Question

1. Sarah is trying to break a secret code that requires six digits or letters with repetition not permitted. What is the probability that Sarah will get the code correct on her first try?

2. Can you represent the rolling of a die twenty times to count how many “ones” appear as a binomial distribution? Explain your reasoning in either case (either yes or no).

3. A soft-drink company knows that it has a 42% market share in one region of the province. Use a normal approximation to calculate the probability that fewer than 40 (in a blind taste test of 100) people will choose the company’s soft drink (in that region).

Answer 1

are letters or Solution 1 : since digits allowed total allowed characters lo digits (0-9) + 26 small letters (2-3) + 26 capital letters (A-2) 62 using Sechet code is of 6 characters. Total possible 6 characters codes 62 different characters, when repitition is not allowed 62 P 6 62x61x6x59x58857 4.4 x 1010 1 Since from 4.4x100 combinations, only is coevrect code Ist try ) Pl sarah get correct code on = 2.27 x16"! / 4.4 x 100

0.ooooooooooo27 that Sarah will get the So probability correct sechet code On fierst try almost zero