Consider the discrete probability distribution to the right. Complete parts a and b below.a. Calculate the mean of this distribution.(Type an integer or a decimal.)b. Calculate the standard deviation of this distribution.(Round to three decimal places as needed.)MacBook AirOutcome1234Probability0.280.330.160.23Time Remaining: 01:59:17Next

Given that Probability mass function of X is X P(X = x) 1 0.28 2 0.33 3 0.16 4 0.23

Answered: consider the discrete probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. 2 5 6 7 8 D 4 0.045 0.306 P(X=x) 0.025 0.187 0.431 0.006 ... a. Find and interpret the mean of the random variable. μ= 5.947 (Round to three decimal places as needed.) Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The average number of persons in a shuttle crew is 5.947 person(s). OB. The most common number of persons in a shuttle crew is person(s). b. Obtain the standard deviation of the random variable. O (Round to three decimal places as needed.) Check answer Help me solve this View an example Get more help. 30 20 F10 F4 MacBook Air F6 DII FB Clear all DD F9
Select the statements that describe a normal distribution. Two parameters define a normal distribution—the median and the range. The density curve is symmetric and bell‑shaped. The normal distribution is a discrete distribution. The normal distribution is a continuous distribution. Approximately 5%5% of values fall more than two standard deviations from the mean. The density curve is left‑skewed.
In a statistics exam an individuals score is normally distributed with a mean of 80 and a sample standard deviation of 8 points. Assume there are 30 individuals in the class. Calculate the probability the class average is less than 78. 58% 8.5% 21% 91.5% 42%
A rental agent claims that the mean monthly rent, μ, for apartments on the east side of town is less than $650. A random sample of 10 monthly rents for apartments on the east side has a mean of $631, with a standard deviation of $24. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that μ is less than $650? State the null hypothesis H0 and the alternative hypothesis H1 Using the t-test find the value Find the p-value Using the 0.05 level of significance, can we conclude that the mean monthly rent for apartments on the east side is less than $650? Yes or no?
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 Probability 0.262 0.299 0.233 0.153 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 Probability 0.269 0.295 0.241 0.144 The variance is 1.5. (Round to one decimal place as needed.) (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The standard deviation is 1.2 (Round to one decimal place as needed.) (b) Interpret the results. 4 0.038 The mean is so the average batch of 1000 machine parts has the typical number of defects in a batch of 1000 (Round to one decimal place as needed.) 5 0.013 0 The standard deviation is SO
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.289 0.238 0.156 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) u = 24; o = 4,4 P(x 2 30) =
How many computers? In a simple random sample of 140 households, the sample mean number of personal computers was 2.72. Assume the population standard deviation is 0 = 0.95. Part: 0/4 Part 1 of 4 (a) Construct a 99.9% confidence interval for the mean number of personal computers. Round the answer to at least two decimal places. A 99.9% confidence interval for the mean number of personal computers is X <μ< 3 OC A 民□□山园 E
Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 Probability 0.057 0.124 0.164 0.178 0.210 0.128 0.086 0.053 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is so the average student is involved in (Round to one decimal place as needed.) ... The standard deviation is so the typical number of activities per student
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 3 4 Probability 0.263 0.286 0.245 0.153 0.043 0.010 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is. (Round to one decimal place as needed.)

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