If a coin tossed four times, then what is the probability of getting either at least two heads or at most three heads?

Q: 1. Suppose that 31% of adults have at least one tattoo. If you sample 90 rand adults, what is the…

A: Z = p^-pp(1-p)n~N(0,1)

Q: 5 green marbles, 7 red marbles, and 1 yellow marble are placed into a bag. If one marble is randomly…

A:

Q: If you roll a fair six sided die nine times, what is the probability that at least two of the rolls…

A: The probability of getting three=16 The probability of not getting three=56 The probability that…

Q: 1) What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: There are 50 boxes labeled with number from 1to 50.in Each boxes containing one blue ball and one…

Q: 1. Suppose that 31% of adults have at least one tattoo. If you sample 90 random adults, what is the…

A: From the given information the probability that adult have tattoos is .31. Samples are taken random…

Q: Suppose a 5 card hand is drawn from a standard deck of cards. What is the probability that there are…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: if 14 jurors are randomly selected from a population where 44% are minorities, what is the…

A: Obtain the probability that 2 or fewer jurors will be minorities. The probability that 2 or fewer…

Q: 1) A committee must be formed consisting of 12 people. If there are 10 democrats, 15 republicans and…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

A:

Q: 2. One card is drawn from a standard pack of 52. What is the probability the it is either a Kina or…

A: no.of king cards=4no.of queen cards=4total no.of cards=52

Q: Suppose that 8 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: Total no. Of cards = 52 Total no.  Of cards to be chosen = 8 Total. No. Of favorable cards( i.e. no.…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: 4. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Given,No. of novels=5No. of books of poems=3No. of dictionary=1Total no. of books=9

Q: If five coins are​ flipped, what is the probability of obtaining at least one tail​?

A: Formula : Binomial distribution is given by

Q: 6-) If three balls are randomly drawn from a bow containing 6 white and 5 black balls, what is the…

A: Given three balls are randomly drawn from a bow containing 6 white and 5 black balls. To find the…

Q: Four cards are to be dealt successively at random and without replacement from an ordinary deck of…

A: Deck of card consists of 13 Spade cards. 13 diamond cards. 13 Club cards. 13 Heart cards.…

Q: A card is drawn from a standard deck of 52 cards. What is the probability that it is a king, given…

A: We know that the probability of event A is , P(A) = n(A)/n(S)  where, n(A) = number of observation…

Q: 9. From a pack of 52 playing cards, three cards are drawn one after the other without replacement.…

A: In a pack of 52 cards,no.of Ace cards=4no.of king cards=4n0.0f jack cards=4

Q: 1.) When three coins are flipped, what are the probability of getting * two tails and one head?___…

A: As per our guidelines we are suppose to answer only one question. if a coin is tossed 3 times than…

Q: If two cards are selected from a standard deck of 52 cards without replacement. What is the…

A:

Q: 9. You are tasked to draw two cards from a deck without replacement. What is the probability of…

A: About Deck  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: cards are chosen at random from a deck without replacement, what is the probability that at least…

A: We know that  There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: 1. If two balanced dice are rolled, what is the probability that the sum of the two numbers that…

A:

Q: From a pack of 52 playing cards, three cards are drawn one after the other without replacement. What…

A: Total number of cards = 52 Number of Ace cards = 4 Number of King cards = 4 Number of Jack cards = 4

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: 7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from…

A:

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls, If a single ball is…

A: Total number of balls =7+2+4+3 =16.If the ball is neither yellow nor blue, then it will be either…

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: A jury of 6 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given :Number of man = 8 Number of females = 8 Total number of members = 8+8=16 We want to choose…

Q: If a fair coin is tossed 8 times, what is the probability of tossing a head on the 8th toss, given…

A:

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Q: a. If a coin is tossed two times then what is the probability of two Heads? b. If a coin is tossed…

A: The probability of an event is defined as the chances of the occurrence, mathematically, of an…

Q: What is the probability that a card drawn from a standard deck has an odd number on it oris red?

A: A card drawn from a standard deck. Standard deck of cards has total 52 cards of four different suits…

Q: Suppose that 5 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that…

A: Given: We have standard 52 cards deck which contains 13 cards of each hearts, clubs, diamonds and…

Q: If two gloves are selected at random from the box, with replacement, what is the probability that a…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n number ofsampling…

Q: Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: 8. A jar contains 7 red marbles, 7 yellow marbles, 4 green marbles, and 3 blue marbles. a) If…

A:

Q: A box contains 2 white and 3 blue identical balls. If two balls are picked at random one after the…

A: A box contains 2 white and 3 blue identical balls Total = 5 If the balls are drawn without…

Q: contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles…

A:

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person owns dog. Given that p = 0.38

Q: A committee of size 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: There are totally 15 people in which 6 are men and 9 are women. The number of ways selecting…

Q: 9. Suppose you draw two tennis balls from a bag containing 3 white balls, 9 green balls, 2 yellow…

A: There are total 21 balls are present.

Q: 2. A jar contains 12 marbles: 4 red, 5 blue, and 3 orange. If you pull 3 marbles without…

A: The total number of marbles is 12 Red marbles=4 Blue marbles=5 Orange marbles=3 There 3 marbles are…

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…

Q: 15. Suppose a fast-food restaurant can expect 6 customers every 9 minutes, on average. a) What is…

A:

Q: 1) What is the probability that one card selected from a deck of 52 is a club or a number card or…

A:

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.