2) Suppose you throw a fair dice 3 times. Let the random variable X indicates the even number. Calculate the probability of getting at least one even number. [5]

Q: At one private college, 34% of students are business majors. Suppose that 260 students are randomly…

A: The probability that the proportion of business students in the sample differs from the population…

Q: After rolling a 6 sided dice 40 times, what is the probability of obtaining an average that is less…

A: Define the Random Variables, Xi : Outcome in the ith die i = 1,2,3,....,40 PMF of Xi , P(Xi=xi) =…

Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: We can get sum 8 for the outcomes=(2,6), (3,5), (4,4) , (5,3) , (6,2)So 5 outcomes give sum of…

Q: 2) Compute the probability of event E if the odds in favor of E are 11 to 9.

A: We will find out the required value.

Q: 1. Suppose that 31% of adults have at least one tattoo. If you sample 90 random adults, what is the…

A: From the given information the probability that adult have tattoos is .31. Samples are taken random…

Q: A university claims that 70% of its athletes earn a degree.  Suppose that the records of 100…

A: 70% of the athletes earn a degree. 100 athletes are chosen at random. Define the Random Variable, X…

Q: other, find the probability that the sum of the dots is 4.

A: here given,  two dice are rolled so total outcomes = 6*6 = 36 n(S) = 36

Q: Among the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is…

A:

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: As per given by the question, when two fair dice (one red and one green) are rolled then Find the…

Q: What is the probability that a randomly selected student sings in the shower 1-2 times a week given…

A: The table given below ,    0 times a week 1-2 times a week Total Country 7 16 23 Rock 9 11 20…

Q: What is the probability of selecting a red marble, returning it to the bag, and then selecting a…

A: As per our guidelines we can answer only 3 subpart questions. Please repost the question again.

Q: A poll is given, showing 20% are in favor of a new building project. If 8 people are chosen at…

A:

Q: A fair 10-sided die is tossed. What is the probability that any number except 3 or 8 is tossed?

A: Given that  A fair 10 sided die is tossed  Total possible outcomes=10 Sample…

Q: what is the probability that at least one of the pair of fair dice lands on 5, given that the sum of…

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…

Q: One fair dice and one fair coin are thrown together, Find: 1- All outcomes in the sample space. 2-…

A: 1. The sample space for rolling a die is shown below: {1, 2, 3, 4, 5, 6} If we toss a fair coin,…

Q: What is the process for solving the following question?   Suppose 57% of the students at UNCG are…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: 3) In one town, 51% of adults are employed in the tourism industry. What is the probability that…

A: Given that,Probability, p = 51%Sample size, n = 5

Q: During the last student elections at a certain college, 45% of the students voted for the democratic…

A:

Q: A poll is given, showing 35% are in favor of a new building project. If 8 people are chosen at…

A:

Q: 3. A dice is rolled 3 times, compute the probability of getting AT LEAST ONE 5?

A:

Q: 7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from…

A:

Q: 20. Suppose that 21% of people own dogs. If you pick two people at random, what is the probability…

A: Given,The probability people own dogs is 0.21

Q: Suppose    52%    of    students    support    the    idea    of    paying    student    government…

A:

Q: 8. A recent study finds that 40% of all professors found their job extremely stressful. Suppose 12…

A:

Q: A fair 10-sided die is tossed. What is the probability that the numbers 9 or 7 or 2 are tossed?

A: We are given a 10-sided die.So first we need to find outcomes and their corresponding…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: When 2 dies are rolled then the possible outcomes are (r1, g1), (r1, g2), (r1, g3), (r1, g4), (r1,…

Q: 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20,…

A:

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at…

A: Given p =0.6 and n=3   P(X>3)=1-P(X<3)               =1-Cxn px(1-p)n-x…

Q: What is the probability of rolling, on a fair dice a number lying between 0 and 7?

A:

Q: a) Two fair six-sided dice are thrown. What is the probability that the sum of both dice is at least…

A:

Q: What is the probability of rolling, on a fair dice a number greater than 4?

A:

Q: What is the probability of rolling a sum of 7 or 11 with two fair dice? Show all work.

A:

Q: Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

A:

Q: What is the probability that between 10:00 and 10:30 the switchboard will receive more than 9 calls…

A:

Q: The accompanying table lists probabilities for the corresponding number of girls in 4 births. What…

A: Frequency distribution of girl births is given.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Define the events: A : Number on red die is 5B : Sum of numbers on both die is 9.

Q: A poll is given, showing 80% are in favor of a new building project. If 9 people are chosen at…

A:

Q: Q1/ Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

A: We have given two pair of dice rolled.  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6 S={ (1,1) (1,2) (1,3)…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A:

Q: f 2 percent of the rifles in an arsenal are defective, what is the probability that a random sample…

A: Given that  2 percent of the rifles in an arsenal are defective . P = 2% = 0.02 Sample size (n) =…

Q: What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of…

A: Given At east one of a pair of fair dice lands of 5, The sum of the dice is 9

Q: 13. Suppose that a lot of 5000 electrical fuses contain 5% defectives. If a sample of five fuses is…

A: Given,n=5000p=0.05here A random variable X~Poisson(λ)because n is large and p value very smallso ,…

Q: 3.12 In a city of 180,000 people there are 20,000 legal im- migrants from Latin America. What is the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: are selected at random, what is the probability that the majority of the committee members are…

A: here  from given information, total 20 member  12 are teachers and 8 are students here 5 members are…

Q: 9. Suppose you draw two tennis balls from a bag containing 3 white balls, 9 green balls, 2 yellow…

A: There are total 21 balls are present.

Q: What is the probability of getting a total of 9 exactly once in 3 throws with a pair of fair dice?

A: Given The odds of getting a 9 is 4/36 = 1/9 possible outcomes are: 3-6 4-5 5-4 6-3