To fill in the blanks of the statement “If a , n and k are positive integers with n>1, an efficient way to compute ak(mod n) is to write k as a ________ and use the facts about computing products and powers modulo n .”

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step by step on Microssoft on how to put this in excel and the answers please Find binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7,…

Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than seven. When you subtract it from 1, that will give you the probability of at least eight,…

Chapter 8 Solutions

Discrete Mathematics With Applications

Ch. 8.1 - If R is a relation from A to B, xA , and yB , the...Ch. 8.1 - Prob. 2TY Ch. 8.1 - Prob. 3TY Ch. 8.1 - Prob. 4TY Ch. 8.1 - If R is a relation on a set A, the directed graph...Ch. 8.1 - As in Example 8.1.2, the congruence modulo 2...Ch. 8.1 - Prove that for all integers m and n,m-n is even...Ch. 8.1 - The congruence modulo 3 relation, T, is defined...Ch. 8.1 - Define a relation P on Z as follows: For every...Ch. 8.1 - Prob. 5ES

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To fill in the blanks of the statement “If a , n and k are positive integers with n > 1 , an efficient way to compute a k ( mod n ) is to write k as a ________ and use the facts about computing products and powers modulo n .”

Solution Summary: The author explains that when writing ak(mathrmmodn) as a sum of powers of 2 and using the facts about computing products and powers

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To fill in the blanks of the statement “If a , n and k are positive integers with n>1, an efficient way to compute ak(mod n) is to write k as a ________ and use the facts about computing products and powers modulo n .”

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Chapter 8 Solutions

To fill in the blanks of the statement “If a , n and k are positive integers with n &gt; 1 , an efficient way to compute a k ( mod n ) is to write k as a ________ and use the facts about computing products and powers modulo n .”

Solution Summary: The author explains that when writing ak(mathrmmodn) as a sum of powers of 2 and using the facts about computing products and powers

Videos

To fill in the blanks of the statement “If a , n and k are positive integers with n>1, an efficient way to compute ak(mod n) is to write k as a ________ and use the facts about computing products and powers modulo n .”

Want to see the full answer?

Chapter 8 Solutions

To fill in the blanks of the statement “If a , n and k are positive integers with n > 1 , an efficient way to compute a k ( mod n ) is to write k as a ________ and use the facts about computing products and powers modulo n .”