(a) What do you understand by the term probability density function? Write down an expression for a Gaussian probability density function of given mean value m and standard deviation s, and show how you would obtain the best estimate of these two quantities from a sample of population n.
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(a) What do you understand by the term
Write down an expression for a Gaussian probability density function of given
best estimate of these two quantities from a sample of population n.
Step by step
Solved in 4 steps with 1 images
- Rework problem 3 from section 4.3 of your text, involving the expected value of a given probability density function. Use the density function shown below instead of the one in your text. Value of X Probability 1 8/36 2 9/36 3 5/36 4 5/36 5 9/36 What is the expected value of this probability density function?Random Variables - Question 4 Please solve with simple probability rulesRework problem 1 of section 4.3 of your textbook, but assume that the probability density function for the random variable X is the one given in the table below: Value of X Probability 1 0.2 2 0.7 7 0.1 What is the expected value of X?E[X]=
- ▾ Part 1 This problem involves selecting books from a shelf. Assume that the shelf holds 5 short stories and 3 novels. A student selects 5 books at random. A random variable X is defined to be the number of novels selected. How many different values are possible for the random variable X? 4 ▾ Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Probability Value of X # 0 -23 1Question 5 X is a random variable and the probability density function of x is f (x) = 15 ³ for 0Given the joint probability density function of the two random variables X & Y then the variance of x = 2 0.12 0.04 0.04 1 0.08 0.19 0.05 2 0.06 0.12 0.30 O 0.128 O None O 0.224 O 0.602QUESTION5 A random variable X with probability density function fox)-1.5x2 for -1(32) answer the following, thank you!!!The probability distribution of a random variable X is shown in the following table. P(X = x) %3D 0.1 1 0.2 2 0.2 3 0.3 4 0.1 0.1 (a) Compute P(1 < X < 4). (b) Compute the mean and standard deviation of X. (Round your answers to two decimal places.) mean standard deviationGiven the discrete probability distribution shown to the right, a Calculate the oxpected value of x b Calculate the variance of x c Cakculate the standard deviation of x 75 100 125 P(x) O 0.20 0.30 0.50 a E00 =D (Type an integer or a decimal.) bo-O (Type an integer or a decimal) (Type an integer or decimal rounded to two decimal places as needed)(a) Sketch the probability mass function of X . (b) Find the mean and standard deviation of the number of pots of olives sold daily. (c) If the profit obtained from selling a pot of olives is 50p, what is the expected profit made on a single day? During a working week of 6 days?Question 5 P is a probability density function on a Sample space of (1,3,5,7) P(1) = 0.34 P(3) = 0.19 P(5)= 0.23 Find the Expected Value (aka Mean) of this probability Density Function (note part of this is finding the Probability of 7 as well)SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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