(a) A small car repair company has, on average, eight customers per day. Consider thenumber of new customers the company gets in a week (they are open Monday -Saturday).(1) What probability model is appropriate for modelling the number of customers per week,and what value(s) should the parameter(s) have?(i) What is the probability of getting exactly 50 customers this week? (You don't need tosimplify your answer.)(ii) The gap between customers (the length of time between one customer arriving andthe next customer arriving) can be modelled as an exponential random variable withparameter value i = 1 hour. One customer just arrived. What is the probability of thenext customer arriving in the next 30 minutes? (You don't need to simplify youranswer.)

Here Arrival rate for particular time period is constant Per Day no of customers arrives are 8 And…

Answered: (1) What probability model is…

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...

See similar textbooks

Similar questions

3. Your roommate thinks that, because you're an ECE major, it's your job to change light bulbs. You buy a bulb. Its average lifetime is rated for 10 years. Model the actual lifetime L as an exponential random variable. (a) What is the probability that it will last longer than 5 years, i.e. P(L 2 5)? (b) After 2 years, it still hasn't burned out. Given that, what is the probability that it will last 5 years beyond that, i.e. P(L 2 2+5|L 2 2)? Compare your answers in (a) and (b) and explain why they support (c). callıng the exponential R.V. "memoryless".
Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about 10% of the time, while the non salty outgoing tides occurs twice per day. You take your dog for a walk down by the river at random during the weekend and notice that he'll drink from the river 30% of the time when the salt is sufficiently low. Question Given that the overall probability of rain remains 10 % what is the probability of rain during a non tide period?
(a) The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the P&S exam in a class of 7 students.
What do you mean by dependent and independent events? Fit one simple real-life example, which really reflect the concepts of dependent and independent events.
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
Can you please help me understand the process of solving this question?
(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?
Does this answer look like I calculated correctly. The question is in a certain population of women 4% have had breast CA, 20% are smokers, and 3% are smokers and have had breast CA. A woman is selected at random from the population. What is the probability that she has had breast CA or smokes or both.
Overall, Steve Dalkowski throws a strike with 17% of his pitches (that is, the probability that he throws a strike with any given pitch is .17). (a) In one game, Dalkowski throws 240 pitches. What is the probability that he throws exactly 40 strikes? (b) In one week, Dalkowski throws 400 pitches. What is the probability that he throws 80 or more strikes? Every day for eternity Dalkowski throws 100 pitches, and records the number of strikes. (c) Find the mean µ, and the standard deviation o, of the numbers (of strikes thrown on different days) that Dalkowski records.
A disease affects 1 out of 10,000 people. There is a test to check whether a person has the disease. The test is accurate. In particular, we know the following: (a) The probability that the test result is positive given that the person does not have the disease, is only 2 percent. (b) The probability that the test result is negative given that the person has the disease, is only 1 percent. Question: A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
New spark plugs have just been installed in a small airplane with a two-cylinder engine. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/1,000, independent of the other spark plugs.(a) What is the probability that none of the two spark plugs will fail during the first 20 minutes of flight? (Round your answer to four decimal places.)(b) What is the probability that at least one of the spark plugs will fail? (Round your answer to four decimal places.)
Expatiate your idea about probability with particular example. You should forward your idea such a way that you are delivering a formal lecture in front of students of class ten.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS