approximate 0.954 confidence interval for u, the mean of the gamma distribution. Hint: Use the random variable (X- 43)/(432/25)/2 = 5X/23-10.
Q: et χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the…
A: Given that X2=Z12 +Z22+.....+Zdf2 is chi-square distribution random variable Where, df=4
Q: Empirical knowledge asserts that the IQ score X of people is normally distributed with mean defined…
A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be…
Q: If Z denoted the standard normal random variable, then P(-.58<Z<.23)
A: Given that Z denoted the standard normal random variable, then
Q: Let x be a random variable representing the height of mature oak trees in a forest. A friend claims…
A: given data, claim:μ=100n=16x¯=106.3s=11.8df=n-1=16-1=15p-value =?
Q: It is known that a certain basketball player will successfully make a free throw 85.13% of the time.…
A: To find the expected value (E(X)) and the standard deviation (σ) of the random variable X, which…
Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…
A:
Q: It is known that a certain lacrosse goalie will successfully make a save 85.65% of the time. Suppose…
A: We have given that a Binomial distribution with parameter p=0.8565 and n=15. The pmf of Binomial…
Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…
A:
Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…
A:
Q: For a normally distributed random variable, the population mean is 8 and population standard…
A:
Q: Let X be a random variable that represents the level of glucose in the blood (milligrams per…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Z = x-μσ~N(0,1)
Q: Calculate the mean (mu) and variance (sigma squared) of the probability distribution
A:
Q: Find the F-test statistic to test the claim that the variances of the two populations are equal.…
A:
Q: y salaries of college students in a large city are normally distributed with a mean of 990 dollars…
A: Given: μ=990, σ=45 The corresponding z score is calculated as:
Q: t is known that a certain basketball player will successfully make a free throw 90.36% of the time.…
A: Given,p=0.9036n=13Let"x" no.of free throws by the basketball…
Q: The Proportion of during the Month whith Stationary supply Sold beta random Variable a d = 4 and B=2…
A: Given: X~Beta(α=4,β=2) Formula Used: The probability density function of beta distribution is…
Q: Use this summary of table for your final answer: n Trapezoidal Rule Simpson's 1/3 Rule 4 8…
A:
Q: X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The…
A: According to the given information in this question We need to find the following probability
Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…
A:
Q: A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5.…
A: Given Mean(μ)=50standard deviation(σ)=5
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: A continuous random variable X has normal distribution with mean 29 and standard deviation 10. What…
A:
Q: It is known that a certain basketball player will successfully make a free throw 86.56% of the time.…
A: Probability distributions are of two types, discrete and continuous distributions. Binomial…
Q: It is known that a certain hockey goalie will successfully make a save 86.83% of the time. Suppose…
A: Given n=10 P=0.8683
Q: elevator that is designed to hold 4300 pounds. What is the probability that the load (total weight)…
A:
Q: A random variable follows a binomial distribution with a probability of success equal to 0.62. For a…
A: Given data, p=0.62 n=7 standard deviation σ =?
Q: Let y be a binomial random variable with n = 8 and prob of success in any one trial = 0.40. Find…
A: The objective of this question is to find the probability that a binomial random variable y is…
Q: Let X be the time taken to assemble a car in a certain plant. X is a random variable having a normal…
A: Given information: X is a random variable denoting the time taken to assemble a car in a certain…
Q: The grades for a statistics exam are normally distributed (n = 21) with a mean of 70 and a standard…
A: Given: X=Student's grades for statistics exam sample size n=21 mean of sample X¯=70 standard…
Q: If the mean number of people visiting a reservation counter is at any given hour is 6, then using…
A: Formula : poisson distribution is given by
Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…
A:
Q: Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that…
A: The question is about hypothesis testingGiven :Population mean dividend yield ( ) = 6 % Population…
Q: A random sample of size n = 16 is drawn from a normal population with a variance of 16, what is the…
A: Given that n=sample size= 16 sample variance= 16 So standard deviation=s= √16= 4 Confidence level…
Q: The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…
A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…
Q: Cars arrive at a toll booth according to a Poisson process at a mean rate of 15 cars every 30…
A:
Q: The gestation period of humans follows a normal distribution with a mean of 266 days and a standard…
A:
Q: Let X be the time taken to assemble a car in a certain plant. X is a random variable having a normal…
A: Given that X~Normal distribution. Where mean, mu= 30 And standard deviation, sigma = 4 We've to…
Q: The plasma cholesterol level (mg/dL) for patients who have not been diagnosed with heart disease and…
A: We have to find out given probability..
Q: A homeowner has installed a new energy-efficient furnace. It is estimated that over a year the new…
A: We know that if; X1,X2,...,Xn~Normal(μ,σ2), independently Then; Sn=X1+X2+...+Xn~Normal(nμ,nσ2)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 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 0.6 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 = iStanding eye heights of women normally distributed with a mean of 1516 mm and a standard deviation of 63 mm. What % of women have a standing eye height between 1420 mm and 1560 mm, and what is the probability that a group of 20 women has an average standing eye height that is less than 1500 mm? Even though the sample size is less than 30, why can the Central Limit Theorem still be applied?
- Let X be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood). The distribution of X for a healthy person is normally distributed with men u = 85 and standard deviation o = 25. A person suffers from severe excess in insulin would have a lower level of glucose. A blood test with result of X < 40 would be used as an indicator that medication is needed. (a) What is the probability that a healthy person will be suggested with medication after a single test? (b) A doctor uses the average result of 2 tests for diagnosis, that is X. The second test will be conducted one week after the first test, so that the two test results are independent. For many healthy persons, each has finished two tests, find the expectation and standard error of the distribution of X. (c) The doctor suggests medication will be given only when the average level of glucoses in the 2 blood tests is less than 40, that is X < 40, so to reduce the chance of…Weekly salaries of college students in a large city are normally distributed with a mean of 650 dollars and a standard deviation of 65 dollars.Find the probability that a randomly selected weekly salary in this distribution is less than 605 dollars. P(X < 605) =The time required to roast a duck may be taken to have a normal distribution with a mean of 45 minutes and standard deviation 12 minutes. The time required to roast a chicken may be taken to have an independent normal distribution with mean 30 minutes and standard deviation 8 minutes. Assume that the oven can only roast one poultry at one time. 0.338 One duck is chosen at random. Find the probability that at least 50 minutes will be required to roast it. (ii) Three randomly chosen ducks are roasted successively in random order. Find the probability that each of them requires more than 45 minutes to roast. 0.15
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 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 0.3 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 = !Suppose that average rainfall in your city is normally distributed, and for the past 36 months, the rainfall has been 0.5 inches per day on average with a standard deviation of 0.16. Let x be a random variable that has a normal distribution and represents the rainfall in inches per day. Using a 0.05 level of significance, you want to test the hypothesis that monthly rainfall has been 0.7 inches per day on average. What conclusion do you make from your test? Select one: a. Reject H0; the average rainfall is not 0.5 inches. b. Reject H0; the average rainfall is not 0.7 inches. c. Do not reject H0; the average rainfall is still 0.5 inches. d. Do not reject H0; the average rainfall is still 0.7 inches.Find the probability that the value of the exponential random variable with mean rate of 3.2 will be having a value lower than 0.808
- Randomly sample 256 items from a population where individuals have a normal distribution with a mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal places. 230 235 240 z = -4 z = -2 P(Z < 252.4) 245 250 z = 0 255 260 265 z = 2 270 Z =Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 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 0.5 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
