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Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes
Question 2 An insurance company has discovered that only about 0.1% of the population is involved in a certain type of accident each year. If its 10000 policy holders were randomly selected from the population, what is the probability that not more than 5 of its clients are involved in such an accident next year?
Question 3 Briefly explain Markov chains
1. A rectangular piece of cardboard measuring 15 inches by 24 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side
-15divided by(-1_-4
Find the derivatives of the following functions a) y = 5x 4 +3x -1-x 3 b) y = (x+1) -1/2 c) y= e x2+1 d) y= e 3x lnx e) y =ln(x+1/x)y
The following exercises may help you to look more closely at the activities done above. E1) Why did the two dice game become more difficult? E2) Do you find the activities in
Evaluate the volume and surface area of a rectangular solid: Calculate the volume & surface area of a rectangular solid along with a = 3", b = 4", & c = 5". Solution:
It's now time to do solving systems of differential equations. We've noticed that solutions to the system, x?' = A x? It will be the form of, x? = ?h e l t Here l and
A juicer is available for 3500 cash but was sold under installment plan where the purchaser agreed to pay 1500 cash down and 3 equal quarterly installments. If the dealer charges i
The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?
Average cost function : Now let's turn our attention to the average cost function. If C ( x ) is the cost function for some of the item then the average cost function is,
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
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