An experiment consists of tossing 4 fair​ (not weighted)​ coins, except one of the 4 coins has a head on both sides. Compute the probability of obtaining exactly 3 heads.

Q: Defects occur at random in planks of wood with an average of 0.5 per 10 cm length. Office building…

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Q: what is the probability of obtaining 8 heads in a row when flipping a fair coin? interpret this…

A: A fair coin is one which is equally likely to land on head  or on tail. So, we infer P(H) =…

Q: A fair die is rolled 12 times. What is the probability of rolling a 4 on the die 4 times?

A: A binomial probability distribution has following properties. There are only 2 possible outcomes of…

Q: A coin is tossed 3 times. What is t

A: From the given information, A coin is tossed 3 times. Total outcomes is 2^3=8 (HHH, TTT, THH, HTH,…

Q: A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

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Q: What is the probability of getting at least two heads when three coins are tossed

A: Given that, Three coins are tossed.

Q: Two coins were toss. What is the probability of getting more than one tail?

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Q: The probability of a product which is defective is 0.48. Out of 10 products, what is the probability…

A: We have to find given probability.

Q: What is the probability of obtaining two heads in a row when flipping a​ coin? Interpret this…

A: Introduction The probability shows how likely an event will occur.

Q: Suppose that 60% of all consumers favour internet shopping. If 5 consumers are randomly sampled and…

A: We have given that,  X be the random variable from binomial distribution with probability of success…

Q: A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A: The number of trials x required to get total r number of successful trial is the negative binomial…

Q: In the experiment of rolling two dice, what is the probability that the sum is not less than 8?

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Q: Eight coins are tossed simultaneously. Find the probability of getting atleast six heads.

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Q: Suppose you flip a fair coin 10 times. What is the probability of getting at least 8 heads? How does…

A: Answer:- Given, A fair coin flip 20 times.  Then , probability of getting a head , P(H) =…

Q: When spinning a spinner, there is an equal chance of landing on orange, green, yellow, red, and…

A: when spinning a spinner, there is an equal chance of landing on orange,green,yellow,red and…

Q: gine an experiment where a coin is flipped 3 times. Assuming that the coin is fair, what is the…

A: given data, coin is fliiped 3 times. sample space:{HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}total…

Q: In tossing two coins at a time, what is the probability of having 2 heads in a single throw?

A: When we toss two coins at a time then possible outcomes are {HH,TT,HT,TH} Number of possible…

Q: A farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

Q: A company gets 5 letters of complaint (in average) per day. What is the probability of having 4…

A: Given :-   A company gets 5 letters of complaint (in average) per day , so λ=5  probability of…

Q: During the year about 15 percent of the population carry the flu virus. Supposed that 5 children…

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Q: they roll two normal fair dice and multiply the numbers to get their score. what is the probability…

A: It is an important part of statistics . It is widely used .

Q: in the world series two teams play until one team has won four games. Suppose Atlanta is playing…

A: given data  P(toronta win) = p = 3/8 to win series have to win four game   P(toronto win series on…

Q: The proportion of male and female students in a class is found to be 1:2. What is the probability…

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Q: At a class, 80% are female and 30% of the students like to swim. Of the students that like to swim,…

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Q: What is the probability of getting exactly one head when a fair coin is tossed for 3  times?

A: GivenA coin is tossed 3 timesn=3p=12=0.5        ( head occurs once in 2 chances i.e., head or…

Q: Two neoprene gaskets are selected from a big lot. The probability of obtaining 1 nonconforming unit…

A: Given, Let X be no of nonconforming units P(X = 1) = 0.35 P(X =2) = 0.15

Q: What is the probability of rolling six dice and getting at least one matched pair?

A: From the provided information, The total outcomes rolling 6 dice = 66 The possible outcome of no…

Q: What is the probability of drawing two red cards from a standard deck of 52 playing cards?

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Q: An experiment consists of tossing a fair coin 3 times. Find the probability of getting at least two…

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Q: Jacks were drawn 2 out of 4 times. Calculate the experimental probability.

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Q: they roll two normal fair dice and multiply the numbers to get their score, what is the probability…

A: When two dice are rolled the sample space is S=   n(S)=36 Let E be event that multiple is 12 P(E)=?

Q: A two sided coin is flipped five times resulting in 4 heads. Determine the experimental probability…

A: A  two sided coin is flipped five times resulting in 4 heads

Q: At a large university, 35 % of the students own a tablet. If 7 students are randomly selected, what…

A: From the provided information, 35 % of the students own a tablet that is p = 0.35 Sample size (n) =…

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.