Statistics and Probability Answers

If you are calculating the probability of being able to prevent the occurrence of an event and have already determined the following:

. Barrier 1 has a 50% chance of preventing the problem
. Barrier 2 has a 50% chance of preventing the problem
. Barrier 3 has a 75% chance of preventing the problem

What is the combined effect of all three barriers, with regard to probability of preventing the problem?

Looking at a "similarly different" problem, from the probability of occurrence of an event if:

. Barrier 1 reduces the likelihood of occurrence to 1 in 100 (0.01)
. Barrier 2 reduces the likelihood of occurrence to 1 in 1000 (0.001)
. Barrier 3 reduces the likelihood of occurrence to 1 in 10000 (0.0001)

What is the combined effect of all three barriers, with regard to probability of occurrence of the event?

From a group of 4 men and 5 women, how many committees of size 3 are possible (a) with no restrictions? (b) with 1
man and 2 women? (c) with 2 men and 1 woman if a certain man must be on the committee?

The Chocolate House specializes in hand-dipped chocolates for special
occasions. Recently, several long-time customers have complained about the
quality of the chocolates. It seems there are several partially covered chocolates
in each box. The defective chocolates should
have been caught when the boxes were
packed. The manager is wondering which of
the three packers is not doing the job properly.
Clerk 1 packs 40% of the boxes and usually
has a 2% defective rate. Clerk 2 packs 30%
with a 2.5% defective rate. Clerk 3 boxes 30%
of the chocolates and her defective rate is
1.5%. Which clerk is most likely responsible for
the boxes that raised the complaints?

In one condition they study alone, using notes they took during class lectures. In a second condition participants study in interactive groups with notes from class lectures.

a. What is the independent variable?
b. What is the dependent variable?
c. Identify the control and experimental groups.
d. Is the independent variable manipulated, or is it a participant variable?

I have two cars in my drive way. one is red and the other is green.


a) the probability that the red one is out of gas is .7. given the red one is out of gas, the probability the green one is out of gas is .6. what is the probability that both are out of gas?

b) the probablity that both cars need to be washed is .5. the probability that the red on needs washing is .7. what is the probability that the green one needs washed given the red car needs washing?

Two dice each have faces numbered 1 to 6. They are rolled together. Choose the option that gives the probability that the difference of the numbers obtained is 1.

suppose that the random variable X has a uniform distribution on interval [0,1].random variable Y has a uniform distribution on the interval [4,10].X and Y are independent.suppose a rectangle is to be constructed for which the length of two adjacent sides are X and Y.so what is the expected value of area of this rectangle?

I flip a coin 50 times.
What is the probability I get at least one run of at least 4 'heads'.
Please show me the math.

The average length of a hospital stay for all diagnoses is 4.8 days. If we assume that the lengths of hospital stays are normally distributed with a variance of 2.1, then 10% of hospital stays are longer than how many days? Thirty percent of stays are less than how many days?

Assume that the random variables X represents the number of heads that occur when a coin is tossed 4 times. Derive the probability distribution f of X