- May 26, 2009 · i need some serious help in my math. please don't just give answers but explain as well. here's the question: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisible by 4 or is greater than 25 and less than 30.
- What is the probability that it is a non-defective bulb? Q18. 17 cards numbered 1,2,3…,17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is: (i) odd ii) a prime (iii) divisible by 3 (iv) divisible by 3 and 2 both Q19. A bag contains 5 red balls, 8 white balls, 4 ...

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- Q. Find the probability that a randomly chosen point in the figure lies in the shaded region. ... Find the theoretical probability of picking a number divisible by 5 ...
- *By Theorem 9.1.1 the total number of integers from 100 through 999 is 999 − 100 + 1 = 900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5.

*By Theorem 9.1.1 the total number of integers from 100 through 999 is 999 − 100 + 1 = 900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5.

There are floor(40/8) = 5) integers in the range that are divisible by 8. One of those, 24, is divisible by both 6 and 8, so is counted twice. Then the number of unique numbers 1 to 40 that are divisible by 6 or 8 is ... 6 + 5 - 1 = 10. The probability of selecting one of those at random is ... 10/40 = 1/4

Apr 02, 2020 · (v) a number less than 8 (vi) a number divisible by 3 (vii) a number between 3 and 6 (viii) a number divisible by 2 or 3. Answer 17. A die is thrown and on its faces, numbers 1 to 6 are written. Total numbers of possible outcomes = 6 (i) Probability of an odd number, odd number are 1, 3 and 5 P(E) = = = (ii) A number less them 5 are 1, 2, 3, 4

A number is divisible by 3 when sum of its digits is divisible by 3. Here, sum of digits = 4 + 3 + 5 + 6 + 7 + X = 25 + X. So, X can be 2, 5, 8 which gives the sum 27, 30 and 33 respectively. Therefore, X has 3 values here, for which the number is divisible by 3. So, the answer is option 4.

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A number is chosen at random from the first 1,000 positive integers. What is the probability that it's divisible by 3,5, or 7? So I started off by breaking the problem up and having: divisible by 3: p(a) divisible by 5: p(b) divisible by 7 p(c)

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Probability Exam Questions with Solutions by Henk Tijms1 December 15, 2013 This note gives a large number of exam problems for a ﬁrst course in prob-ability. Fully worked-out solutions of these problems are also given, but of course you should ﬁrst try to solve the problems on your own! c 2013 by Henk Tijms, Vrije University, Amsterdam.

A number is divisible by 3 when sum of its digits is divisible by 3. Here, sum of digits = 4 + 3 + 5 + 6 + 7 + X = 25 + X. So, X can be 2, 5, 8 which gives the sum 27, 30 and 33 respectively. Therefore, X has 3 values here, for which the number is divisible by 3. So, the answer is option 4.

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Chapter 4 Discrete Random Variables. It is often the case that a number is naturally associated to the outcome of a random experiment: the number of boys in a three-child family, the number of defective light bulbs in a case of 100 bulbs, the length of time until the next customer arrives at the drive-through window at a bank.

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By Theorem 9.1.1 the total number of integers from 100 through 999 is 999 – 100 + 1 = 900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5. cont’d

= 8/25 The probability that they number chosen is a square number or a factor of 8 is 8/25. 0.0 0 votes 0 votes Rate! Rate! Thanks Comments; Report

x f(x)=1, where the summationextends over all the values within its domain 1.5. Examples of probability mass functions. 1.5.1. Example 1. Find a formula for the probability distribution of the total number of heads ob-tained in four tossesof a balanced coin. The samplespace, probabilities and the value of the random variable are given in table 1.

If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form $7^{m}+7^{n}$ is divisible by 5 is

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Mar 12, 2015 · A number is chosen at random from the set of integers { 1, 2,.... 200). What is the probabilitythat it is divisible by 3 or 5 (i.e., either 3 or 5 or both)? 1 answer

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the probability of not selecting a person with blood type B + . Blood Type O + O - A + A - B + B - AB + AB - Number 37 6 34 6 10 2 4 1 8) The distribution of Master's degrees conferred by a university is listed in the table. Major Frequency Mathematics 216 English 207 Engineering 63 Business 176 Education 222 Q. Find the probability that a randomly chosen point in the figure lies in the shaded region. ... Find the theoretical probability of picking a number divisible by 5 ...

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= = = (0.8) = Probability that not all 20 graduate: P(X < 20) =1( − PX = 2)0 = 0.9885 [1 − binomialpdf(20, .8,20)] 8.13 HISPANIC REPRESENTATION A factory employs several thousand workers, of whom 30% are Hispanic. If the 15 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the ...

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To find the possibility of the number not divisible by 8, Probability of an integer it is not divisible by 8, By formula, P(E') = 1 - P(E) 1 - 6/49 = (49 - 6)/49 Hence, P(integer not divisible by 8) = 43/49Given: An integer is chosen between 1 and 100. Numbers that are divisible by 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 and 96.

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Because probability is a proper fraction, its value must range from 0 to 1, or as a percentage, from 0% to 100%. 1 2 0 impossible certain no way not likely even chance almost definitely must happen Example 2 A die is rolled. Find the probability that the number rolled is: a divisible by 3 b a factor of 6, as a decimal

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Jul 11, 2019 · In a single throw of a die, find the probability of getting: (i) an odd number (ii) a number less than 5 (iii) a number greater than 5 (iv) a prime number (v) a number less than 8 (vi) a number divisible by 3 (vii) a number between 3 and 6 (viii) a number divisible by 2 or 3. Solution:

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A Poisson probability distribution of a discrete random variable gives the probability of a number of events occurring in a fixed interval of time or space, if these events happen at a known average rate and independently of the time since the last event. The Poisson distribution may be used to approximate the binomial, if the probability of ...

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= 8/25 The probability that they number chosen is a square number or a factor of 8 is 8/25. 0.0 0 votes 0 votes Rate! Rate! Thanks Comments; Report

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To find the possibility of the number not divisible by 8, Probability of an integer it is not divisible by 8, By formula, P(E') = 1 - P(E) 1 - 6/49 = (49 - 6)/49 Hence, P(integer not divisible by 8) = 43/49Given: An integer is chosen between 1 and 100. Numbers that are divisible by 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 and 96.

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In this problem, the total number of possibilities is 20, so n = 20.The set of prime numbers from 1 to 20 = {2, 3, 5, 7, 11, 13, 17, 19}, so f = 8Probability = f/n = 8/20 = 0.4.You have a 2 in 5 ... It's a matter of converting between a fraction and a percentage. Remember that the word 'percent' really means 'per hundred'. (and you are in fact converting from dollars to cents and back) So if you have a probability of #0.11# you can rewrite this as #0.11=11/100=11%# (or #$0.11=11 cents#)

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What is distance between the two stations. 1. 300 2. 310 3. 320 4. 305. Answer: 1. Question 11: The average between a two digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number? 1. 8 2. 2 3. 5 4. Cannot be determined. Answer: 4.

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Let k = 1, 2, 3, ... and select the first value that gives x as an integer. k = 6 gives x = 1 Find y using the equation y = 9 - x = 8 The number we are looking for is 18 and the answer is D. It is divisible by 3 and the sum of its digits is equal to 9 and it is the smallest and positive whole number with such properties. Question 7:

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