If you roll a fair 8-sided die 7 times, what is the probability that none of the rolls are 1's or 2's?

Q: Suppose that a balanced die is tossed once. What is the probability that die lands on 1, given that…

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Q: If out of 1000 houses only 1 house cathches fire in a year. What is the probability that out of 500…

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Q: On average, 1 out of every 10 radiation caps leaks right out of the box. What is the probability…

A: Given Information:  Probability of a leaked radiation cap = 1/10 = 0.1  Number of newly manufactured…

Q: A six sided die rolled 12 times. What is the probability of getting a 4 five times.

A: We have given that,  X be the random variable from binomial distribution with trail n = 12 and…

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 die is rolled 3 times. What is the probability of showing a(n) 5 on every roll?

A: We have given that a die is rolled 3 times. We have to find the probability of showing 5 on every…

Q: If you roll a fair 8-sided die 7 times, what is the probability that none of the rolls are 3's or…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that five good fuses and two defectives have been mixed up. To find the defective fuses we…

A: Given: Good fuses are 5 Defective are 2. Total becomes 7 fuses.

Q: A traffic officer knows that there are 6 road accidents per day on average on the avenue he watches.…

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Q: A fair 6 sided die is rolled 5 times. What is the probability that the die will show either a one or…

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Q: Two cards are drawn in succession from a deck without replacement. What is the probability that both…

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Q: 5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the…

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Q: 3. Suppose a baseball player gets a hit with the probability every time he steps to the plate. What…

A: Answer - Suppose a baseball player gets a hit with the probability                 P(hit)  = 1/2,…

Q: Two fair dice are rolled and the sum of their up-faces are noted. What is the probability that the…

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Q: The probability that a patient recovers from a rare blood disease is 0.4 If 15 randomly chosen…

A: Given: Probability that patient recovers, p=0.4sample size, n=15

Q: If you roll a fair 7-sided die 6 times, what is the probability hat a 6 is rolled at least twice?

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Q: A fair die is rolled. What is the probability of getting a number that is less than 4 and even?

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Q: You roll a fair eight sided die ten times. What is the probability that you roll a 1 exactly two…

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Q: | Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single…

A: here you have posted many questions as all are different , I have calculated first main question…

Q: A fair coin is flipped six times. What is the probability that heads occurs exactly 5 times if it is…

A: Here, fair coin is flipped. hence, p=0.5 and q=0.5.The probability that heads occurs exactly 5 times…

Q: A box contains 8 red balls and 7 black balls. If 2 balls are drawn in a row without returning, what…

A: Probability: It is a method for knowing the possible chances of an incident occurring. For example,…

Q: Suppose that you and two friends go to a​ restaurant, which last month filled approximately 78 % of…

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Q: If rain falls randomly with a 20% chance of rain on any given day, what is the probability that we…

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Q: A hospital switch board receives an average of 5 emergency calls in 10 minutes interval. What is…

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Q: let's say a student receives an average 7 text messages in a 2 hour period then -What is the…

A: Given,* Student recives an average 7 text messages is 2 per hour.⇒So, Avg λ = 7 messages/2hour*…

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: A special coin has the probability of 0.65 of landing on heads. What is the probability that it will…

A: Givenspecial coin has the probability of landing on heads(p)=0.65n=7Let "x" be the coin land on…

Q: if your roll a fair 9-sided die 9 times, what is the probability that a 6 is rolled at least twice?

A: Given: Number of side of the die is, n(s)=9. Number of times rolled is, n(r)=9. The objective is…

Q: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 72% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: A family has at least 1 girl who was born in the AM hours of the day (i.e., sometime between…

A: Given : A family has at least 1 girl who was born in the AM hours of the day The chances of born in…

Q: If you roll a fair 6 sided die 9 times, what is the probability at least two of the rolls come up as…

A: Given: A fair dice is rolled 9 times. P(Getting a three)=16 P(Not getting a three)=56 P(exactly one…

Q: if you roll a fair 9 sided die 6 times, what is the probability that none of the rolls are 1's or…

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Q: A farmer has planted 11 new lemon trees of a special breed where the probability that the tree will…

A: From the provided information, Sample size (n) = 11 The probability that the tree will give fruits…

Q: In a certain country, there is a bank failure once every 2 years, on average. What is the…

A: The number of failures is once every 2 years. Probability of failure per year is p=12. The number of…

Q: A six-sided die is rolled twelve times. What is the probability that the die will show an even…

A: Let p be the probability of getting an even number. Then p = 3/6 = 0.5 Let X denote the number of…

Q: if the probabilily is 0.40 that a child exposed to a certain contagious disease will catch it, what…

A: Obtain the probability that the tenth child exposed to the disease will be third to catch it.   The…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: You roll a fair six sided die 10 times. What is the probability that you rol a 1 exactly two times…

A: This is a problem of counting and it involves concept of probability.

Q: A farmer has planted 12 new lemon trees of a special breed where the probability that the tree will…

A: It is given that, A farmer has planted 12 new lemon trees i.e. n=12 the probability that the tree…

Q: What is the probability that it takes 11 rolls to get your first “5” when rolling a fair 6-sided die

A: Given information: It takes 11 rolls to get your first “5” when rolling a fair 6-sided die.…

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: Given,n=50p=0.10q=1-0.10=0.9A random variable X~Binomial(n=50  ,  p=0.10)P(X=x)=Cx50 0.1x0.950-x…

Q: In a large population, 65 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given, Probability that the people have been vaccinated (p)=0.65 Sample size (n)=4 Lex x be the…

Q: Suppose a 5-sided fair die numbered from 1-5. Roll it twice assuming each roll is independent of…

A: Given that the sum=8 So the possible outcomes are= (3, 5), (5, 3) , (4, 4). So 3 outcomes give sum=8…

Q: A die is tossed only once. What is the probability that either a number less than 5 or an even…

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Q: A pathogen affects 1 person out of every 100 people. Suppose you come into contact with 40 randomly…

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Q: Joe tosses a fair three-sided die 4 times.  What is the probability he rolls all threes? If…

A: given data roll a fair three sided die 4 times 3 sided die : ∴P(1)=P(2)=P(3)

Q: A die is rolled twice. What is the probability of showing an odd number on the first roll and a…

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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.