possible sets of three marbles using given data Formula required:  Number…

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that  Committee consists of  4 Men and 5 Women  Then we have to choose 3 members to be…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: ains 5 red,4 white and 3 blue balls .3 balls are drawn at random. find out the number of ways of…

A: The box contains 5 red , 4 white and 3 blue balls.  It is given that 3 balls are drawn at random…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: In a box, there are 5 large yellow marbles, 3 small yellow marbles, and 24 white marbles. How many…

A: Introduction -  Probability = Favorable outcomes total number of outcomes

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all…

A:

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: A standard deck of cards has 52 cards with 13 cards (Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King, (Ace))…

A: Straight flush : Straight flush consists five cards in consecutive order and each card in the same…

Q: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

A: According to the provided information, a bag contains 4 each of red, blue, green, and yellow balls.…

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

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: For the purposes of this problem, suppose that the Bingo master chooses numbers with replacement. a.…

A: BINGO4273255731525415875826059707223354621317434867

Q: What is the smallest multiple left out of this cluster of 12, 18,9,3 and 15

A:

Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…

A: The bag contains =6 marbles number of marbles drawn=4

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: A strap is made up of 20 beads (4 yellow, 6 time, 3 red and 7 green. Calculate for all possible…

A: Given that there are 4 yellow beads  6 time beads 3 red beads  7 green beads We have to make a strap…

Q: four largest 4-combinations o

A: Given: The set {1, 2, 3, 4, 5, 6, 7, 8} after {1, 2, 3, 5}. To find: The next four largest…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

A:

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: From a box containing 4 black balls and 5 white balls, two balls are drawn one at a time. Find the…

A:

Q: What is the probability that there will be at least 2 N's and exactly 4 B's in the first 12 numbers?…

A: BINGO4273255731525415875826O59707223354621317434867

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: How many 6-member committees with at least 4 men, can be selected at random from a group of 6 men…

A:

Q: a. The Bingo master starts a new round. What is the probability that the first 3 numbers will be…

A: BINGO4273255731525415875826059707223354621317434867

Q: a bag contains 12 block, 5 are red, 4 are blue and the rest are green.  If 7 blocks are selecte…

A: There are 12 blocks in a bag.Out of which 5 are red, 4 are blue and the rest 3 are green.7 blocks…

Q: A committee of 5 people will be selected at random from a group of 12 men and 15 women. How many…

A: we have to find no. Of ways..

Q: A box contains 8 red, 6 white and 11 green balls all the same size without replacement drawn 5 balls…

A: Formula : Hypergeometric distribution is given by

Q: Most software allows the questions on an exam to be re-ordred (or shuffled) for each student.…

A: Given: Population of questions available = 100 Number of questions chosen = 10

Q: A box contains 4 black, 2 red and 3 white marbles. In which of the following ways is it correct to…

A: Given: A box contains 4 black, 2 red, and 3 white marbles, and 4 balls are selected from this box. 4…