6. Three fair dice are rolled. Find the probability mass function of the product of the three numbers appearing given that their sum is 5. Hint:

Q: box A and box B both contain the numbers 1,2,3 and 4. construct the probability mass function draw…

A: Let X be a discrete variable having different values xi; (i=1,2,...,n) then its probability mass…

Q: Let W be weight in kg, taken from 1000 student and W ~ N (50,25) 1. What is the median weight in kg?…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 25 W~N (50, 25)

Q: bly time of a product is uniformly disributed between 5 to 10 minuates. the probability of assmbling…

A: Given: Lower limit (a) =5 Upper limit (b) =10

Q: Find the expected value of the sum obtained when n fair dice are rolled.

A:

Q: life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law…

A: Given that  X~Poisson(λ=3) Probability mass function of X  P(X=x)=λxe-λ/x!   , x=0,1,2,____

Q: A pair of die is rolled.  Find the probability of  rolling: a. a sum more than 5 b. a sum not less…

A: Note the following list of all possible outcomes from a roll of a pair of die: (1,1) , (1,2) ,…

Q: Toss a fair coin twice. Let X denote the number of tails. Find the probability mass function of X.

A: We have given that the fair coin is tossed twice. The sample space S is, { HH, HT, TH, TT }

Q: 1. Determine whether the following can be probability distribution of a discrete random variable X.…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Four fair coins are tossed. The outcomes are independent, find the probability mass function of the…

A: Solution: Let X be the number of tails and n be the number of fair coins are tossed.

Q: A restaurant prepares a tossed salad containing on the average 6 vegetables. Find the probability…

A: Given :  λ = 6 A restaurant prepares a tossed salad containing on the average 6 vegetables. To find…

Q: the sum of numbers on the two dice. Find Var(X). pd p ssoi '7

A: V(X)=E(X2)-[E(X)]2 Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

Q: In a M/M/1 model, the average number of customers in the system is 14. Then, the probability that…

A: We have given that  Number of customers in the systems is (Ls)=14

Q: 3. A fair dice is thrown 4 times. Find the probability of obtaining the number 6. a. Exactly 2…

A: When a fair die is thrown , Probability of getting number 6 , P(A) = 16 = 0.16667 Probability of not…

Q: A die is rolled. Find each probability to 3 decimal places. A. The number on top is less than 3. B.…

A: when a die is rolled possible outcomes are s={1,2,3,4,5,6} n(S)=6

Q: Suppose you toss a coin until head shows up where P(H) = p. Let X be the total number of tosses.…

A:

Q: 9. Find the probability, P(A and B), if P(A) = 0.8, P(B) = 0.52, and A and B are independent.…

A: Probability of P(A and B)=P(A)×P(B)                  Where A,B are two independent events

Q: Bits are transmitted through a digital transmission. channel. the probability of receiving these…

A: Solution: Let X be the number of bits received in error in the next 6 bits transmitted. The possible…

Q: 3) A fair coin is tossed 1200 times. Use CLT to compute the probability that head appears at most…

A: The provided information is  n=1200 p=1/2 A fair coin is tossed then Then mean is…

Q: You randomly shoot a dart onto a 2ft x 3ft size rectangular board. Assume that you never shoot…

A: Geometric Probability: Geometric probability is a method to deal with the problem of infinite…

Q: Toss a fair coin once. Let X be the number of tails that occur. Find the probability mass function…

A: It is given that X : number of tails in tossing a fair coin. Note : Since you have asked multiple…

Q: Find the probability P( Z > 2 ).     0.0228     0.5228     0.9772     0.4772

A: To find: P(Z>2)

Q: Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells…

A: Part (1) Let X be a random variable denoting the number of passengers who show up for the flight.…

Q: Assume that private preschool costs in the city are normally distributed. The average amount that…

A: The given data is as follows:Population mean, Population standard deviation, Sample size,

Q: Find the size that a Cosmic Crisp apple Find the proportion (probability) of Cosmic Crisp apples…

A: 7. Let x be the size of a cosmic crisp apple which follows normal distribution with mean 71mm and…

Q: b. Determine the probability that the next fight from the airline will require between 25 and 35…

A:

Q: Students arrive at restaurant at an average rate of 5 in 15 minutes. 1. The probability that 3…

A:

Q: 10. Find the probability, P(A or B), if P(A) = 0.45, P(B) = 0.38, and P(A and B) = 0.05. (Express…

A:

Q: 10. A fair coin is flipped four times. Let X be the number of times that heads is followed…

A: Sample Space: In probability theory, a sample space is defined as the set of all possible outcomes…

Q: The probability of hitting a target by three marksmen A, B 1 1 1 and Care and , respectively. Find…

A:

Q: Consider the random variable L, the length of time it takes to hear a case in a small claims court.…

A: Given dataconsider the random variable L, the length of timeit takes to hear a case in a small…

Q: Suppose a single die was rolled. Let x be the random variable representing the number of even…

A: If a die is rolled there is total 6 outcomes possible that are {1, 2, 3, 4, 5, 6}. In these 6…

Q: A die is rolled 8 times. Find the probability of getting exactly THREE 4's. (Hint: B D) A. 0.104 B.…

A: We have to use Binomial distribution. Binomial distribution : If X follows Binomial distribution…

Q: a. A small class consists of 15 students. How many ways can you choose 5 students to sit on a…

A: The combination rule can be used to find the total number of different ways of selecting r items…

Q: . A quality engineer at a manufacturing company is keeping track of the number of parts that are…

A: Since you have posted a question with multiple subparts, we will solve the first 3 sub-parts for…

Q: A tour guide is in charge of overseeing groups of 3 visitors during the trip. There is a probability…

A: A tour guide is in charge of overseeing groups of 3 visitors during the trip. There is a probability…

Q: a. Find the probability that it will take more than an hour to hear a case.           b. Find the…

A: