Consider an experiment of rolli: ollowing two events are indepe • Probability that the sum • Probability that the first c

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

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Q: A manufacturing process for computer chips is such that 5 out of 100 chips are defective. If 10…

A: As given that there are 5 chips are defective from 100 chips. So, number of chips that are in good…

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: A 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. Find the…

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Q: A college claims that 70% of students receive financial aid. Suppose that 4 students at the college…

A: Let X denote the number of students receive financial aid and it follows binomial distribution with…

Q: Two cards are drawn at random from a standard deck of cards. Find the probability that either both…

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Q: An unfair coin has probability 0.3 of landing heads. The coin is tossed six times. What is the…

A: The probability of landing heads, p is 0.3.The probability of landing tails, q = 1 – p = 1 – 0.3 =…

Q: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards.…

A: Introduction:A standard deck of 52 cards has 26 black cards (13 spades and 13 clubs), and 26 red…

Q: A coin is tossed n times. a) What is the probability that exactly k heads occur? b) What is the…

A: Given Data : A coin is tossed n times. To Find : a) Probability that exactly k heads occur…

Q: What is the probability of the following. (a) An event A that is certain to occur?

A: Probability of an event is the chance of occurrence of that event. For an event A the probability is…

Q: You want to determine the probability that when five consumers are randomly selected, exactly two of…

A: The question is about binomial prob. distribution Given : No. of randomly selected customers ( n ) =…

Q: A factory produces components of which 5% are defective. Components are packed in boxes of 10. A box…

A: Given,n=10p=0.05X=no.of defective components.X~Binomial(n=10 , p=0.05)P(X=x)=cxn px(1-p)n-x    ;…

Q: ch that 34% of the girls have a blood type O an elected from this group, find the probability

A: E1: Girls   P(E1) = 0.75 E2: Boys   P(E2) = 0.25 A: Blood type o P(A|E1) = 0.34 P(A|E2) = 0.11

Q: A single card is drawn from an ordinary deck of 52 cards. Find the probability P that the card is a…

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Q: A pair of fair dice is rolled. (a) What is the probability that the second die lands on a higher…

A: When rolling two dice, there are 36 different possibilities. of these possibilities, there are 15…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: General formula of probability Probability = Number of favorable outcomes Total outcomes…

Q: In a game of chance, two dice are thrown and a player can win if the sum of the dice is between 4…

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Q: A due is loaded is such a way that an even number is twice as likely to occur as an odd number. if…

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Q: An experiment consists of randomly selecting 3 coins, tossing it, and observing the outcome heads or…

A: Let the event of tossing first coin, second coin and third coin be A, B and C respectively. PHA=1.0…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: 1. A survey found that one out of four Filipino says he or she has visited a dentist in any given…

A: Binomial Distribution:             It is to obtain the probability of the X successes in N trials,…

Q: A card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this…

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Q: Sixteen percent of U.S. residents are in their thirties. Consider a group of seven U.S. residents…

A: Given datan=7p=0.16Binomial theoremProbability of x success out of n trial is given by

Q: 4- Customers arrive at Speedy Oil Change at the rate of 9 per hour. What is the probability that…

A: Given, Customers arrive at speedy oil change at the rate of 9 per hour. Poisson distribution:…

Q: Find the indicated probability. 12. In a blood testing procedure, blood samples from 5 people are…

A: ( 12 ) Given n =5, p =0.03 p(positive ) =?

Q: 3. A dice is rolled 3 times, compute the probability of getting AT LEAST ONE 5?

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Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…

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Q: A spinner is split up into 4 colored areas of the same size: red, blue, green, and yellow. The…

A: Here it is given that A spinner is split up into 4 colored areas of the same size red, blue, green,…

Q: A group of five people are selected at random (Assume that a person is equally likely to be born on…

A: Given,Number of selected people = 5The person selected in equally likely to be born on any day of…

Q: The Lemon brand cars have a transmission which fails with probability .6, and brakes which fail with…

A: Given info: The Lemon brand cars have a transmission which fails with probability 0.6, and brakes…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

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Q: At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are…

A: Total number of balloons=25 Number of yellow balloons=n(Y)=10 Number of red balloons=n(R)=8 Number…

Q: Five cards are drawn without replacement from a deck of cards containing four spades and five clubs.…

A: Given: The total number of spades are 4. The total number of clubs are 5. The total number of cards…

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: 2. In the Wheel of Fortune, there is a 1/9 = 11.1% probability of spinning "BANKRUPT" on any given…

A: The probability of spinning 'BANKRUPT' on any given spin is 0.111.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Define the events: A : Number on red die is 5B : Sum of numbers on both die is 9.

Q: A board game uses the deck of 20 carods shown to the right. Two cards are selected at 1 random from…

A: Given that, A board game uses the deck of 20 cards shown below.

Q: A roulette wheel has 38 slots in which the ball can land. Two of the slots are green, 18 are red,…

A: Probability of an event = Each spins are independent means the outcome of first spin does not…

Q: 3. Aplinko game is composed of a board and a disc. The player drops the hits a series of pegs that…

A: Let the Buckets are named as A, B, C , D and E A $100 B $0 C $0 D $0 E $50

Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards. Find…

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Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: The sum can be 7 for the outcomes (1,6) , (2,5) , (3,4) , (4,3) , (5,2) , (6,1). This means…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Conditional Probability Definition The probability of occurrence of any event A when another event B…

Q: Three friends are tossing separate dices one time. What is the probability of getting three l's?…

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Q: Two fair dice are rolled at once. Find the conditional probability that the sum is 6, given that the…

A: Concept of conditional probability:For any two events A and B with P(B) >0, the formula for…

Q: In rolling a die, the probability of getting odd number is an example of O independent events O…

A: We have given that,  When rolling a die then the sample space (s) is,  s = {1, 2, 3, 4, 5, 6 } = 6…

Q: Find the probability of each event when a single card is drawn from an ordinary deck. Are…

A: Total number of cards in an ordinary deck=52 We have to find the probability when a single card is…

Q: Suppose a die is rolled twice and let A = {first toss is a prime}    C = {second toss is a 6} Find…

A: Given that Dice rolled twice  total outcome=36

Q: A hospital has an urgent need for four units of type A+ blood. Assume that approximately 28% of the…

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Q: When treated with anabiotic 92% of all the Dolphins are cured of an ear infection. If six Dolphins…

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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.