A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability distribution. What is the probability of rolling less than 3?

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 6…

A: Possible outcomes when a pair of dice is thrown

Q: Experience has shown that one out of every four customers who place an order with an internet retail…

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Q: A box containing 9 blue and 7 white marbles. If two marbles are to be drawn at random with…

A: We have given that a box contain 9 blue and 7 white balls. Total balls are 16. The random variable X…

Q: A class contains 16 boys and 10 girls of which half of the boys and half of the girls are fat. Find…

A: Given,no.of boys=16no.of girls=10no.of fat girls=8no.of fat boys=5Total no.of students=26

Q: A coin tossed three times. Find the probability of getting Two heads and one tail show the working..

A: Given data: A coin tossed three times. To Find: The probability of getting Two heads and one tail.

Q: Find the probability that at most one household is tuned to September Road. P(at most one) =

A: Let the R.V X denotes the number of households are turned to September road and it follows the…

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

Q: Each of the two friends tosses an unbiased coin ten times. What is the probability that each one…

A: Let X be a random variable denotes the number of heads friend 1 receive.. X~Bin10,12 Calculate the…

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: 5 and 6 are eight times as likely to come up as other number.

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 4…

A: Possible outcomes when a pair of dice are thrown

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: The outcomes for a die are 1, 2, 3, 4, 5 and 6.From the given information, the number 5 and 6 are…

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of…

A: a)  P(3) = x P(4) = P(5) = P(6) = x P(1) = P(2) = 8x

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 5…

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Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given, Number of freshmen player, n(freshman)= 13Number of sophomores player, n(sophomores) =…

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A COIN IS TOSSED AND A DIE IS ROLLED.  FIND THE         PROBABILITY OF TOSSING A TAIL AND THEN…

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Q: Experience has shown that one out of every five customers who place an order with an internet…

A:

Q: A football player scores 2 goals out of every 3 penalty kicks. If we ask him to take 4 penalty…

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Q: A die is rolled 9 times. Find the probability of rolling no more than 3 fives. The probability of…

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Q: Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the…

A: When two dice is thrown simultaneously, there are 36 outcomes .

Q: Each of the two friends tosses an unbiased coin ten times. What 1s the probability that each one…

A: Given Each of the friends tosses an unbiased coin ten times. Let X be the number of getting heads,…

Q: From a standard deck of playing cards you are dealt 3 cards. If X is the number of diamonds that was…

A:

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: Given: A die in which 2,4,6 is likely to come twice as each of 1,3,5. The objective is to find the…

Q: Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a…

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Q: die is tossed twice. Find the probability of getting a 3 or 4 on the first toss and a 1 or 2 on the…

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Q: A pair of dice are tossed twice.Find the probability that the first roll is a total of at least 11…

A: The objective of this question is to find the probability of two independent events happening. The…

Q: A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of…

A: Answer:-  We are given, P(3)=x Since, the probability of the outcome being 4,5 or 6 is same as that…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

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.