4) EACH PRODUCT PRODUCED BY A FACTORYİS ENCODED İN A CATALOG AS FOLLOWS :The generated code is 7 digits.The first three digits arecreated by selecting 3 different letters from{a,b,c,d,e,f.g,h}.The last 4 digits are created by selectingdifferent digits from {1,2,3,4,5,6,7,8,9}. What are the4probability that the first letter of a randomly selectedof products encoded in this way is vowel and the lastdigit is even number?

Answered: Image /qna-images/answer/dbfe1fdc-ae0c-4bc3-9d54-8ccf9638208e.jpg

Answered: The generated code is 7 digits.The…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An integer is chosen from first 68 positive integers. Find probability that the integer is 1. divisible by 2 and it is given that the integer is not divisible by 3.
A computer system uses passwords constructed from the 26 letters (a-z, lowercase only) or 10 integers (0-9). If a 6 character password is randomly selected, find the probability that it consists only of lower case letters or contains exactly 1 lower case m.
A box contains r red balls and b blue balls. One ball is selected at random and its color is observed. The ball is then returned to the box and k additional balls of the same color are also put in the box. A second ball is then selected at random, Its color is observed & it's returned to the box together with k additional balls of the same color. Each time another ball is selected, the process is repeated. If four balls are selected, whats the probability that the first three balls will be red and the fourth be blue?
A product shipment contains 6 computer chips, of which two (2) are defective. If an inspector selects 4 chips at random for an order, without replacement, how many ways are there of picking both defective chips in this order (of 4 chips)? Order does not matter.
A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
Suppose a family uses a lock-in their home that opens by using a lock code that is a product of two numbers, one from a set, P = {2, 3, 4, 5, 9} and another from set Q = {1, 2, 6, 7}. Now consider all the possible combinations of numbers from the given two sets and find the probability that lock will open up by entering a number multiple of 6.
SOLVE STEP BY STEP IN DIGITAL FORMAT 5. An environmental verification agency performs a varification on a taxi company, inspecting 5 taxis out of 20 that the company has; if 3 or more of the inspected taxis are in poor condition, the verification fails. If of the 20 taxis that the company has, 8 are in poor condition. What is the probability that the company will pass the verification?

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