QI\ A/ An instructor gives her class a set of 14 problems with the information that the final exam will consist of a random selection of 7 of them. If a student has figured out how to do 9 of the problems, what is the probability that he or she will answer coIrectly: (a) all 7 problems? (b) at least 6 of the problems? (C) at least 5 of the problems? QI\ B/ A coin is flipped twice. Assuming that all four points in the sample space are equally likely, what is the conditional probability that both flips land on heads, Find the following: (a) the first flip lands on heads? (b) at least one flip lands on heads?

Q: In a group, there are 16 female and 20 male in the first row, there are 10 female and 6 male in the…

A: Given the data;   Male Female Total Row 1 20 16 36 Row 2 6 10 16 Row 3 14 24 38 Total 40…

Q: Trisha has 2 boxes of marbles. She selects a marble from each box 100 times, replacing the marble…

A: Given, 2 boxes of marbles To find the probability of selecting red marble from the first box and…

Q: In a hurdle race, a player has to cross 6 hurdles. The probability that he will clear each  hurdle…

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Q: A person has an 80% probability of making a free throw in basketball and each free-throw is…

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Q: At the county fair, there’s a game where the chicken walks around on a 4x4 grid. The chicken will…

A: Given information: Total number of squares in 4*4 grid = 16  Each of the grid squares have equal…

Q: Example 28 : Find the probability that at most 5 defective components will be found in a lot of 200.…

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Q: what is the probability the he or she will answer correctly (a) at least 6 problems?

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Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: A jar contains 15 red marbles and 75 blue marbles. If you randomly pick a marble from this jar, the…

A: Introduction: Total number of marbles in the jar is, n = 90 [= 15 red + 75 blue].

Q: A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40%…

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Q: smoke detector system uses two devices, A and B. Suppose the probability that it will be detected by…

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Q: A military commander wants to destroy an enemy underground bunker. Each plane he sends out has a…

A: Solution :  P = probability of scoring a direct hit on bunker = 0.8 n = no. of assaults commander…

Q: Example 2: Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen…

A: Given , pack contains 4 blue, 2 red and 3 black pens.

Q: You are creating a 4-digit pin code. What is the probability that No Digit is repeated and they are…

A: Given :  here we have given condition such that no digit is repeated and they are in increasing…

Q: You roll a 6 sided dice. The dice is not fair, because the probability of rolling a one is 0.249. If…

A: Given that  You roll a 6 sided dice  Rolling die for 6 times (n) = 6 Probability of rolling a one…

Q: A vaccine can cause two possible side effects: fatigue and insomnia. 32% of the people who received…

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Q: An experiment consists of randomly selecting colored marbles from a jar. The jar contains 2 red…

A: An experiment consists of randomly selecting colored marbles from a jar. The jar contains 2 red…

Q: A hotel has 5 elevators. One of them is a freight elevator. When pressing the button, one of the…

A: We have to find given probability.

Q: The local library releases the top 6 best written books of the year and you decide to read all of…

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Q: he incidence of disease in a forest is suc that 20% of the trees in the forest have the chance of…

A: Given, the incidence of disease in a forest is such that 20% of the trees in the forest have the…

Q: the probability of winning a certain game is 0.20 what is the probability that a person will win the…

A: # Given the probability of winning a certain game is ,p(win) =0.20 then to find  probability that a…

Q: In a shooting arena there are 16 guns of type A and 3 guns type B. Probability of hitting a shot…

A: Let us denote H=the event of hitting There are total (16+3)=19 guns.So, P(A)=1619, P(B)=319Given…

Q: Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent…

A: Solution: Let A be the event that the students wear a ring. P(A)= 0.2 B be the event that the…

Q: A football player is trying to achieve a goal from a series of penalty kicks. If his scoring…

A: let  p be the probability that he score a goal q be the probability that he not score a goal p=0.8,…

Q: Elif and Zeynep play chess 12 times. 6 of them are won by Elif, 4 by Zeynep, and 2 of them end in a…

A: P(ZEYNEP WILL WIN AT LEAST ONE GAME) = [P((ZEYNEP)*(ZEYNEP')*(ZEYNEP)')]^3 =[(1/3)(1/2)(1/2)]^3 =…

Q: 7. A student prepares for an exam by studying a list of ten problems. She can solve six of them. For…

A: Binomial distribution is given by

Q: Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests positive…

A: Let us define some events A : Jack uses drug. B : Jack does not use drug. E : Jack tests positive.…

Q: Say that a game consists of two steps. First, you roll a die. If you roll a 1 or a 6, you continue;…

A: Given that  1 or 6 win a game

Q: Example: 8AFind the probability of selecting 4 marbles from a bag of 3 red marbles and 7 blue…

A: Given 3 red marbles 7 blue marbles

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

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: virologist vaccinates a few mice one at a time with a virus until he finds 3 that have contracted…

A: Given : p = 2/6 = 0.3333 k = 3 n = 6

Q: Robin tosses a pair of 6-sided dice. The odds in favor of the sum of the 2 dice rolls being greater…

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Q: A bag contains 2 red and 4 white tokens. Tokens are randomly selected and removed one at a time…

A: A bag contains 2 red and 4 white tokens. That is, the bag contains 2+4=6 tokens. Tokens are randomly…

Q: The probability of win a certain game is 0.3. What is the probability of win at least 4 times in 5…

A: The probability of wining a game is p=0.3. The number of games played are n=5. Let X be the random…

Q: What is the probability that the student does exactly one of these activities?

A: Define some events A : A student borrows book. B : A student studies for an exam. Given that P(A) =…

Q: At the close of the stock markets on a day in 2017, there were 6100 companies listed with certain…

A: Given; Exchange Percentage of companies listed Probability of Stock Advancing Probability of…

Q: In a game, if after tossing a coin the outcome is head, you have to toss it again. If the outcome is…

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Q: Two six sided dice are rolled and the numbers are observed. What is the probability that the two…

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Q: coin is flipped 8 times  repeatedly, and number of tails is considered as the success. detrmine the…

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Q: Archer has a 25% chance of hitting the bull's eye on a target. What is the probability that the…

A: In this question we will use basic of calculus i.e probability by binomial probability distribution.…

Q: 13. uppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: There are 8+22 = 30 marbles all total. Now, 2 marbles can be selected from these 30 marbles in 302…

Q: Nandini's phone battery dies as she is driving to her hometown. She knows that there are two 4− way…

A: Nandini's phone battery dies while driving to her home. There are two 4-way junction before reaching…

Q: A student prepares for an exam by studying a list of 10 problems. She can solve 7 of them.  For the…

A: Given: Number of problems = 10 Number of problems solvable = 7 Number of problems selected = 6

Q: At the close of the stock markets on a day in 2017, there were 6100 companies listed with certain…

A: P(F) = 0.4948 P(E|F)=0.6009 P(F')=0.5052 P(E|F')=0.7237

Q: An instructor gives her class a set of 10 problems with the information that the final exam will…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A smoke detector system uses two devices A and B. If smoke is present, the probability that it will…

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Q: What is the probability that a person throws a Yahtzee on the very first roll? b. What is the…

A: Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various…

Q: A game has a probability of winning of 0.6. A boy will play this game until he finally loses. What…

A: Geometric distribution: The probability mass function of geometric distribution is, Given,…