Ans:
Probability that a program need to be upgraded=7/11
Probability that a program need not to be upgraded=4/11
Use Binomial distribution with n=5 and p=4/11
P(x=k)=5Ck*(4/11)k*(7/11)5-k
where, k=0,1,2,3,4,5
Find the distribution law oi te a 6. A software package consists of 11 programs, 7...
Find the standard deviation of Pandoi vallabie 5. A software package consists of 9 programs, 4 of which must be upgraded. 3 programs are randomly chosen for testing. Construct the distribution law for the number of programs that must be upgraded among chosen.
5 A sotware package consists of 9 programs, 4 of which must be upgraded. 3 programs are randomiy dhosen for testing Construct the distribution law for the number of programs that must be upgraded among chosen. 6. The distribution law of random variable X is given 01 04 03 02 Find the variance of random variable X 7. Let X be a continuous random variable whose probability density function is: 2x3+ax2, ifx E (0; 1) if x (0;1) f(x) 0,...
2) A group of 11 professors consists of 7 women and 4 men. Find the number of ways to (4 points) a) select a committee of 4 members from the group. (6 points) b) select a committee of 5 members from the group with 3 women and 2 men.
The procedure is a sample and needs to be modified.
The software used is oracle 11g.
Provide screen shot of the program running.
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Problem 7-13 Recall the Martin-Beck Company distribution system problem shown below. Use a software package LINGO. Min 5x1u + 2x12 +3x13 +4221 3x22 + 4x23 + 9x31 732 5x33 + 104 4x42 S 10y Detroit capacity 20y Toledo capacity 30y3 Denver capacity S 40y4 Kansas City capacity K 30 - 30 - 20 St. Louis capacity Boston demand Atlanta demand Houston demand 11 + 21 + 31 +41 51 12 + 22 + 32 +42 52 rij 20 for all...
Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8 0.2 Pi Find the distribution law and variance for the random variable V-3XY 5. There are 7 white balls and 3 red balls in a box. Balls are taken from the box without return at randomm until one white ball is taken. Construct the distribution law for the number of taken balls. 6. Let X be a continuous random variable...
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Distribution Frequency of Value 1 2 3 4 8 9 10 11 5 6 7 Value of Variable Which of the following is true for the frequency distribution in the graph? The mean of this distribution is greater than the mode and the median. The median of this distribution is greater than the mean and the mode. The median, mode, and mean of the distribution are equal. None of the above
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...