The random variable X can only take the values ​​1, 2, 3 and 4 with equal probability. Determine the distribution function.

Q: To avoid detection at customs, a traveler places 4 narcotic tablets in a bottle containing 10…

A: Random Variable: In probability theory, a random variable is a variable whose values depend on…

Q: Approximate the mean of the random variable X based on the simulation for 25 games. hits

A: The sample size is 25.

Q: If X is a continuous random variable with the uniform distribution on [0,1], then what is P[X = .5]?…

A: We have given that X is a continuous random variable with the uniform distribution on [0,1].

Q: The probabilities that a patient will have 0,1,2, or 3 medical test performed on entering a hospital…

A: To find mean, variance and standard deviation.

Q: The probability that a bolt meets a strength specification is 0.87. What is the probability that the…

A: It is given that the probability that a bolt meets a strength specifications is 0.87.

Q: Take a 5 digit random numbers of size 50, sum each 5 digit random numbers and consider them as a…

A: in the above example, we have 5 digit random numbers of size n=50 here we sum each 5 digit random…

Q: Assuming that the distribution of resistance is normal, find the probability that: i. A randomly…

A: Consider the following table: The mean and standard deviation are calculated as follows:

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

A:

Q: If the random variable X is distributed according to the Binomial distribution X~Bin(5,0.6). then…

A:

Q: The number of visits to a website is known to have a Poisson distribution with a mean of 7 visits…

A:

Q: If the random variable x has a Poisson distribution With mean u=6, find the probability that x =17.…

A:

Q: As a part of the productivity assessment at a company, the HR manager carried out a survey and found…

A: Normal distribution is a continuous distribution which has many real world applications. A standard…

Q: Find the distribution function of the random variablethat has the probability distribution f(x) =…

A:

Q: Determine the distribution function, since the random variable X is the remainder of the product of…

A: Two numbers are selected from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The possible combinations for…

Q: The ratio to the probabilities of 3 successes and 2 successes among a Endependent trials = find the…

A: Answer: For the given data, Using binomial distribution,

Q: Let X be our random variable of the daily price of gasoline. Give an example of a continuous…

A: DefineX: The daily price of gasoline.

Q: The Random Variable X counts the number of students who passed a test in a class of 18 students. If…

A: Solution-: Given: n=18,p=0.457 We want to find P(X=2)=?

Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

A:

Q: 2 dice were rolled and the given random variable x in the table below shows the sum of the 2 dice…

A:

Q: A pair of dice are rolled. Let X be a random variable that denotes the sum of the number of dots…

A: Here Given  Pair of dice are rolled  So Total Possible number of Outcome=6×6=36

Q: Derive the mean and variance of Bernoulli distribution. Show your complete solutions.

A: Bernoulli distribution is a type of discrete distribution. Based on the bernoulli distribution,…

Q: For next year, 45% of veterans will buy a single-family home. If we pick a random sample of 5…

A:

Q: assume that the distribution is normally distributed. What is the probability the part is properly…

A: here given mean = 3 standard deviation = 0.08 Y = diameter of Pipe here use standard normal…

Q: If X follows the hypergeometric distribution than probability of success on each trails will

A: There are two types of variables: Continuous variables and discrete variables. Continuous variables…

Q: The probability of a can of paint containing contaminațion is 4.23%. The probability of a mixing…

A: We have given that  Probability of containing contamination is A= 4.23% The probability of a mixing…

Q: Determine whether the random variable described is discrete or continuous. The time of a randomly…

A: The random variable described is continuous.

Q: High blood pressure has been identified as a risk factor for heart attacks and strokes. The National…

A: Given data: p = 0.3 n = 38

Q: If X has an F distribution with m and n degrees of freedom, argue that 1/X has an F distribution…

A: See the handwritten solution

Q: Construct a probability distribution for the sum shown on the faces when two dice are rolled.

A: Given: Construct a probability distribution for the sum shown on the faces when two dice are rolled.

Q: The random variable for a person's taxi waiting time has an exponential distribution and the average…

A: We have to find given probability.

Q: ASAP!! There are 4 apples and 6 oranges in a basket. If any type of fruit is drawn twice randomly…

A: Given There are 4 apples and 6 oranges in a basket. Any type of fruit is drawn twice randomly from a…

Q: The probability that a person living in a certain city owns a dog is estimated to be 0.3. Find the…

A: Let p be the probability that a person owns a dog. Given that p = 0.3. Let X denotes the person…

Q: Supply the missing probability to create a valid distribution

A: Given information: The data represents the discrete probability distribution for the given data…

Q: Determine a probability distribution for the random variable, X, the number of credit cards issued…

A: In this problem we have to find out the probability distribution of a random variable X.

Q: In a Binomial Distribution consisting of 4 independent trials, probabilities of 2 and 3 successes…

A:

Q: A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of…

A: Given A shipment of 7 television sets contains 2 defective sets, therefore there are 5 non-defective…

Q: The number of pets per household in in a certain neighborhood varies from 0 to 6. The probability…

A: Here given probability distribution of X Where X = no of pet owned by random house hold Using…

Q: If every score in a distribution appears twice, what can be said about the distribution?   bimodal…

A:

Q: The time it takes to complete an online survey is uniformly distributed over the range of 10.1…

A: The probability density function of uniform distribution can be written as:

Q: Let X be a random variable with mean 6 and standard deviation 3, and Y a random variable with mean 3…

A: Two random variables are X and Y.

Q: The random variable X has a binomial distribution with n = 20 and p = 0.01. What is the mean and…

A: Consider the given information as, n=20 and p=0.01 As we know that formula of mean and variance…

Q: At a local university, 40% of students live in dormitories. A random sample of 80 students is…

A: The given information is that the random sample of 80 students is selected for a particular study.…

Q: Let a random variable X have the tn distribution. What is the distribution of X2? Select one: O a.…

A: We characterize tn distribution by, tn = ZCn Here, Z is a standard normal random variable and C is…

Q: Let X1, . . . , X7 independent random variables with exponential distribution of parameter λ = 2.…

A:

Q: If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of…

A: Let p be the chance of growing into a healthy plant = 0.61 Let n be the number of seeds planted = 57…

Q: The random variable x is observed twice. The observations are independent. What is the probability…

A: Here use given probability distribution and basic of sampling distribution

Q: Approximately 10 % of the glass bottles coming from a production line have serious defects. If two…

A: Let p be the probability that a glass bottle is defective. Given that p = 0.1 Let X denote the…

Q: A bartender calculates that every night she works, she has a 60% chance of earning more than $275 in…

A: Given: A bartender chances of earning more than $275 in tips is 60%, that is, p = 0.6. Number of…

Q: Provide the graphs for PDF and CDF of the random variable B which takes on values of 1 and 0 with…

A: Introduction: Denote the random variable as B.

Q: Calculate the values of the probability distribution function of X, i.e. the function py. First,…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.