4. In rolling a die repeatedly, what is the probabilıty that 1 appears for the first time on the 4th roll?

Q: 6. The average ho Assume the wa If a worker at th probability that

A:

Q: Pressurized air are being used in a manufacturing company in its daily operation. There are three…

A: Given that pressurized air is being used in a manufacturing company in its daily operation. There…

Q: 5. John has a special die with faces 1-1-1-3-3-5. When the die is rolled 300 times, what is the…

A: Define the Random Variables, Xi : The number got at i th roll The dice has six sides as, 1-1-1-3-3-5…

Q: a. P(A) = b. P (B) = c. P(C) =

A: Classical definition of probabilityPermutationNumber of ways in which n distinct object can be…

Q: What is the probability that sum of the numbers of dots of a die appearing on them  are 3 or 11, if…

A: Answer: The probability that sum of the numbers of dots of a die appearing on them are 3 or 11 is…

Q: A gambler suspects that the die is loaded. He rolls die 100 times and observed X Obs Is there…

A: It is needed to test the whether the die is loaded.

Q: sum of first n natural nambers is 5 then n iG

A: We will solve the problem

Q: In how many ways can be the 'AEE315' so that vowels always come togather?

A: The word 'AEE315' contains 6 different characters. When the vowels EE are always together, they can…

Q: Calculate the posilitoies associated with rolling 2 dice pr rolling either a 6 on the red die or a 6…

A: The objective of this question is to calculate the probability of rolling a 6 on either a red die or…

Q: 3. a) On a certain night soon after sunset in March, the probability that an observer sees a meteor…

A: Given: Probability of seeing a meteor is, P(A)=63600. Objective: To find the probability of…

Q: 15. One octahedral die (die with 8 faces) with faces marked I through 8 are constructed to be out of…

A: Probability of an event: The probability of an event is the number of favourable cases for an event…

Q: The answer for this problem is an integer.Put the number in the box.Don't put any decimal…

A:

Q: 2. A 5-sided die with sides numbered 1,2,3,4, and 5 is constructed so that the 1 and 5 occur twice…

A:

Q: In(n) -n=2 n

A: we have, ∑n=2∞ ln(n)n

Q: What is the probability of randomly picking a number from 1 to 10 that is even or randomly picking a…

A: The even numbers are=2, 4, 6, 8, 10. There are 5 even numbers. n(even)=5 The odd numbers are= 1, 3,…

Q: please send solution for part c and d only handwritten solution accepted

A: Probability is defined as the total number of favorable cases of an event divided by the total…

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

A:

Q: points, we get a triangle. Find the probability that there is at least one triangle with area less…

A:

Q: 1. The die has 8 equal faces marked with the numbers 1 to 8. If the die is thrown once, what is the…

A: Given that the die has 8 faces then probability of getting each number 1 to 8 is 1/8

Q: 9. What is the probability (to nearest 0.0001) of finding exactly four Red M&Ms in any one bag?

A: 9).Answer: Given that: p=P(Red M&Ms)=0.14 , n= 30 now will use Binomial probability…

Q: If two events are mutually exclusive, the probability that both occur at the 1 pol same time is O 50…

A:

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: Here use tree diagram for Answer the question W1= white from x W2 = white from y R2 = red from y R1…

Q: 5. Prove or disprove: If we roll 2d6 then the event that the first die is even is independent from…

A: To prove or disprove the statement, we need to show that the probability of the sum being 11 is the…

Q: 5. If we draw at random with replacement from the numbers 1,2,3,4,5 and add up the numbers we draw,…

A: 5) Given information: Population = (1, 2, 3, 4, 5) Population size = 5 Let the number of times…

Q: Suppose that an urn contains (8 red balls and 4 white) balls. We draw 2 balls fre the urn without…

A: It is given that Red balls = 8White balls = 4Total balls = 12

Q: 5. The probability of obtaining the number 6 exactly three times in ten rolls is a = 3 Hence, the…

A:

Q: 24. An urn contains b blue balls and r red balls. They are removed at random and not replaced. Show…

A: Given:-                The probability that the first red ball is drawn at (k +1)th the ball drawn =…

Q: 3. Let X be the outcome of rolling a fair six-sided die. Then P(2sX <5)= a. 1/6 b. 1/3 1/2 d. 2/3…

A: Given data,fair six-sided dieP2≤x≤5=1favorable outcomes=2,3,4,5…

Q: 4. Consider 3 events A, B and C with Pr(A) = = a, Pr(B) = 3a, Pr(C) = 5a, and Pr(An B) = Pr(ANC) =…

A: Probability is the chance that an unsure event will occur with this probability. Basically, the…

Q: A die is constructed so that a 1 or a 2 occurs twice as a 3, 4 or a 6 and a 5 occurs thrice as a 1…

A: Let x be the probability of getting face 3,4 or 6. 2x be the probability of getting 1 or 2. 6x be…

Q: There are 11 identical bags. In cach bag, there are 11 balls, numbered from I to 11 inclusive. We…

A: Given data There are 11 identical bags. in each bag there are 11 balls numbered from 1 to 11

Q: 8) Prove by contradiction that, if one rolls a die for 25 times, at least 5 of them must show the…

A: To prove the statement by contradiction:Let's assume the opposite: that it's possible to roll a…

Q: We want to know if the average time to give birth for a first time mom is different than for a woman…

A: Here we have to check whether given statement is true or false. Regarding the given hypothesis.

Q: Solve Ex ample 5, if the tags are chosen at random with replacement. If the tag with '1' is chosen…

A:

Q: 3. My friend Ben brought me another of his "lucky dice". This time, he had a 20-sid die (sides…

A:

Q: 3/1000 of the parts produced on a machine are faulty. From 600 pieces randomly selected from…

A:

Q: 15. If n particles are emitted, the probability that at least one particle will penetrate the shield…

A: Given data P(X≥1) = 1 – 0.99n In order for this value to be at least 0.8 P(X≥1) = 1 – 0.99n  = 0.8…

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.