(a) Find the value of K. (b) Is this random variable discrete, continuous or mixed. (c) What is the probability that < X<1? (d) What is the probability that

Q: The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given…

A: It is given that the probability of passing the exam is p=0.7. It is asked to find the probability…

Q: If the probability of occurrence of an event (probability of success) in a single trial of a…

A:

Q: There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number…

A: From the provided information, The probability distribution of X is as follow:

Q: You roll a 6-sided die 10 times. Let X be the total value of all 10 dice X = X₁ + X2 + ..+X10 You…

A: To apply the central limit theorem, we need to calculate the mean and standard deviation of the sum…

Q: The pharmaceutical manufacturing process is continually monitored for out-of-specs content of the…

A: A. The complete table is given below.Out-of-specs (x)Probability (x)x.P(x)x - μ(x -…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3 ​P(x)…

A: The probability distribution of number of televisions per household in a small town is given by,…

Q: Variance of a uniform probability distribution is Var(X)=(a-b)^ 2 /12 where b>a True False

A: Given: Varx=a-b212 .......where b&gt;a

Q: compute the probability of x successes given n = 12 and p = 0.45 a p(4<X<7) b(5<X<7)

A: Given: x~Binomial(n=12,p=0.45) a) P(4&lt;X&lt;7)=? b) P(5&lt;X&lt;7)=?

Q: In a certain industrial facility, accidents occur infrequently. It is known that the probability of…

A:

Q: Show that the Expected Value (mean) of X, E(X) is

A: The calculated value of B is incorrect: I found it to be 5/117We, have to show Mean =24/13…

Q: Tendulkar is playing a cricket tournament in which each player can play 200 balls and the player who…

A: The number of balls each player has to play is 200. The player who hits maximum number of six will…

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: Notation of 0 + Using the same survey from Exercise 3, the probability of randomly selecting 30 of…

A: Justification:A random sample of 30 consumers are selected from a population of 1,009 consumers and…

Q: Two dice are rolled and the sum of the outcomes is counted. (correct your answers to 4 decimal…

A:

Q: 不 The graph of the discrete probability to the right represents the number of live births by a…

A: (a) What is the probability that a randomly selected 40- to 43-year-old mother who had a live birth…

Q: Let X and Y be two possible events with P(X) = 0.36 and P(Y) = 0.23 respectively Assume that events…

A: P(X) = 0.36 P(Y) = 0.23

Q: * (2) Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A/B) = 0.1. Then P(A|AUB) is (a)…

A:

Q: 7. [Maximum mark: 16] A large farm produces eggs that are packaged in boxes with 12 eggs in each…

A: The objective of the question is to find the probability of various scenarios related to the eggs…

Q: f n = 5 and p = 0.40, what is the probability that: (a) X = 4?                            (b) X ≤…

A: Let X be the random variable from binomial distribution with probability (p) = 0.40 and sample size…

Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

Q: Current Attempt in Progress Suppose that f(x) = 1.5x² for −1 -0.5) = f) Determine x such that P(x <…

A:

Q: What is the probability of obtaining exactly four tails in five flips of a coin, given that at least…

A: From the given information, number of times a coin is flipped n = 5. Let A be the event that will…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3 ​P(x)…

A:

Q: A large fast-food restaurant is having a promotional game where game pieces can be found on various…

A:

Q: (5) To identify the correct expression for the probability "In a box there are Defective and Non…

A: P(defective item) = p  P(check at least 7 items to get two defective) = ?

Q: I have the binomial table I just have no idea what they're asking for

A: The provided information is:n=7p=0.2Consider X is a binomial random variable. n is number trials and…

Q: The probability distribution f the discrete random variable X is f(X) for x = 0, 1, 256 2, 3, Fin}E…

A: Given: fx=3x41x433-x256      for x=0,1,2,3

Q: A student is selected from the class of 20 students to supervise a certain class project by…

A:

Q: The probability that there will be at most 2 men with high blood pressure is २ P(X < 2) = ≥ P(X=X) :…

A: 5.The provided information is n=6p=0.15P(X=x)=(Cxn)*px*(1-p)n-x…

Q: at 8:30 and may last anywhere between 5 to 15 minutes with equal probability. What is the…

A: Ali office driving time is in the interval [8:30,9.00]. His favourite radio program timing is…

Q: Daniel is 1000 meters from his home and decides to walk home. Every time he takes one step, he goes…

A: There are two possible outcomes that the person goes forward or backwards and each steps is…

Q: (1 point) Suppose that 43% of households in a city have children. You take a random sample of 20…

A: This is a binomial distribution since it satisfies the following conditions:Fixed number of trials:…

Q: For discrete probability distribution x 0 1 2 3 4 5 6 7 f 0 k 2k 2k 3k k^2 2k^2 7k^2+k The mean…

A: The value of k is obtained below: Thus, the value of k is 1/10.

Q: Coin A has a probability of head equal to 1/4 and probability of tail equa to 3/4 and coin B is a…

A:

Q: Suppose that a number  is randomly chosen from the interval (-6,6). What is the probability that…

A: