1. Twenty cars were examined fi defective surface coating. The frequency of the number of cars with agiven number of defective sıxface coating per were was as follows:Number of Defective Sarface Coating, n3124Frequency, f435411Total Number of Defective Surface Coating, (n-f)310616If a car is chosen at random, what is the probability that a car has 3 or moredefective surface coating? *Hint: Take note for the higher limit of defective surface coating you'llbe using.2. If electricity power failures occur according to a Poisson distribution with anaverage of 5 failures every 20 weeks, calculate the probability that there will not bemore than one failure during a particular week.55lo

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. Dr. Xyz claims that the average salary of workers in Jones is P35,000. A random sample of 100 workers are found that their mean salary is P40,000. H, H,: EXPLANATION :
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
6. Three out of eight BS in Business Administration graduates are in banking industry. If 600 BS in Business Administration graduates are randomly selected, find the probability that 190 or less are in banking industry? Solution: nq =
6. Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the probability distribution of X.
2) A machine that fills boxes of cereal underfills a certain proportion p. If 25 boxes are randomly selected from the output of this machine. Find the probabilitythat no more than two are underfilled when a) p = 0.1 b) p = 0.2
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 9 passengers per minute. A. Compute the probability of no arrivals in a one-minute period (to 4 decimals) B. Compute the probability that three or fewer passengers arrive on a one-minute peruod (4 decimal) C. Compute the probability of no arrivals in a 15-second peruod (to 4 decimal) D. Compute the probability of at least one arrival in a 15-second period (to 4 decimals) Thank you
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
10. In a survey carried out it is found that 25% of the students in Uni Razak have Ducati monster 795. a. If 10 students are chosen at random find the probability that half of them have Ducati monster 795 b. If there are 3 000 students find the mean and standard deviation of students whom have Ducati monster 795

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