To obtain the probability that a continuous random variable falls in a specified range, we find the difference between the cumulative probabilities at the lower and upper end of the: A. Range В. Mean C. Mode D. Median

Q: Table 4 is the probability table for a random variable X. Find E(X), Var(X), and the standard…

A:

Q: For two events, A and B, P[A] is; P[B] is and P[AB] is Determine the values of: P[AB]; P[AUB];…

A: It is given that P(A) = 1/2, P(B) = 1/4, P(A ∩ B) = 1/8

Q: a Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

Q: h. Find the conditional distribution of f (x[y), P(X = 2 | Y = 1). i. Find the conditional…

A: here given joint distribution of x and y  Using bayes rule Calculate the conditional Distribution

Q: Exercise 1: The weight of a random scone sold by your favorite bakery has a mean of 105g I a…

A: Given: μ = 105 σ = 5 Formula Used: Z-score= X-μσn

Q: P b. 0.9 C. Od. 0.5

A: It is an important part of statistics. It is widely used.

Q: Find the probability that a randomly selected adult has an IQ between 85 and 125 and type an integer…

A: It is given asMean = 105Standard deviation = 15

Q: Write the values of 'a' for which the following distribution of probabilities becomes a probability…

A:

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: f(x,y)   y=1   y=2    y=3   Total    x=1    0.1 0.05 0.02 0.17      x=2    0.1 0.35…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: Approach to solving the question:Contingency tables are a great way to classify outcomes and…

Q: Which of the following is a Continuous random variable?    a. The number of barangays in the…

A: Solution-:   Which of the following is a Continuous random variable?    (a) The…

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: Determine whether the following value is a continuous random variable, discrete random variable, or…

A: We have to determine whether the value provided in the question is a discrete random variable or…

Q: When parking a car in a downtown parking lot, drivers pay according to the number of hours or…

A:

Q: The random variable Y have a geometric distribution with a mean of 5.The probability that P(Y=4) is

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Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…

A:

Q: please ask a and

A: a)PX is even∪X≥7=PX=2+PX=4+PX=6=f2+f4+f6=0.25+0.1+0.1=0.45   Therefore, the probability that X is…

Q: Thestandard deviation of a probability distribution must be: A.anonnegative number B.anumber between…

A: The formula of standard deviation iss=Variance=∑x-x2n-1 Therefore, the value of standard deviation…

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: f(x,y)     y=1   y=2     y=3    Total       x=1   0.10  0.05    0.02   0.17…

Q: Indicate whether the variable is a discrete or continuous random variable: how many candies are in…

A: The variable is a characteristic that can be measured. A discrete variable takes the finite…

Q: Calculate the mean and variance of the weight of the package B. Determine the probability that the…

A: It is given that X follows Uniform(a = 45, b = 70).

Q: The following table represents the joint probability distribution of the number of letters dropped…

A: a. The sum of the probabilities for the distribution add up to 1. The value of C is,…

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

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Q: Determine if each of the following situations illustrates a continuous random variable or not. a.…

A: a) The weight can be any number. If we use a good weight machine then we can get the exact value of…

Q: Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35. The…

A: From the provided information, Miles per gallon of a vehicle is a random variable with a uniform…

Q: The following table represents the joint probability distribution of the number of letters dropped…

A: From the given information, The pmf table can be expressed as;   Y=2 Y=3 Y=4 Y=5 P(X=x)   X=0…

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: Suppose three cell phones are tested at random. Let D represent the defective cell phone and let N…

A: Here, three cell phones are tested randomly where D denotes the defective cell phone and N denotes…

Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: The pulse rate of adults in a given population follows a normal distribution with a mean of 70 and a…

A: From the given information, it is clear that,  Population mean μ=70 Population variance σ2=20 Sample…

Q: b. It was determined that, in his one day international cricket career, West-Indian batsman Carl…

A: An average of 3 boundaries per matchLet "x" be that Hooper will hit boundariesx~Poisson()P(X=x)=

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.