7. Let X be a random variable with the following probability distribution:22/9131/27хP(X = x)8/274/9Find the mean, variance and standard deviation of x. 8. By investing in a particular stock, a person can make a profit in 1 yearof with probability 0.4 or take a loss of P1000 with probability 0.7.What is this person's expected gain?

Answered: 7. Let X be a random variable with the…

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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x; Let be a random variable from the normal distribution with 8 means, 16 variances.Let's select a subset of 25 elements from the main massthe mean of these subsets MUST BE BETWEEN 7 and 10.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
2. Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?
The probability that the standard normally distributed variable is between 1.011 and 2.8 is approximately equal to.
Suppose Y is normally distributed with mean = -3 and variance equal to 4. Find the probability that Y is less than or equal to -0.3. Hint, you must standardize the random variable. 0.9115 0.4602 0.5832 0.1
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Your income (.) per month is a Gaussian random variable with mean 2990 NIS and standard deviation 240 NIS. Your monthly expenditure (ia) also follows the Gaussian distribution with mean 2400 NIS and standard deviation 270 NIS. TABLE CTICAL VALINS TUDENS DSTRIBUTION Chi Styue atrihaxe Tali Find the probability that in a given month you will be able to save (i) at least 1000 NIS. [The answer should be a number rounded to five decimal places, don't use symbols such as %] E 明中非非

1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
Suppose you were given this Joint Probability Distribution: x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength y=number of times city name is stated 1 2 3 Marginal probability distribution of y 4 0.15 0.1 0.05 0.3 3 0.02 0.1 0.05 0.17 2 0.02 0.03 0.2 0.25 1 0.01 0.02 0.25 0.28 0.2 0.25 0.55 Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Find the conditional mean and variance of Y|3 Mean = Variance =
3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a variance of 9. Find an approximated probability that the sample mean is between 29.8 and 30.6.
• Investment in 5 Internet business ventures • The number of successful ventures has a probability distribution: x 0 1 2 3 4 5 P(x) .002 .029 .132 .309 .360 .168 • Estimate the probability that x falls within 2 standard deviations of the mean.

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7. Let X be a random variable with the following probability distribution: 1 4/9 3 1/27 P(X = x) 8/27 2/9 Find the mean, variance and standard deviation of x.