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Find 𝑷(𝟐) and the value of 𝒌 in the following discrete probability distribution. Show your complete solution
x=0,1,2,3,4
p(x)=0.13,0.27,𝒌,0.09,0.12
(a) find 𝒌
(b) 𝑷(𝟐)
Solve The Differential Equation Y''+6y'+9y=16x^2
Medical aid board wants to find if the mean time to settle medical claims of members differs between 2 major medical schemes. The sample mean time to settlement was 10.8 days. Population standard deviation of 3.2 days for 1 and the other 12.4 days with population deviation 2.3 days
Formulate the null and alternative hypothesis and test this hypothesis at the 1% significance level and draw a conclusion?
What is the truth value of Ex P(×),where P(×) is the statement "x² >12" and the universe of discourse consists of the negative integers not exceeding 4?
Convert the following linear programming problem into dual
problem.
Maximise
Z = 22x1 + 25x2 +19x3
Subject to:
18x1 + 26x2 + 22x3 ≤ 350
14x1 + 18x2 + 20x3 ≥180
17x1 + 19x2 + 18x3 = 205
x1, x2, x3 ≥ 0
Maximise 1170x1 + 1110x2
Subject to: 9x1 + 5x2 ≥ 500
7x1 + 9x2 ≥ 300
5x1 + 3x2 ≤ 1500
7x1 + 9x2 ≤ 1900
2x1 + 4x2 ≤ 1000
x1, x2 ≥ 0
-Find graphically the feasible region and the optimal solution
Find the probability given the following z-scores. Use figure 1. For this activity
A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one after the other, illustrate the probability distribution of a random variable G (number of Germans) and draw the histogram.
A farmer has 800m of fencing material to be enclose a rectangular pen adjacent to a long-existing wall. He will use the wall for one side of the pen and the available fencing material for the remaining three sides. What is the maximum area that can be enclosed this way?
A commuter train carries 600 passengers each day from a town to a city. A one-way trip costs 100 per person. Market research reveals that 10 fewer people would ride the train with every 1 increase in the fare. What fare should be charged to get the largest possible revenue?
