A die is thrown 8 times. If getting a 2 or 4 is a success. Find the probability of i) 4 succesS dedong ii) P(X<3) iii) P(X22)

Q: A husband and wife are planning to have 3 children. What is their probability of having 3 girls…

A:

Q: A pair of dice is tossed. Find the probability of getting at least a sum of 5.

A:

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

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

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

A:

Q: Assuming the probability of a male birth as find the probability that a family of 3 children will…

A:

Q: A box 'A' contains 3 white and 2 black balls and a box 'B' contains 3 white and 7 black balls. One…

A: Let us define some events A : ball is drawn from box A. B : ball us drawn from box B. E : ball is…

Q: Assuming a married couple has an equal chance of giving birth to a male or a female child, find the…

A:

Q: The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the…

A: We have given that  n=9 , p=0.5 , q=1-p=1-0.5=0.5 X~Binomial(n=9,p=0.5) Find P(x≥4) and  P(x≤8)

Q: Find the probability that when a couple has four children, at least one of them is a girl. (Assume…

A: Here , Binomial distribution is applicable

Q: Two fair dice are rolled, Find the probability of getting a sum of less than 6

A:

Q: 3. The probability of a man hitting a target is 0.40. If he fires 5 times then, find the probability…

A:

Q: What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

A: Let us suppose that, A &amp; B are the two events then following is the formulae for Bayes' Theorem…

Q: One card is selected at random from a deck of cards. Determine the probability of selecting a card…

A: Less than 7 cards means= A,2,3,4,5,6Each denomination has 4 cards. So total (6×4)=24 cards are less…

Q: A pair of dice is rolled. What is the probability of getting a sum less than 7?

A: When a pair of dice are rolled then there are (6x6)=36 cases, because each die has 6 outcomes.  If…

Q: A father asks his sons to cut their backyard lawn. Since he does not specify which of the three sons…

A:

Q: A game has a probability of winning of 0.6. Alexa plays until she loses. What is the chance she'll…

A: We have to use Geometric distribution. Geometric Distribution : Geometric random variable X defines…

Q: A test consists of five questions, and to pass the test, a student has to answer at least three…

A: Number of question in a test is 5. Number of options for one question is 3.

Q: If two pennies are flipped once, what is the probability both pennies will turn up heads? Assume…

A: Given that Two pennies coin are tossed  Coin are fair then probability of head or tail is 0.5

Q: An archer is able to hit the bull's-eye 47% of the time. If she shoots 6 arrows, find the…

A: According to the provided infomation, probability of success (p) = 0.47 number of trials (n) = 6

Q: Two dice are rolled, probability of getting a total of 4 given that both-faces are similar is

A: Number of dice rolled is 2

Q: Bowl XIVI was played between the New York Glants and the New England Patriots in wn team, the Colts,…

A: Note: as per answering guidelines we have to answer only the first question in case of multiple…

Q: 3. If the probability that a man shoots a bird is 0.7, find the probability that he: (a) will hit at…

A:

Q: Suppose that a family has 6 children. Also, suppose that the probability of having a girl is 1/2.…

A: The probability that the family has at least 5 girls is,

Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

A:

Q: A die has two of its sides painted green. It is rolled four times. What is the probability of…

A: The probability mass function of binomial distribution is given below:

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

A: Binomial distribution: Consider a random experiment involving n independent trials, such that the…

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: Dan tosses a fair pyramid die that has four sides 3 times.  What is the probability he rolls at…

A:

Q: You are dealt one card from a standard 52 card deck find the probability of being dealt a card…

A:

Q: three cards are drawn from an ordinary deck without replacement. find the probability of getting all…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: The average number of field mice per acre in a wheat field is estimated to be 1.2. Find the…

A:

Q: A game is played by rolling the two dice, three times (toss the two dice three times). What is the…

A: It is given that there are two dice that are thrown three times. Consider that D1 and D2 are defined…

Q: An aircraft is used to fire at a target. It will be successful if 2 or more bombs hit the target. If…

A:

Q: Suppose that a family has 7 children.​ Also, suppose that the probability of having a girl is 1/2.…

A: From the given information,Number of children, n=7And probability of girl, P=1/2=0.5.Here, we can…

Q: A couple has 3 children. Assuming independence and the probability of a boy is 1/2, determine the…

A:

Q: A vaccine has a 90% probability of being effective in preventing a disease. the prob. of getting the…

A: There is a probability of 90% that a vaccine will be effective in preventing a disease. There is a…

Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

A:

Q: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: Correct answer is (b) 0.0272

Q: A bag contains 4 black balls and 4 white balls. Suppose one draws two balls at the time, until the…

A: Probability: Probability is about estimating or calculating how likely or 'probable' something is to…

Q: The probability that a sales representative will make a sale is o.20. If the representative talk to…

A: Binomial distribution is used when the experiment has only two outcomes and that same experiment is…

Q: From a bag contaning 3 white, 4 black and 4 red balls, a ball is drawn. Find the probability that it…

A: Solution: From the given information, a bag contains 3 white, 4 black and 4 red balls. Total number…

Q: Suppose that a family has seven children. Also, suppose that the probability of having a girl is…

A:

Q: In a college, 60% of the students are boys. A sample of 4 students of the college, is taken, find…

A:

Q: According to a theory a type of cross breeding of guinea pigs will produce red, black and white…

A: We have given that  Theory a type of cross breeding of guinea pigs will produce red, black and white…

Q: The probability of a man not hitting a target is 3/4. If he fires 6 times, what is the probability…

A: Solution: Let X be the number of times a man hitting the target and n be the sample size. From the…

Q: The probability that an evening college student will graduate is 0.4. Determine the probability that…

A:

Q: A can hit a target three times in five shots, B two times in tive shots and C three times in four…

A:

Q: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: P(hit) = 4/5 P(miss) = 1/5 = p n = 4 shots Distribution : Binomial Random variable = X = no. of…

Q: Suppose that a family has 7 children.​ Also, suppose that the probability of having a boy is 1/2.…

A: From the given information,Total number of children in the family is: = 7Probability of having a boy…