Illustrate a probability distribution of a random variable X showing the number of face mask sold per day and its corresponding probabilities. Day Number of Face Mask (X) 25 20 15 14 15 10 12 8. 10 15 10 14 2345670o-

Q: A random variable Yhas a probability distribution given in the following table. Y 5 7 11 13 P(Y = y)…

A: Given: The pdf of Y is Y 5 7 9 11 13 P (Y =y) 0.12 0.08 0.28 0.20 0.32

Q: Find the variance and standard deviation of the probability distribution of random variable X if :…

A: Variance=EX2-E2(X)=12110+22110+32110+42110+52110+62110+72110+82110+92110+102110-1110+2110+3110+4110+…

Q: The full joint distribution in Table 1 describes the probabilities of the combinations of vehicle…

A: Given that  Age of owner Car Minivan SUV age < 30 0.15 0.05 0.1 30 <= age < 50 0.1…

Q: 27 - The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2…

A: Given The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2…

Q: A random variable Yhas a probability distribution given in the following table. Y 5 7 9. 11 13 P(Y =…

A: Let Z=17.2-3Y. Then, V(Z)= V(17.2-3Y). As, variance remains unchanged with change of scale, we have,…

Q: Did high gas prices keep Americans from hitting the road this past summer? In a nationwide survey of…

A: Conditions for discrete probability distribution: The following requirements should be satisfied for…

Q: The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of…

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Q: If 40 percent of the mice used in an experiment willbecome very aggressive within 1 minute after…

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Q: Suppose that the number of miles, X, until replacement is needed for a particular type of electric…

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Q: Consider a Poisson distribution with a mean of two occurrences per time period. a. Which of the…

A: Solution: Given information: Poisson distribution with mean of two occurrences per time period. The…

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: When conducting research on color blindness in males, a researcher forms random groups with five…

A: a) Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a…

Q: A local bakary has determined a probability distribution for the number of cheesecakes that they…

A: According to the given information, we have Given that a local bakary has determined a probability…

Q: 3) In a particular Statistics examination, approximately 75% of the students pass their examination…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Find the mean of the probability distribution of the random variable X which can take only the…

A: Given :P(2)=310P(3)=25P(4)=15P(5)=110

Q: The table below is a probability distribution of a discrete random variable X. Find its mean. 1 2 3…

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Q: Use the probability distribution for the random variable x to answer the question. 2 3 4 p(x) 0.12…

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Q: The table shows the​ distribution, by age and​ gender, of the 31.5million people in a certain region…

A: The number of females in the age 18-24 is 0.6 and the number of people in the age 18-24 is 1.5.

Q: In the probability distribution to the right, the random variable X represents the number of…

A: The variable X denotes the number of marriages in individual aged 15 years or old has been involved…

Q: If a random variable that follows exponential distribution shows that P(X2000)=0.7, Then P(30002000)…

A: Exponential probability distribution has memoryless property i.e. P(X < a   | X > b) = P(X…

Q: Consider a random variable with the following probability distribution:  X          P(X) 0…

A: The table shows the probability distribution of X.

Q: There is currently a global pandemic and many researchers and scientists are working assiduously to…

A: Given:- advanced researcher , a company that is currently testing a few vaccines confirms an 80%…

Q: 6) Suppose an employer allows its employees up to five "personal" days per year. Let random variable…

A: Given:   X: The number of personal days the employees take in a year. X Frequency P(X) 0 15…

Q: Find the mean and the variance of the discrete random variable X, whose probability distribution is…

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Q: The probability distribution of random variable X, that represent the number of defects per 20…

A: Given: The number of defects and the probability values are, x 0 1 2 3 4 P(x) 0.39 0.32 C…

Q: A. What kind of distribution does X have? B. What is the probability that one passenger arrives in a…

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Q: The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are…

A: Given PMF of X. Now will using this pmf to find required information

Q: Suppose x is a random variable best described by a uniform probability distribution with c=7 and d=…

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Q: In a photographic process, the developing time of prints may be looked upon as a random variable…

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Q: Calculate the expected value of X for the given probability distribution. 2 4 PIX-) 01 0.6 0.2 0.1

A: Expected value of x is given by,                                        E(x) = ∑ X P(X)

Q: 1. 3 7. 10 13 P(X) 0.2 0.9 0.7 0.6 10 11 P(X) -0.1 0.4 0.7 0.8 1 3 P(X) 0.3 0.2 0.2 0.3

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Q: A random variable X has the following probability distribution : 4 5 0-1 0:2 0.4 02

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Q: In a certain town, 20% of adults have a college degree. The accompanying table describes the…

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Q: Example 22: Suppose that the lifetime of a certain kind of an emergency backup battery (in hours) is…

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Q: 3. Look at the relative-frequency table below of the probability distribution for the frequency with…

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Q: The probability distribution of a discrete random variable X is given: -2 -1 2/8 | 2/8 | 1/8 2/8…

A: We first calculate Var(X)

Q: The following is the probability distribution for calls arrived at a switchboard of one of the…

A: X 2 7 12 16 P(X) 0.19 0.32 0.22 x

Q: which of the following probability distributions is a random variable?

A: Given that  Some probability distributions for a random variable   We know that  ∑P(X) =1 We check…

Q: Look at the relative frequency table below of the probability distribution of the discrete random…

A: From the provided information, x P(X=x) 0 0.09 1 0.29 2 0.42 3 0.02…

Q: In which probability distribution would a random variable XX have E(X)=λE(X)=λ?

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Q: Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=32730+5213+721330-3730+513+713302=31.6666666667-5.42=2.5066666667

Q: In Izmir University of Economics, a statistics professor has office hours from 9:00 AM to 10:00 AM…

A: Given, The number of students waiting to see professor is X. The probability distribution of X is:…

Q: yearly

A: Given: 25.0 25.7 25.7 26.6 27.2 27.3 27.3 27.3 27.3 27.8 27.8 28.4 28.4 29.0 29.0 (a) Probability…

Q: 26 - The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2…

A:

Q: The failure time, in years, of a component is a random variable with a Weibull distribution with…

A: To find: What is the probability that the component will fail within 5.8 years?

Q: Find the expected value for the random variable whose probability function graph is displayed here.…

A: Expected value : E(X) = ∑xP(x)

Q: the probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are…

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Q: Compute the mean and standard deviation of the random variable with the given discrete probability…

A: Ans - Given table     x P(x) x*P(x) x2P(x) -6 0.25 -1.5 9.0 -5 0.11 -0.55 2.75 6 0.23 1.38…

Q: 9. Find the mean, variance, and standard deviation for this discrete probability distribution. Fun…

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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.