1. A die is tossed 7 times, find the chance that (a) all rolls show 2 or less (b) none of the rolls show 2 or less (c) not all show 2 or less 2. A coin is tossed 4 times, find the chance that (a) all rolls are Heads (b) the 1st two tosses are Head and last two are Tails (c) the 4th is a Head, given the 1st 3 are
Using a tree diagram to find the probability of an event. The solution to this problem uses the formulas for complimentary events and for intersections of events.
A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance. She used amateur golfers and amateur tennis players as participants. In her study 70% of the participants were golfers, and the other 30% were tennis players. (No participant was both a golfer and a tenn
A company has a turnover of 10% of their hourly employees annually. Thus for any hourly employee chosen at random management estimates a probability of .1 that the person will not be with the company next year. Choosing three hourly employees at randome use a Tree Diagram and show what is the probability that (1) of them wi
Between z = 0 and z = 1.57 between z = 0 -2.43 and z = 0 to the right of z = 1.82 to the left of z = -0.55 between z = 1.45 and z = 2.62 between z = -3.01 and z = -1.13
Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with
Please help with the following problems. Provide step by step calculations. A recently published study shows that a country's true unemployment rate to be 12%. Assume that 300 members of the labour force are selected at random. A) What is the expected number of people unemployed? B) What is the probability that exactly 29
The Complaints Department of a popular used car dealer receives most complaints about the electrical system, particularly the starter. The department sent questionnaires to 300 owners of two-year-old, used, full-sized vehicles. The survey showed 15% of the owners had trouble with the starter. Based on the result of the survey, w
Please help with the following problems. The manager of the local Tim Horton's found that 60% of her employees call in sick on Fridays before the long weekend. Out of a sample of ten employees, what is the probability that: A) exactly three employees will call in sick B) not more than one employee will call in sick. C)
Please help with the following problems. Harvard University published the age profile of it's first time students. A random sample of 33 students has ten students in their thirties, fifteen students in their forties, five students in their fifties, and three students in their sixties. A student is selected randomly from the
J&G Painting has hired you as a consultant. You have been gathering data on its painting speed in an effort to help the company be more accurate in submitting bids. Based on data gathered after considering washing, taping, painting, and clean up, one person can paint an average of 100 square feet of indoor wall space per hour (b
A bridge hand consists of 13 cards dealt at random from an ordinary deck of 52 playing cards. a)How many possible bridge hands are there? b) Find the probability of being dealt a bridge hand that contains exactly two of four aces. c) Find the probability of being dealt an 8-4-1 distribution, that is, eight cards of one suit,
Jill wants to do her MBA in Statistics at a B.C. university. She applies to two universities that offer post-graduate degrees in Statistics. Assume that the acceptance rate at University A is 25% and at University B is 35%. Further assume that acceptance at the two universities are independant events. A) What is the probability
Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchis
I have to create a simulation in Excel or Crystal Ball (an Excel add-in)only; no other software choices. The task is to simulate a roll of a PAIR of dice--each die having equal probabilities of outcomes: 1, 2, 3, 4, 5 or 6. Perform 50 trials of this simulation. What is the expected value of the dice roll (minimum value
Let x be a random variable with the following probability distribution: Value x of X......P(X = x) ........-1...............0.05 .........0...............0.05 .........1...............0.60 .........2...............0.05 .........3...............0.15 .........4...............0.10 Find the expectation E(X) an
Suppose that a certain college class contains 59 students. Of these, 35 are seniors, 30 are business majors, and 12 are neither. A student is selected at random from the class. a. What is the probability that the student is both a senior and a business major? b. Suppose that we are given the additional information that the s
Please help with the following problems. Provide step by step calculations. At a certain college, 51% of the students are female and 17% of the students major in civil engineering. Furthermore, 10% of the students both are female and major in civil engineering. a. What is the probability that a randomly selected female stu
This is for Quality Control Consider the xbar chart for the piston-ring example as follows, let ring diameter be normally distributed, and the sample size is n = 5. a) Find the two-sigma control limits for this chart. b) Suppose it was suggested that the two-sigma limits be used instead of the typical three-sigma limits.
Please see the attachment for the question. Let B and C be two events such that P(B) = 0.50 and P(C) = 0.05. a. Determine P(B U C), given that B and C are mutually exclusive. b. Determine P(B U C), given that B and C are independent.
Suppose that A and B are independent events such that P(A)=0.30 and P(B)=0.40. Find the following probabilities... (see attachment for full question)
The solution gives an intuitive approach to probability problems involving dice. The technique is illustrated by calculating probabilities for the game of "craps".
A popular dice game, called "craps," is played in the following manner. A player starts by rolling two dice. If the result is a 7 or 11, the player wins. If the result is 2, 3, or 12, the player loses. For any other sum appearing on the dice, the player continues to roll the dice until that outcome reoccurs (in which case th
Please see the attached file for full problem description with all proper "X" symbols. --- Can you show me how to complete this kind of problem? Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" ( ) and "boys" ( ), which we write , , etc. For ea
Problem 1 We know the IQ of people is normally distributed with mean 120 and standard deviation (SD) of 25. Calculate the probability that an adult will have a ) IQ less than 100 b) IQ greater than 150 c) IQ between 100 and 150 d) Any person with a score over 200 is considered a genius. In a population of 10000
Those who have quit smoking often return to the habit. The authors of a paper concluded that forbidding smoking in the smoker's residence was a significant predictor of the ability to abstain from smoking. They collected data, calculated statistics, and presented the following as support for their conclusion: OR=1.95 C.I.
PROBLEM 4 Out of 11 people applying for an assembly job, 3 cannot do the work. Suppose two persons will be hired. (a) How many distinct pairs are possible? (b) In how many of the pairs will 0 or 1 people not be able to do the work? (c) If two persons are chosen in a random manner, what is the probability that neither will b
PROBLEM 1 PART ONE In a shipment of 15 room air conditioners, there are 3 with defective thermostats. Two air conditioners will be selected at random and inspected one after another. Find the probability that (a) The first is defective. (b) The first is defective and the second is good. (c) Both are defective. (d) The sec
Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions: (see attachment for full question).
What is the probability that an assembly will have exactly one defect? What is the probability that it contains one or more nonconformances? How many would have a tensile strength in excess of 48 lb? What fraction of these batteries would be expected to survive beyond 1000 days?
2-17 A mechatornic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter = 0.02 a) What is the probability that an assembly will have exactly one defect? b) What is the probability that an assemb
THE PROBLEM IS ATTACHED AS MICROSOFT WORD.
A roulette wheel has 34 slots, 2 of which are green, 16 are red, and 16 are black. A successful bet on black or red doubles the money, whereas one on green fetches 30 times as much. If you play the game once by betting $2 on the black, what is the probability that: a) You will lose your $2? b) You will win $2?