10) A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability for the value of x = 5. 3 5 8 10 p(x) 0.10 0.20 ??? 0.30 0.10 A) 0.3 B) 0.2 C) 0.7 D) 0.1

Q: 27. The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18…

A: It is given that the time it takes to wash the dishes is uniformly distributed between 11 minutes…

Q: Four rats are selected at random from a cage of 5 male (M) and 4 female (F) rats. If the random…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 4)- Suppose y is a random variable for which a Poisson probability distribution provides a good…

A:

Q: 2. a. It is known that 4% of the screws produced by a company weigh less than their specified value,…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 76% of the people are…

A: The probability distribution table is given as: X P(x) 0 0+ 1 0+ 2 0+ 3…

Q: (ii) For what value of 0, the random variables Y, and Y, are uncorrelated.

A:

Q: 2.The following table summarizes the data of the number of persons living in the households in the…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 74% of the people are…

A:

Q: The discrete random variable X has the following probability distribution: 2 0.2 |4 |10 P(x) 0.3…

A: Solution: From the given information, probability distribution for the discrete random variable X is

Q: 4.2 The probability distribution of the discrete ran- dom variable X is

A: From the given probability distribution, The sample size is 3. That is, n=3 p=1/4 Mean=n*p…

Q: Let the random variable X represent the number of cars that are used for official business purposes…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 77% of the people are…

A: Suppose that, the random variable X defines the number of Mexican-Americans jurors.

Q: 2. The number of patients visiting an emergency room during the graveyard shift (11:00pm-7:00pm),…

A: Given probability distribution: X 0 1 2 3 4 5 6 P(X=x) 0.05 0.20 0.25 0.20 0.10 0.15 0.05

Q: 3. The probability distribution of random variable X is given below: 1 2 Р() 0.9 0.1 A second random…

A:

Q: What is the probability that a normally distributed random variable X is greater than 85 if ux = 75…

A: Given that, Mean = 75 Standard deviation = 4

Q: Assume that 12 jurors are randomly selected from a population in which 82% of the people are…

A: Given, that 12 jurors are randomly selected from a population in which 82% of the people are…

Q: 14. If a random variable X has a Gamma distribution with a =3 and B= 2, Find the Probability that X…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 86% of the people are…

A: The probability of exactly 7 Mexican Americans among 12 jurors is obtained below: P(x=7)=0.0148.

Q: 3. The ratio of adult males to adult females living in a certain town is 17:18, and of these adults,…

A: Solution

Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: 14. A product output is known to be 1% defective. In a random sample of 400 components, determine…

A: As per company guidelines I solved only First questions.thank you

Q: Assume that 12 jurors are randomly selected from a population in which 85% of the people are…

A: Given that, 12 jurors are randomly selected from a population in which 85% of people are Asian -…

Q: 5% of all tires produced by company A has defect. What is the probability that the first defect is…

A: Let X be a random variable such that X: Number of defected tires detected X~Bin20, 0.05

Q: Suppose the random variable X has the following probability distribution -1 1 P(X=x) 0.2 0.3 0.3 0.2…

A: Given data,   1)P(X<2)=?

Q: 3. 0.03 of the goods produced in a factory are defective. When a 25 unit sample is drawn for…

A: P(defective)=0.03=P q=1-P=0.97 n=25 x= no. of defective goods, p(x=X)=nc x px qn-x    - binomial…

Q: Suppose a simple random sample of size n=150 is obtained from a population whose size is N=10,000…

A: Introduction: Denote p as the true population proportion. It is given that p = 0.2. Denote p̂ as the…

Q: A discrete random variable x has the the following probability distribution      X 1 2 3 4 5…

A: Introduction: For a discrete random variable X, the probability mass function (pmf), p (x) = P (X =…

Q: 2. Let the mgf of a random variable X be Find P(X 1 or X 2).

A: We want to find the P(X=1 or X=2)

Q: suppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the…

A: Given: P(X=k) = 0.02k k = 8,12,10,20 Here takes the value 8,12,10,20

Q: Suppose a discrete random variable Y has the probability function as given in the table below. 1 2 3…

A: Given that pmf of X: Then find

Q: If the probability function of the random variable x is defined as x-N(20,25), what is the standard…

A: We have to find correct answer..

Q: Which value for x will result in the greatest relative frequency given discrete random variable X,…

A: Correct answer is (D) x=0 Reason:

Q: 4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and…

A:

Q: Suppose that the joint probability for random variables X and Y defined by 01 28 28 28 21 3. 28 ZH…

A: Given: The joint probability for the random variable X and Y is given as:   y=0 y=1 y=2 f(x)…

Q: 2. If a discrete random variable X follows uniform distribution and assumes only the values 8, 9,…

A:

Q: .123 The random variable Y has a Poisson distribution and is such that p(0) = p(1). What is p(2)?

A: Given that : Y has a Poisson distribution and  P(0) = P(1)  By using this information we calculate…

Q: Assume that 12 jurors are randomly selected from a population in which 76% of the people are…

A: We have to find given probabaility

Q: 1. A random variable takes on the values as follows:1.25, 2.34, 3.11, 6.13, 9.13, 12.14 Is the…

A: Note: As per our company guidelines, we are supposed to answer only the first question. Kindly…

Q: 2. The number of patients visiting an emergency room during the graveyard shift (11:00pm-7:00pm),…

A: Since you have asked multiple subparts questions, we will solve first three subparts for you. To get…

Q: 1. It is believed that fifty percent of the students at UPNG are in favour of a ban on drinking…

A: Binomial distribution: It is the probability distribution of a discrete random variable. The…

Q: he amount of time it takes a TELNOR cashier to serve customers in service by car is a normally…

A: Given that  The data is normally distributed. The amount of time it takes a TELNOR cashier to serve…

Q: For families with 5 children, let XX be the number of children with Genetic Condition B. Can the…

A: Conditions for the discrete probability distribution: The sum of all probability is equal to 1.…

Q: 4. A large insurance company indicates that 78% of the policy holders have at least one health…

A: Probability that a policy holder has at least one health issue is 0.78. Probability that a policy…

Q: Let X1 ~ N(0,1), X2 ~ N (0, 1), and X3 ~ x?(n) be mutally independent random variables. Find the…

A: Calculate the expectation of the random variable X-bar.   Similarly, calculate the standard…

Q: Assume that 12 jurors are randomly selected from a population in which 73% of the people are…

A: It is given that 73% of the people are Mexican-Americans.

Q: 1. The number of meteors found by a radar system in any 30-second interval under specified…

A: Given :  The number of meteors found by a radar system in any 30-second interval under specified…

Q: 3. The probabilities thata customer will rent 0,1,2,3, or 4 DVDS on a single visit to the rental…

A:

Q: 2. Find the variance and the standard deviation of the probability distribution of the random…

A: NOTE: As per the guidelines, we are supposed to solve the first question…