STATISTICS.docx - Google Docs+A docs.google.com/document/d/1Xgqq34HC4kub_OY7HprnxliVKF2wTIZI/editeconds agoВ IU AE E11++1I 16I 77. A distribution is given with random variables X = 5, 6, 7, 8, 9. The probabilities are asfollows; P(5) =0.2, P(6)=0.25, P(7)=0.38, P(8)=0.1, P(9)=0.07.Find the mean, variance, and standard deviation of this distribution.3:20 AMP Type here to searchW36°F Mostly clear12/15/2021II!!!IIlilı

From the given information, X=5,6,7,8,9 P(5)=0.2 P(6)=0.25 P(7)=0.38 P(8)=0.1 P(9)=0.07 That is,…

Answered: 7. A distribution is given with random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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P(0)= 0.2, P(2)= 0.3, P(4)=0.3, P(6)=0.2 10. What is the variance of the probability distribution?* A. 4.5 B. 4.3 C. 4.2 D. 4.6
0.06 (i) Explain why the above table is a valid probability distribution. (ii) Determine the probability a randomly selected student learns at campus three times per week. (iii) Find the probability a randomly selected student learns at campus at least three times per week. (iv) Calculate the expected number of days per week students learn on campus. (v) By considering the table above, determine the variance of the above probability distribution. Write your answer correct to 4 decimal places. (vi) Hence, find the standard deviation of the above probability distribution. Write your answer correct to 3 decimal places.
The weights of 100 female students aged 15-20 years have a mean of 120 pounds and a standard deviation of 6 pounds. How many females weigh between 110 and 130 pounds? Approximate the number of females whose weight is below 110 pounds. What is the probability that a female student selected at random will have a weight above 140 pounds? If the coefficient of kurtosis is reported to be .893, then the distribution is ____________.
Q2 It is known that the average mark in a first-year math course exam is normally distributed with a mean of 63 and a standard deviation of 10. Using this information, find 1. The probability that the average exam mark will exceed 75. 2. The probability that the average exam mark will be less than 50. 3. The probability that the average exam mark will lie between 75 and 90. Q3 It is known that the time to failure, in years, of an electronic component is exponentially distributed with λ = 0.2. 1. What is the average time to failure, in years, of this component? 2. Calculate the probability that the time to failure of this component is between 4 and 6 years. 3. What is the expected time to failure of this component if we know it has already lasted 5 years?
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 87th percentile.
The average grade in an exam is 68 and the standard deviation is 8. A grade (C) will be given between 45% and 64% of the grades received by the students. Find the required grade for the student to get (C). (Assume that the distribution of the notes is normally distributed.)
Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y = 5X and compare to the corresponding results for X.
plovabllity distribution. i Find the expected value and the standard deviation for the distribution in (i) above. 9. A team of 3 players is to be chosen from 4 boys and 5 girls. Find the: (i) probability distribution for the number of girls in the team. (ii) expected value and the standard deviation for the distribution in (i) above. 6.
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) =
q ii and iii
Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)
The average grade in an exam is (65 + N) and the standard deviation is 8. A grade (C) will be given between 45% and 64% of the grades received by the students. Find the required grade for the student to get (C). (Assume that the distribution of the notes is normally distributed.)

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7. A distribution is given with random variables X = 5, 6, 7, 8, 9. The probabilities are as follows; P(5) =0.2, P(6)=0.25, P(7)=0.38, P(8)=0.1, P(9)=0.07. Find the mean, variance, and standard deviation of this distribution.