Hey guys, this is the probability Assignment. Last date for submission is 10 aug...

Q1. What is the probability of picking a card that was either red or black?

Q2. A problem in statistics is given to 5 students A, B, C, D, E. Their chances of solving it are ½,1/3,1/4,1/5,1/6. What is the probability that the problem will be solved?

Q3. A person is known to hit the target in 3 out of 4 shots whereas another person is known to hit the target in 2 out of 3 shots. Find the probability that the target being hit at all when they both try?

Q4. An investment consultant predicts that the odds against price of a certain stock will go up during the next week are 2:1 and the odds in the favor of the price remaining the same are 1:3.What is the probability that the price of the stock will go down during eth next week?

Q5. A bag contains 10 White and 6 Black balls. 4 balls are successfully drawn out and not replaced. What is the probability that they are alternately of different colors?

Q6.In a multiple-choice question there are 4 alternative answers, of which one or more are correct. A candidate will get marks in the question only if he ticks all the correct answers. The candidate decides to tick answers at random. If he is allowed up to 3 chances to answer the question, find the probability that he will get marks in the question?

Q7. A and B are two independent events. The probability that both occur simultaneously is 1/6 and the probability that neither occurs is 1/3. Find the probability of occurrence of event A and B separately?

Q8. Three screws are drawn at random from a lot of 10 screws containing 4 defective. Find the probability that all the 3 screws drawn are non-defective. Assuming the screws are drawn (i) With replacement (ii) Without replacement

Q9. What is the probability that a leap year selected at random will contain 53 Sundays?

Q10. An article manufactured by a company consists of two parts A and B. In the process of...

...Worksheet 5 (Chapter 3): Probability II
Name: ______________________________________________
Section: _________________________
For any of the following questions be sure to show appropriate work and give appropriate probability
statements.
1. Students taking the Graduate Management Admissions Test (GMAT) were asked about their
undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of
their responses follows....

...positions are filled at random form the 11 finalists, what is the probability of selecting:
A: 3 females and 2 males?
B: 4 females and 1 male?
C: 5 females?
D: At least 4 females?
Problem 2
By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities:
[pic]
If a driver in this city is selected at random, what is the probability that:
A: He or...

...ProbabilityTheory and Game of Chance
Jingjing Xu
April 24, 2012
I. INTRODUCTION
Probabilitytheory is the mathematical foundation of statistics, and it can be applied to many areas requiring large data analysis. Curiously, that the study on probabilitytheory has its root in parlor games and gambling....

...t)
P (X > s + t)
P (X > t)
e−λ(s+t)
e−λt
e−λs
P (X > s)
– Example: Suppose that the amount of time one
spends in a bank is exponentially distributed with
mean 10 minutes, λ = 1/10. What is the probability that a customer will spend more than 15
minutes in the bank? What is the probability
that a customer will spend more than 15 minutes in the bank given that he is still in the bank
after 10 minutes?
Solution:
P (X > 15) = e−15λ = e−3/2 = 0.22
P (X...

...Karan negi
12.2
12.3 We use equation 2 to find out probability:
F(t)=1 – e^-Lt
1-e^-(0.4167)(10) = 0.98 almost certainty. This shows that probability of another arrival in the next 10 minutes.
Now we figure out how many customers actually arrive within those 10 minutes. If the mean is 0.4167, then
0.4167*10=4.2, and we can round that to 4.
X-axis represents minutes (0-10)
Y-axis represents number of people.
We can conclude from this chart that the...

...Probability and its Applications
Published in association with the Applied Probability Trust
Editors: S. Asmussen, J. Gani, P. Jagers, T.G. Kurtz
Probability and its Applications
Azencott et al.: Series of Irregular Observations. Forecasting and Model
Building. 1986
Bass: Diffusions and Elliptic Operators. 1997
Bass: Probabilistic Techniques in Analysis. 1995
Berglund/Gentz: Noise-Induced Phenomena in Slow-Fast Dynamical Systems:
A...

...uniformly distributed over (0, 10), calculate the probability that
a. X < 3 (Ans: 3/10)
b. X > 6 (Ans: 4/10)
c. 3 < X < 8. (Ans: 5/10)
2. Buses arrive at a specified stop at 15-minute intervals starting at 7 AM. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:30, find the probability that he waits...

...the mode of inheritance?
Probability: Probability is used to determine the chance of an outcome occurring in any one trial. It is equal to the expected proportion of an outcome in a series of events. Example: Outcome: X-bearing or Y-bearing sperm Events: All sperm in an ejaculate Trial: Fertilization of a single egg Probability: 1/2 for X, 1/2 for Y
• Law of Independence: Applies if the occurrence of an outcome in one trial does not influence...