In a factory for the production of transistors there are five

lines of production so that produces these lines are equal to

gather. The ratio of defected switches in the production of

these lines is 0.03 , 0.04, 0.01, 0.02 and 0.01 respectively, and

required the following:

a We draw a transistor of the total production of the factory,

what is the probability that this transistor is defected ?

b If we have found that the drawn transistor is not defected,

what is the probability that this drawn transistor from the

first line of factory ?

Question

a) A descriptive statistics table and correlation matrix for manufacturing growth and the predictor growth variables. Note the simple relationships between manufacturing growth and the predictor growth variables. In addition, discuss the importance of multicollinearity and use the VIF to test for multicollinearity.

b. A multiple regression analysis of manufacturing growth on the predictor growth variables.

Remove any nonsignificant predictor variables, one at a time, from the regression model. Indicate

your best final model and discuss.

(ii). Interpret the meaning of the slopes in this equation.

(iii). Perform a residual analysis of the results and determine whether the regression assumptions

are valid.

(iv). Determine whether there is a significant relationship between manufacturing growth and the

two independent variables (agricultural growth and exports growth) at the 0.05 level of significance.

(v). Determine the p-value in the residual (iii) and interpret its meaning.

(vi). Interpret the meaning of the coefficient of multiple determination in this problem.

(vii). Determine the adjusted R2

(viii). At the 0.05 level of significance, determine whether each independent variable makes a

significant contribution to the regression model. Indicate the most appropriate regression model for

this set of data.

(ix). Determine the p-values in (i) and interpret their meaning

(x). Construct a 95% confidence interval estimate of the population slope between manufacturing growth and export growth.

c. State the conclusions from your analysis and discuss the conditional importance of the variables in

terms of their relationship to manufacturing growth.

Q3. A construction company includes 6 civil engineers, 5 mechanical engineers and 4 electrical engineers. A committee responsible for overseeing the implementation of a construction project must he formed consisting of 3 civil, 2 mechanical and 2 electrical engineers. Determine the number of possible ways to form this committee for the following cases: (12 Marks) A. Any civil, mechanical and electrical engineers can be selected to form this committee. B. One particular civil engineer and one particular electrical engineer should be selected as they have the necessary qualications. C. One particular mechanical engineer should not be selected as there is a shortage in the relevant experience. BAD NINEAM IN PACMANLITY THEORY AND STATISTICS Variant 8 In x be a sootmous faxdon variable whose cumulative distribution function is: F(1). Food the probability dusty function: 7) the expected value for the random variable 3. The moon variable has Normal distribution with the mean value 7 and the where & Campube the probability that the variable X takes value from the interval 3. Toy Independent maidon vanables X and Y are given with their distribution laws 1 3 10.5 0.5 0.2 Find he osh tutor kia and standard deviation of the random vanablez =1. Consider a snow-covered surface. Assume that the amount of solar radiation that reaches the top of the atmosphere is 1367 Wm-2. Given that 50% of this solar radiation is either absorbed in the atmosphere or reflected by clouds before reaching the snow covered surface, how much of the original shortwave radiation is absorbed by the snow? 2. What is meant by "anthropogenic greenhouse gases"? 3. Why do scientists believe extremes of weather are becoming more common? Provide statistical/data evidence to support your argument. 4. Define anomaly in your own words. What does it mean to be different than average? 5. You are required to write about 200 word synopsis of a recent news article on weather or climate change1. [5 pts] Suppose the universe consisted of a random, statistically uniform, distribution of stars in space, all identical to the Sun, with radius R = R9 = T x 101:} cm, and a space density' of n = 1pc'3. Olber's paradox states that, if such a universe were innitely old, the surface brightness of the sky (energy,r received per unit time, per unit area, from unit solid angle on the sky] as seen by an observer on Earth would he innitelyF large