Question

A random experiment has four outcomes, A, B C and D, with

probabilities a,b, c and d , where d=1-a-b-c >0 and a>0,
b>0, C>0

What is the probability that, in a sequence of independent
performances of the

experiment, A will occur before D.

Answer #1

Here we have to find the probability that experiment A will occur before D.

that means in first chance, A will come or if B or C comes than A shall come in second chance and so on

P(A will occur Before D) = P(A comes first) + P(B or C comes first and A comes second) + P(B or C somes in first two chances and then A comes in third chance) + so on

= a + (b + c) a + (b + c)^{2}a + (b + c)^{3}
a

= a [1 + (b + c) + (b + c)^{2} + ..........]

= a [1/(1 - b -c)]

= a/(1 - b - c)

= a/(d +a)

The outcomes of an experiment are 0, 1, and 2, and they occur
with probabilities p0, p1, and p2, respectively, where p0 + p1 + p2
= 1. Suppose that N independent trials of this experiment are
performed. What is the probability that outcomes 1 and 2 both occur
at least once in the N trials?

A random experiment has sample space S = {a, b, c, d}. Suppose
that P({c, d}) = 3/8, P({b, c}) = 6/8, and P({d}) = 1/8. Use the
axioms of probability to find the probabilities of the elementary
events.

Probability
1. a. What are the possible outcomes of an experiment
involving the roll of a six-sided die?
b. Develop a probability distribution for the number of
possible spots
c. Portray the probability distribution graphically
d. What is the sum of the probabilities?

In an experiment, there are n independent trials. For
each trial, there are three outcomes, A, B, and C. For each trial,
the probability of outcome A is 0.20; the probability of outcome B
is 0.30; and the probability of outcome C is 0.50. Suppose there
are 10 trials.
(a) Can we use the binomial experiment model to determine the
probability of four outcomes of type A, five of type B, and one of
type C? Explain.
No. A binomial...

In an experiment, there are n independent trials. For
each trial, there are three outcomes, A, B, and C. For each trial,
the probability of outcome A is 0.10; the probability of outcome B
is 0.60; and the probability of outcome C is 0.30. Suppose there
are 10 trials.
(a) Can we use the binomial experiment model to determine the
probability of four outcomes of type A, five of type B, and one of
type C? Explain.
No. A binomial...

The outcomes of an experiment, along with the corresponding
probabilities are given below. Find the expected value of the
experiment.
Outcome Probability
4 0.2
2 0.3
0 0.25
-1 0.1
-5 0.15
A computer repair shop estimates that there is a 0.4 probability
that the next computer will require 30 minutes to fix, a 0.5
probability that it will require 45 minutes to fix, and a 0.1
probability that it will require 70 minutes to fix. What is the
expected...

An experiment has four outcomes with values and probability
distribution give in the following table.
i
1
2
3
4
Value xi
4
6
10
12
Probability Pr(xi)
.1
.2
.3
.4
(a) What is the expected value?
(b) What is the standard deviation?

If a probablistic experiment has two possible outcomes, we know
that
a. each outcome is equally likely
b. the probability of each outcome is determined by the binomial
formula
c. the outcomes are independent
d. the outcomes are mutually exclusive
e. none of the above

. A statistical experiment has ten equally likely
outcomes that are denoted by 1, 2, 3, 4, 5, 6, 7, 8, 9, and
10. Let event A = {3, 4, 6, 9} and event B = {1, 2, 5}.
Use probabilities to answer the following questions
Are events A and B mutually exclusive?
Are events A and B independent?
What are the complements of events A and B and their
probabilities?

events a,b, and c occur with respective probabilities 0.48,
0.46, and 0.24. event b is independent of the events a and c. event
b is also independent of the joint occurrence of a and c. if the
probability of the event a∩c is 0.19, compute the probability of
the event a ∪c U b.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 5 minutes ago

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago