pansion). When k dice are thrown, to find the probability that the sum of points on the dice is equal to a given value r.

Q: In a country, a day can be either rainy or sunny. The probability of a day being rainy is 40.0% .…

A: Probability that a day is rainy day = 40% = 0.4 15 days are collected at random. Define the random…

Q: Delta Airlines' flights from Chicago to Seattle are on time 50 % of the time. Suppose 11 flights are…

A:

Q: Find the indicated probability. 58) One card is drawn at random from a deck of 52 cards. The first…

A:

Q: 36. Eight coins are tossed simultaneously. The probability of getting at least 6 heads is

A:

Q: Find the probability that at least one ball of each color is chosen.

A:

Q: Ten coins are thrown simultaneously. Find the probability of getting atleast seven heads.

A: Answer: Ten coins were thrown simultaneously.

Q: A fair coin is tossed 300 times. Determine the probability of obtaining i. Exactly 210 heads ii.…

A: Givenn=300p=12=0.5np=300×0.5=150 ≥5nq=n×(1-p)=300×(1-0.5)=150 ≥5 so, we can use normal…

Q: American Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 11 flights…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: 21. A jar contains 7 black marbles and 6 white marbles. You reach in and pick 4 marbles at random.…

A: Given data A jar contains 7 black marbles and 6 white marbles you reach in and pick 4 marbles at…

Q: A fair die is cast. What is the probability that: Prompts the result is four the result is at most…

A:

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine…

A:

Q: 3. Find the probability that a person flippinga coin gets (a) The third head on the seventh flip.…

A: For the discrete random variable, the pdf of the binomial distribution is given by- We have to find…

Q: In a village, power cuts occur randomly at a rate of 3 per year. Find the probability that in a…

A:

Q: 9-member committee is selected from 8 men and 10 women. a)Find the probability that the selected…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A bag contains 2 red marbles, 5 green marbles, and 7 blue marbles.  You randomly draw a handful of 4…

A:

Q: (10) A box contains 12 black marbles and k white marbles. If a marble is picked at random 5 -. Find…

A:

Q: Eight coins are tossed simultaneously. Find the probability of getting atleast six heads.

A:

Q: American Airlines' flights from Chicago to Dallas are on time 80 % of the time. Suppose 8 flights ar…

A: The binomial formula is: 1. The required probability is: P(7)=0.33554432 P(7)=0.336 0.336

Q: 5 Eight fair coins are tossed and the total number of heads showing is recorded. Find the…

A: We have to find given probability.

Q: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Draw two balls,…

A: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Sampling is with…

Q: American Airlines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 12 flights…

A: Given that  n=12 , p=90%=0.90 , q=1-p=1-0.90=0.10 X~Binomial(n=12,p=0.90) X=Number of flights on…

Q: 5 the probability that A hits a target is 4, and the probability that B hits the target is 2/5 both…

A: Given data: The probability that A hits a target is P(A)=1/4. The probability that B hits a target…

Q: 55 The letters of the word article' are arranged at random. Find the probability that the vowers may…

A:

Q: a. Assume that a bag contains 5 Green, 10 white balls. 2 balls are drawn randomly one after another…

A:

Q: 1.) Three dice are rolled. Find the probability of getting three 2s if it is known that the sum of…

A:

Q: 10. One ball is drawn at random from a box containing 3 red balls, 2 white balls, and 4 blue balls.…

A: Given that Total number of balls = 9 Number of red balls = 3

Q: United Airlines' flights from Boston to Seattle are on time 80 % of the time. Suppose 6 flights are…

A: Answer - Given P= 0.80,  n = 6            Using Binomial distribution             P(X = x) =…

Q: A fair coin is tossed 100 times. Find the probability that there are between 40 and 60 heads…

A: The known values are The values of mean and standard deviation are, Check the conditions for…

Q: A box contams 90 marbles, each of which is either white or red. If a marble is to be selected at…

A:

Q: American Airlines' flights from Denver to Seattle are on time 80 % of the time. Suppose 12 flights…

A: The random variable X follows binomial distribution. X follows binomial distribution of n and p. The…

Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: 35. A line segment AB is divided into three parts by two points P1 and P2 at random. Find the…

A: Given, From the given data, Let AB be the given line and let P1 be nearest to A then P2.

Q: Ten coins are thrown simultaneously. Find the probability of getting at least seven heads.

A:

Q: 21. In an NBA championship series, the team that wins four games out of seven is the winner. Suppose…

A:

Q: American Airlines' flights from Chicago to Atlanta are on time 90 % of the time. Suppose 9 flights…

A: Given information- We have given a problem of binomial distribution. We have given that American…

Q: Urn ? has 2 white and 3 black balls, Urn ? has 4 white and 1 black, Urn ? has 3 white and 4 black…

A: Given Urn l has 2 white and 3 black balls, Urn ll has 4 white and 1 black, Urn lll has 3 white and 4…

Q: 40% of a class are women. The probability that a woman likes the color blue is 10%. What is the…

A:

Q: wo dice are rolled - one fair one, and unfair one. For the unfair die, the probability of ding on…

A: If x can take values 1,2,3,4,5,6 and similarly if  y can take values 1,2,3,4,5,6 , then following…

Q: Records show that 66% of employees at a high level research facility have a doctorate degree. If 14…

A:

Q: selected at random, without replacement. What is the probability exactly three marbles selected is…

A: Given Data : population size, N = 10 number of successes in the population, m = 2…

Q: 52% of dogs enjoy biting the mailman. Select 5 random dogs. What's the probability AT LEAST 1 Enjoys…

A: Given : p = 0.52 where p is probability of dogs enjoy biting the mailman. n = 5 let X be the dogs…

Q: 5. A pair of dice is tossed. Find the probability of getting a total of 8.

A:

Q: independent determinations are made. What is the probability that both the determinations will be…

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Q: b. Toss a coin 10 times. Given that at least 7 heads are tossed, what is the probability that the…

A: we need to conpute conditional probability

Q: 8. Jody flips a fair coin three times and each time it lands on heads. Jody believes he can…

A: Given that Jody flips a fair coin three times and each time it lands on heads.  And Jody believe…

Q: 1. A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A:

Q: 2. A dice is thrown 4 times. Find the probability that there are: a. Exactly two sixes b. At least…

A: Consider, X be the number of sixes of a toss of four dice. Sample size (n) =4 X can take following…

Q: A fair die is thrown two times in succession. The probability of throwing at least one six is A

A: List of outcomes for throwing two dice is, Total number of elements is 36. The sample space for…

Q: 5.  A day of the week is chosen at random. What is the probability of choosing a Monday or Tuesday?

A: