Suppose X is an outcome in throwing a fair die. Find the mean and variance
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A: Here, we are asked to find the square of a number between 1 and 1000 and look at its last digit. To…
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A: Let, X denotes the number observed.
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A: The sample size is For next situation,The sample size is The objective is to find the probability of…
Q: A spinning Merry-go-round consists of 8 different colors chairs numbered 1 to 8. When it stops, Mary…
A: Reviewing the information, X : Chair number on which Mary sits X=(1,2,3,4,5,6,7,8)
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A: The given problem can be solved using the binomial distribution. The formula of variance for…
Q: What is the variance? 3.7 4.1 3.2 4 3.8 3.6 3.7 3.4
A: Given:The data values are as follow:3.7, 4.1, 3.2, 4, 3.8, 3.6, 3.7, 3.4
Q: Given a binomial variable with a mean of 30 and a variance of 21, what is p?
A: X~Binomial(n , p) Mean=30, Variance=21
Q: It's estimated that only abe probability that only 10 pe
A: Introduction: The formula for the binomial distribution formula: P(x)=nxpxq(n-x)
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Q: Supposean individual plays a gambling game where it is possible to lose $1.00, break even, win…
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Q: If four coins are tossed simultaneously, what is the probability distribution of the random variable…
A: From the provided information, Total outcomes tossing four coins simultaneously = 42 = 16
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: 4. Assume, you throw (shot) a basketball until you make the basket r times. Assume, your chance of…
A: Consider the following notations, X=number of successesp=probability of single successq=probability…
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A: To find: a. The Probability that the factory makes at least two sales. b. The Probability that the…
Q: Give conditional variance.
A:
Q: A quality-control manager was concerned about variability in the amount of an active ingredient in…
A: Given data: Sample size = 21 To find: What is the probability that the sample variance of the amount…
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Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…
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Q: If the probability that a patient experiences postsurgical shock following a certain surgical…
A: Givenp=0.6n=12x~Binomial(n=12,p=0.6)P(X=x)=Cxn×px×(1-p)n-x ; x=0,1,...,n
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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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Q: What is the probability it will take him more than 1020 shots to hit it? f. What is the expected…
A: here given , A novice marksman is shooting at a target 1000 feet away. The probability of his…
Q: wo cards are drawn from a shuffled deck of cards. Make a probability distribution table where random…
A: Solution-: Two cards are drawn from a shuffled deck of cards. Make a probability distribution table…
Q: Kathryn has classes 4 days a week. She attends the class 4 days a week 60% of the time, 3 days 20%…
A: Given: Kathryn has classes 4 days a week. She attends the class 4 days a week 60% of the time, 3…
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: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…
Q: 2. If the mean and variance of a Binomial distribution are 9 and 6 respectively, find the number of…
A: Step 1: Start with the formulas for mean and variance of a Binomial distribution:Mean (μ) =…
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: Let Y be the number of distinct numbers showing when three fair dice are rolled. Find the pmnf and…
A: Note In question it's mentioned PMNF Which is wrong term are misspelled during typing. It's PMF.
Q: Ques 3) The probability of success of random variable X is 0.6. X follows a geometric distribution.…
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Q: You observe a sample of five numbers between 0 and 10. Their median is 5 and their mean is 5. What…
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Q: use Python or Matlab to solve the problem: A company is producing christmas light strings containing…
A: the probability that a bulb is lightning properly is 0.85.
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: 3. We throw a dice 10 times consecutively, obtaining the results: 1, 1, 1, 3, 3, 4, 4, 5, 6, 6.…
A: Given: Number of observation, n=10 Result, X 1 1 1 3 3 4 4 5 6 6
Suppose X is an outcome in throwing a fair die. Find the
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- An experiment consists of rolling a eight-side doe (numbered 1 through 8) and observing the number that appears uppermost. Find the mean and variance of this experiment.Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?Provide each answer with three decimal places of precision. What is the weighted probability of zero days of filming? What is the weighted probability of one day of filming? What is the weighted probability of two days of filming? What is the weighted probability of three days of filming? What is the weighted probability of four days of filming? What is the weighted probability of five days of filming? What is the variance?
- A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180lbs. Round your answer to four decimal places.
- You roll five fair six-sided dice. Let X denote the sum of the numbers shown. Compute the expectation and the variance of X.Let the random variable x represent the number of girls in a family of 3 children. Construct a table describing the probability distribution, then find the mean and SD. Is it unusual for a family of 3 children to consist of 3 girlsBobo, the amoeba, currently lives alone in a pond After one minute Bobo will either die, split into two amoebas, or stay the same, with equal probability. Find the variance for the number of amoebas in the bond after one minute
