In a very large shipment of electronic devices, 5% are defective. Let X represent the number of defective devices in a random sample of 20 devices from this shipment. Which of the following expressions gives P(X>2)? (A) (0.05)²(0.95) 18 20 (B)()(0.05)* (0.95)20-* 20 (c)()(0.05)*(0.95)20-* k=3 20 (D)()(0.95)* (0.05)20-* k=3 (E) 1- 20 0.95)20-k -Σ(x) (0.05)* (0.95)² k=3
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time in months, Lk is the number of owls in the area studied, and R is the number (in thousands) of wood rats in the area studied. Suppose Lk+ 1 = (0.2)Lk + (0.6)Rk and Rk+1=(-0.1)Lk + (0.9)Rk. Determine the evolution of this system. (Give a formula for xk.) Does the owl population grow or decline? Does the wood rat population grow or decline?Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).
- In a very large shipment of electronic devices, 5% are defective. Let X represent the number of defective devices in a random sample of 20 devices from this shipment. Which of the following expressions gives P(X>2)? (A) (0.05)²(0.95) 18 20 (B)()(0.05)* (0.95)20-* 20 (c)()(0.05)*(0.95)20-* k=3 20 (D)()(0.95)* (0.05)20-* k=3 (E) 1- 20 0.95)20-k -Σ(x) (0.05)* (0.95)² k=3A company claims that the number of defective items manufactured during each run of making 100 of their products is independent of the number from other runs and that the proportion of defectives is not more than 3%. Assuming that the defective rate for each run is 3% Which of the following can be used to determine whether x = 8 is unusually a high number of defective items on the next run of 100 of their products?Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five randomly selected customers, and let x denote the number among the five who use the express checkout. (a) What is p(5), that is, P(x = 5)? (Round the answer to five decimal places.) p(5) = (b) What is P(x < 1)? (Round the answer to five decimal places.) P(x < 1) = 0.6328 (c) What is P(2 < x)? (Round the answer to five decimal places. Hint: Make use of your computation in Part (b).) P(2 < x) = 0.3672 (d) What is P(x # 5)? (Round the answer to five decimal places.) P(x + 5) = 0.7363
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- 2. p (x) = 2 x – 3 x-6 x³+9 x? + 8 x- 12, by x+ %Assume that the entire sample has 2 positive observations and 6 negatives observations. Variable X1: at the left branch has 2 positive observations and 4 negatives observations;at the right branch has 6 positive observations and 6 negatives observations. What is the information gain or reduction in uncertainty of X1 using the Gini index? (round to two decimal spaces) I am getting negative value -1.37 for this question.But information gain should be positive.3. Given p(x) = (1+ 2x)*.