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4. (6 marks) Determine the probability that a randomly chosen 5-element subset of {1, 2, 3,...
Consider the digits {2, 3, 4, 5, 6, 7}. If 4 digits are chosen randomly and...
Consider the digits {2, 3, 4, 5, 6, 7}. If 4 digits are chosen randomly and without replacement to make a 4-digit number, how many ways can a number larger than 5400 be made?
question1: A company randomly generates 5-digit passwords for its clients. Each contains 3 unique numbers chosen...
question1: A company randomly generates 5-digit passwords for its clients. Each contains 3 unique numbers chosen from {0, 1, ..., 5} & 2 unique letters from {A, ..., G}. Determine the probability that Sally receives a password containing the letters B & E (in either order) & the numbers 2, 4, 5 (in any order). question2: With probability = .25 , two switches are selected without replacement from box A, & with probability = .75 , two switches are selected...
Four balls are to be randomly chosen from an urn containing 4 red, 5 green, and...
Four balls are to be randomly chosen from an urn containing 4 red, 5 green, and 6 blue balls. 1. Find the probability that at least one red ball is chosen? 2. Given that no red balls are chosen, what is the probability that there are exactly 2 green balls among the four balls chosen.
Question 3 The breakdown voltage of a randomly chosen diode of a certain type is normally...
Question 3 The breakdown voltage of a randomly chosen diode of a certain type is normally distributed with mean 42V and variance 2.56V. (a) Calculate the probability that the voltage of a diode is between 40V and 43V. (5 marks) Calculate the value of the voltage such that only 20% of all diodes with voltages exceeding that value. (4 marks) If five diodes are independently selected, calculate the probability that the at least one diode has a voltage exceeding 43V....
A 3-digit positive integer N is randomly chosen. Compute the probability of the event that (a)...
A 3-digit positive integer N is randomly chosen. Compute the probability of the event that (a) N is divisible by 3. (b) N is divisible by 3 if its leftmost digit is 1.
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5;...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2...
Let A = {2, 3, . . . , 50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine the sm...
Let A = {2, 3, . . . , 50}, that is, A is the set of positive
integers greater than 1 and less than 51. Determine the smallest
number x such that every subset of A having x elements contains at
least two integers that have a common divisor greater than 1, and
justify your answer.
(5 marks) Let A {2,3, ,50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine...
6. The digits 1,2,3,4 and 5 are randomly arranged to form a three-digit number. If digits...
6. The digits 1,2,3,4 and 5 are randomly arranged to form a three-digit number. If digits are not repeated, find the probability that the number is even and greater than 500? 7. A coin is tossed 10 times. Find the probability that at least one toss results in a tail. 8. A game is played using one die. If the die is rolled and shows 1,2 or 3, the player wins nothing. If the die shows 4 or 5, the...
Formulas Part 2 out of 2 What is the probability that a randomly chosen value will...
Formulas Part 2 out of 2 What is the probability that a randomly chosen value will be greater than 5 The probability that a randomly chosen value will be greater than S is Question 12 of 23 (1 poind) 6 2 Section Exercise 23-26 (cac) nonnal population has mean μ-57 and standard deriatioa σ-8. What is the S7th percentile of the pepulation? Use a T1-s4 cakulator. Kound the answer to ne decimal place The 87th percentile of the pepulation s...
Question 3 The breakdown voltage of a randomly chosen diode of a certain type is normally distributed with mean 42V and variance 2.56V. (a) Calculate the probability that the voltage of a diode is between 40V and 43V. (5 marks) Calculate the value of the voltage such that only 20% of all diodes with voltages exceeding that value. (4 marks) If five diodes are independently selected, calculate the probability that the at least one diode has a voltage exceeding 43V....
A 3-digit positive integer N is randomly chosen. Compute the probability of the event that (a) N is divisible by 3. (b) N is divisible by 3 if its leftmost digit is 1.
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2...
Let A = {2, 3, . . . , 50}, that is, A is the set of positive
integers greater than 1 and less than 51. Determine the smallest
number x such that every subset of A having x elements contains at
least two integers that have a common divisor greater than 1, and
justify your answer.
(5 marks) Let A {2,3, ,50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine...
6. The digits 1,2,3,4 and 5 are randomly arranged to form a three-digit number. If digits are not repeated, find the probability that the number is even and greater than 500? 7. A coin is tossed 10 times. Find the probability that at least one toss results in a tail. 8. A game is played using one die. If the die is rolled and shows 1,2 or 3, the player wins nothing. If the die shows 4 or 5, the...
Formulas Part 2 out of 2 What is the probability that a randomly chosen value will be greater than 5 The probability that a randomly chosen value will be greater than S is Question 12 of 23 (1 poind) 6 2 Section Exercise 23-26 (cac) nonnal population has mean μ-57 and standard deriatioa σ-8. What is the S7th percentile of the pepulation? Use a T1-s4 cakulator. Kound the answer to ne decimal place The 87th percentile of the pepulation s...
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