Find the mean of the random variable.

Q: Find the expected value of the above random variable.

A: The probability distribution is, Probability Scores 0.35 1 0.1 4 0.15 6 0.15 7 0.20 13…

Q: A roulette wheel with scores of 1 and 2 is turned twice. The probability of landing a score of 1…

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Q: How do you graphically portray the probability distribution of a discrete random variable?

A: Probability Histogram: A probability histogram is the graph of a probability distribution that gives…

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: Americans drank an average of 34 gallons of bottled water per capita in 2014. If the standard…

A: Let the random variable X denote the American drank gallons of bottled water. Given that average…

Q: How do you determine the values of a random variable?

A: A random variable is a numerical description of the outcome of a statistical experiment. A random…

Q: In 2019 about 45% of people watch over 3 hours of tv a week. Suppose 8 people were selected at…

A: It is given that n = 8 and p =0.45.

Q: What is a random variable?

A: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.…

Q: Twenty-eight percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: Solution: Let X be the number of U.S. employees who are late for work and blame oversleeping. The…

Q: d) Estimate the probability of blood type AB or Rh negative

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Q: Explain the two different types of random variables?

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Q: Find the variance of the probability distribution for the histogram shown.

A: From the given histogram we can create the probability distribution table. Xi probability, p(x)…

Q: What is a discrete random variable?

A: DISCRETE RANDOM VARIABLE →Discrete random variable is a random variable with a finite or a countable…

Q: Find the probability at least 3 children do not recognize their mother's voice. Find the probability…

A: The binomial distribution is a discrete probability distribution with parameters 'n' and 'p' where n…

Q: Calculate the mean (mu)  and variance (sigma squared) of the probability distribution

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Q: A variable that measures the count of the number of successes when only two outcomes are possible is…

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Q: The probability that a printer produces 0, 1, 2, 3, and 4 misprints are 15%, 22%, 10%, 38% and 15%,…

A: The probability that a printer produces 0, 1, 2, 3, and 4 misprints are 15%, 22%, 10%, 38% and 15%,…

Q: If X is a constant random variable and Y is any random variable. Are X and Y independent or not?…

A: Given X is a constant random variable Y is any Random variable f(x) = c f(y) = y If x and y are…

Q: construct a probability distribution for the sum shown on the faces when two dice, each with 8…

A: When two dice, with 8 faces are rolled, the sample space is given as follows: S= {(1,1), (1,2),…

Q: How do you know whether a random variable is continuous or discrete?

A: Discrete variable : It is countable. The discrete variables comes from counting number. It assumes…

Q: representing the number of even number outcome

A: We know that the  If a person tosses one die then he or she may get  S={1,2,3,4,5,6} as a sample…

Q: Find the variance of the binomial distribution for which n = 300 and p = 0.93

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Q: Define the Mean and Variance of Sums of Random Variables?

A: The mean of a random variable X is a weighted average of the possible values that the random…

Q: a) Clothes manufacturing machine, the probability of appearing damaged products is 0.02. At the…

A: Provided information is, For cloths manufacturing machine, the probability of appearing damaged…

Q: The proportion of pure gold in a certain metal sample has a bet distribution with a = 3 and B = 1.…

A: the probability that one of these samples will have more than 50% pure gold Let X be proportion of…

Q: How to find the mean of the random variable x

A: The mean of the random variable x will depend on the distribution of x. Every distribution has its…

Q: A die is tossed twice. Getting a number greater than 4' is considered a success. Find the mean and…

A: Given that  A dice tossed twice  n=2 Sample space=S={1,2,3,4,5,6} Required outcomes=(5,6) p=2/6=1/3…

Q: The variance of the difference between two independent random variables is the difference in the…

A: Given the statement " The variance of the difference between two independent random variables is the…

Q: What is the probability of landing in the shaded region?

A: In the given figure square of side length 40 ft is given, in which the circle is inscribed. Shaded…

Q: f the 20th and 60th percentiles of a normal random variables are -4.3 and 15.8, respectively. What…

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Q: Create the probability distribution for the random variable G that refers to the number of gadgets…

A: The number of values corresponding to a class or observation is defined as the frequency of that…

Q: a. Find the probability of missing 2 times before making the first basket. b. What is the expected…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The lifetime of an electronic device is modeled as an exponential random variable. If 16% of the…

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Q: What does the probability distribution of a discrete random variable tell you?

A: The discrete random variable is obtained by counting values for which there are no in-between…

Q: Yvette, the purchasing officer of a large manufacturing company, inspects ten items selected at…

A: A lot contains 50 items of which 5 items are defective. The probability of defective item (p) = 5/50…

Q: Complete the table that shows the probability and cumulative distribution function of random…

A: here use cumulative probability law that is in given scenario F(3) = f(1) +f(2)+f(3)

Q: Find his expected amount of winning.

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Q: Suppose X is an outcome in throwing a fair die. Find the mean and variance

A: Given X is an outcome in throwing a fair die and we want the mean and variance.

Q: What is the variance of the profit?

A: Here given, A contractor is considering a sale that promises a profit of ₱92 000 with a probability…

Q: ally distributed with a mean of 12 e probability that a randomly selec ces?

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: Explain what it means for two random variables to be independent, both mathematically and in…

A: In real world, we are surrounded with a lots of problems involving uncertainty. Random variables…

Q: Determine the cumulative distribution of the random variable J

A: The given probability function f(j) can be described as J -1 0 1 f(j) (-12/2)-(-1/8) = 0.625 0…

Q: find the variance of the binomial distribution for which n = 800 and p = 0.88

A: The variance of the binomial distribution is defined as: Var(X)=np(1-p)

Q: What is the shape of a χ2χ2-distribution?

A: The Chi-Square  distribution curve is skewed to the right and its shape depend on the degree of…

Q: FIND THE STANDARD DEVIATION The number of items sold per day at a retail store, with its…

A: We have the probability distribution

Q: True or false For a normally distributed random variable, P(X > µ) = .5

A: The question is based on a normal dist. Given : P ( X > μ ) = 0.5

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: Calculate the variance to try throwing a dice once?

A: Logically by a random variable, we mean a real number X associated with the outcomes of a random…

Q: Determine the standard deviation of the random variable, B(600,0.4).

A: Here we need to find the standard deviation of the given binomial random variable.

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.