ally distributed with a mean of 12 e probability that a randomly selec ces?
Q: Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean…
A: The mean is 10 and the variance is 25. The standard deviation is √variance=√25=5.
Q: Derive the mean and variance of a Student's T distribution
A: Let us assume X is a random variable following standard normal distribution and Y is a random…
Q: Table 4 is the probability table for a random variable X. Find E(X), Var(X), and the standard…
A:
Q: Suppose Y follows binomial distribution with mean =10 and variance of 7, what is the value of the…
A: We have to find out probabiity of success..
Q: need a normal probability graph n=10, p=0.5.
A: Ramdom variable x from binomial distribution with n=10 and probability p=0.5 To draw the graph by…
Q: Students mark on an exam has a normal distribution with a mean of 65 and SD 10. What is the…
A:
Q: Weights of watsathingies are normally distributed with mean u 14 kg and variance o² = 4. Find the…
A: From the given information, Consider, X be the random variable that the denotes weight…
Q: Suppose that the heights of men in the United States are normally distributed with a mean of 65.6…
A: The mean is 65.6 and the standard deviation is 2.7.
Q: .A contractor builds four-unit apartment with construction time follows a normal distribution.…
A:
Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…
A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8
Q: Find the mean and variance for the binomial distribution P=0.46 and n=25
A: Answer: From the given data, sample size(n) = 25 P = 0.46
Q: Research suggested that the distribution of amount of dissolved solids (D) at wastewater treatment…
A: D~lnNμ,σ and E(D) = 10260CV(D) = 40%
Q: 10. A study has shown 38% of adults have purchased a product online. A random sample of 250 adults…
A:
Q: Suppose in a certain primary school, the weight of boys are normally distributed with mean 28kg and…
A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…
Q: Find the mean and variance for the binomial distribution, P=0.56 and n= 8
A: Number of trials n=8 Success of probability p=0.56 X~binomial (n,p)
Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…
A: Given that, P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…
Q: Ava's morning routine is normally distributed and independent. She has been tracking her time from…
A: Let X and Y are the first and second mornings. It is given that X and Y are independent and…
Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…
A: Given Population mean = 36miles Population standard deviation =5
Q: The average length of a song in your playlist is 4.75 minutes. Assume the length of a song can be…
A: Here, the given information is- Average length of a song in your playlist is 4.75 minutes. We know…
Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.5…
A: We know that if; Y~Binomial(n,p)Then the expected value of Y is;E(Y)=npand the standard deviation of…
Q: Find the mean and variance for the Binomial distribution, P=0.36 and n = 33
A: Answer: From the given data, P = 0.36 and n = 33
Q: Suppose that the duration of the game is normally distributed. The mean= 10 mins, while the SD= 2…
A: Given, X follows normal distribution(μ,σ) mean , μ = 10standard deviation ,σ = 2
Q: Find the probability that the mean height of the sample is greater than 58 inches.
A: Assume that the height of adult females in the United States is approximately normally distributed…
Q: d. What percentage of terminals will last between 2.5 and 4.5 years? e. If the manufacturer…
A: Mean(µ) = 4 yearsStandard deviations (σ) = 10/12 = 0.83 yearX ~ N (µ, σ )= N(4, 0.83)
Q: Find the mean and variance for the binomial distribution, P=0.45 and n=12
A: Answer:- Given, Sample size, n = 12 Probability of success on a trial, p = 0.45 Using formulas,…
Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…
A: given that:- Mean, μ = 200 Standard deviation, σ = 9
Q: Derive the variance of the Student's t distribution.
A:
Q: A study of Sandhill Cranes determines that the distance they travel a day is normally distributed…
A: According to the provided information, Mean (μ) = 267 Standard Deviation (σ) = 86
Q: Given that n(A n B)=12, n(An BnC)=4, n(An C) =9, n(B n C) = 4, n(An C) = 18, n(B n C)=17, n(C) = 12,…
A: 1. 6 2. 12 3. 5 4. 9 5. 4 6. 4 7. 12 8. 3
Q: 3. Derive the variance of the F distribution.
A:
Q: If the mean and variance of a binomial distribution are 4 and 2 respectively. Find the probability…
A: Given,The mean of a binomial distribution is, np = 4The variance of a binomial distribution is,…
Q: 3. 100 students measure the height of a building (in metres). If the height is L, assume each…
A: The probability that the average of the 100 measurements is wrong by more than 0.5m is obtained…
Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…
A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…
Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…
A:
Q: 7. Let Z be a random variable with the standard normal distribution. Find the Z-score of the random…
A: Draw the normal curve and shade the area of 0.25 to the left of z.
Q: I need to find the indicated probability for a Mean of 24, an SD of 4.2. P(x > 30)
A: Given info: Here, mean is µ=24 and standard deviation is σ=4.2.
Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and…
A:
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- A population distribution has o =6. What position in this distribution is identified bya z-score = + 2.00?44. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立
- in "a" the blank is "z" and "t" distributionD5) The 3-point shooter star of your favourite team usually attempts eight 3-point shots in a basketball game. The team record shows that the shooter makes 30% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
- Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.accidents in two weeks? Q6- Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the height of maple trees at age 5 are estimated to be normally distributed with mean u cm and variance 64 cm. find u.Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
- Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the height of maple trees at age 10 are estimated to be normally distributed with mean u cm and variance 100 cm. find u.ents this quarter: The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 25.8 miles per gallon, with a standard deviation of 5.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 21 miles per gallon. 2. More than 15 miles per gallon. 3. Between 24 and 30 miles per gallon. ular paper, making sure to number each problem so I know what work goes with which problem. e sure to complete and sign the academic honesty statement for each assignment you complete this quarter. If you a nvas. Make sure to check your f6ler for legibility and completeness before unlnading* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80