The following shows a probability distribution for amounts donated in a recent fund drive by the Charleston Food Bank:
Amount is $ Probability
5 .3
10 .4
15 .15
20 .13
25 .02
a.) Find the mean for this probability distribution
b.) Find the standard deviation for this distribution
The following shows a probability distribution for amounts donated in a recent fund drive by the...
The table shows the distribution of household sizes in the United States for a recent year. x 1 2 3 4 5 6 7 P(x) 0.281 0.340 0.154 0.129 0.060 0.022 0.013 Find: a)The mean b)The variance c) The Standard deviation D) the expected value
The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $145 and a standard deviation of $36. Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be between $137 and $150. Round your answer to four decimal places.
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a value selected at random from this distribution is greater than 25? (Round your answer to two decimal places.) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.9; σ = 3.5 P(10 ≤ x ≤ 26) = Need Help? Read It Assume that x has a...
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
1) The following histogram shows the distribution of the amount of money spent on a haircut by a Math 119 class: o.1 If the mean was $33 with a standard deviation $38, can the CLT for sample means be used if we obtained 20 random Math 119 students? How about if we obtained 50? a) b) Suppose we obtained 100 random Math 119 students. Use the CLT for sample means to find the probability that the sample mean of the...
1) A sample of size 25 is chosen from a population. Assume the probability distribution is normal. If the mean of the sample is 80 and the standard deviation is 6, find the lower bound of the 99% confidence interval. Round off to three decimal places. 2) A sample of size 36 is chosen from a population. The sample mean is 50 and the standard deviation is 5. Find the upper limit of the 95% confidence interval for the population...
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...
The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes. a. What is the probability that the arrival time between customers will be 6 minutes or less? b. What is the probability that the arrival time between customers will be between 4 and 8 minutes?
Consider the probability distribution of the weekly demand for copier paper (in hundreds of reams) used in a corporation's duplicating center, as shown in the file P04_27.xlsx. a. Use simulation to generate 500 values of this random variable. Calculate the mean and standard deviation of the given distribution. (Round your answers to two decimal places.) Mean Standard Deviation b. Find the mean and standard deviation of the simulated values. (Round your answers to two decimal places.) Mean Standard Deviation c....
1) a) The following distribution shows the number of cars sold each month by a garage over a period of 3 years: 8 9 10 11 12 13 14 15 Number of cars (x) Number of months (f) 1 4 5 8 5 4 5 4 State whether the variable measured is continuous or discrete and find the mode, the mean and the median. (6 marks) b) The weight (in kg) of 40 patients of the Berkshire Hospital are summarised...