Suppose you have two coins, one that has heads on both sides and another that is a fair coin. You pick one of the two coins uniformly at random and flip it. You repeat this process 400 times, each time picking one of the two coins uniformly at random and then flipping it, for a total of 400 flips. What is the probability of getting exactly 220 heads?

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

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Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

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Q: You wish to play three-number lottery with your favorite data 8,2, and 5. After a numbers drawn, the…

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Q: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has  12   yellow roses and   13   red roses left after a busy day, Total =…

Q: Suppose you plan to take 3 courses next term. If you select them randomly from the listing of 12…

A: We have to find given probability.

Q: Find the probability that a randomly selected voter voted for Bob Jones.

A: For a recent local election, 55% of the voters were Democrats. Of the Democrats, 80% voted for John…

Q: Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen's…

A: The refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day.

Q: A gumball machine at the local pizza place is filled with plastic toys. The machine has 30 rings, 40…

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Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

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Q: A game show contestant must randomly select a door.One door doubles her money while the other three…

A: The number of doors doubles her money is 1.

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

A:

Q: A meteorologist says that the probability that it will rain on Saturday is 30%, the probability that…

A: let event E: it will rain on Saturday and event F: it will rain on Sunday event E∩F: it will rain on…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

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Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: Leroy has one quarter, one dime, one nickel, and one penny. Two of the coins are in his left pocket…

A: Probability:The formula for probability of an event is given as follows:

Q: Helen and Patty both belong to a club of 23 members. A committee of 4 is to be selected at random…

A: Helen and patty both belong to a club of 23 members

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Here we have to find probability that Emily gets a sum of 8 or at least one of the dice shows a 3…

Q: The probability Kayla will score above 80% on a mathematics test is 0.60. Kayla will take five tests…

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Q: The average number of times per week that John's 3 dogs wake him up at night because the dogs want…

A: GIVEN DATA,The average number of times per week that John's 3 dogs wake him up at night because the…

Q: In a blood testing procedure, blood samples from 4 people are combined into one mixture. The mixture…

A: Obtain the probability that mixture will test positive.   The probability that that mixture will…

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: Ali has taken two books with him for holiday. The probability of liking the first book is 0.5, the…

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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.