Question

For a certain problem, the probability Mike is able to solve it is 0.3, the probability Alice is able to solve it is 0.6 and the probability of Chris to solve the problem is 0.4.

a). Find the probability that the problem is solved by none of them.

b). Find the probability that Mike is the only one who solved the problem.

c) Find the probability that exactly two of them solved a problem.

Answer #1

Events A, B, and C are independent. P(A) = 0.15 P(B) = 0.3 P(C)
= 0.4
a) probability that all events occur
b) Probability that at least one occurs
c) Probability that none occurs
d) Probability that exactly one event occurs

Assume that the probability that team A score a goal in a
certain game is 0.7, the probability that team B score a goal in
the game is 0.3, and the probability that both teams score a goal
is 0.1. What is the probability that at least one of these two
teams will win the game?
Assume that the probability that team A score a goal in a
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1-The number of defective components produced by a certain
process in one day has a Poisson distribution with mean 19. Each
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a) Given that exactly 15 defective components are produced, find
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b) Find the probability that exactly 15 defective components are
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A problem in mathematics is given to three students A, B and C
whose chance of solving it are 1/2 , 1/3 ??? 1/4 . Find the
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solves the problem (iv) Any two of them solves the problem

Pleas solve this problem step by step.
In a certain hospital, 20 percent of the patient with a certain
disease underwent a drug treatment that increases the percentage
cured form 50 percent to 75 percent.
(a) Calculate the resultant percentage cured rate of
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(b) Mr. Kim is one of the patient who has been cured of the
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drug treatment?

Three tables listed below show random variables and their
probabilities. However, only one of these is actually a probability
distribution.
A
B
C
X
P(X)
X
P(X)
X
P(X)
5
0.1
5
0.1
5
0.1
10
0.3
10
0.3
10
0.3
15
0.4
15
0.4
15
0.4
20
0.2
20
0.4
20
0.6
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(Click to select) B C A
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The probability that a student studied 10 hours or more is 0.4. The
probability that a student studied 10 hours or more and got and B
is 0.25. The probability that a student got a B given that they
studied 10 hours or more is 0.625. Which of the below is true
A. Studying more than 10 hours and getting an B are mutually
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Of all the registered automobiles in a certain state, 15%
violate the state emissions standard. Twelve automobiles are
selected at random to undergo an emissions test.
a)Find the probability that exactly three of them violate the
standard
b)Find the probability that fewer than three of them violate the
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c)Find the probability that none of them violate the
standard.

Three tables listed below show random variables and their
probabilities. However, only one of these is actually a probability
distribution.
A
B
C
x
P(x)
x
P(x)
x
P(x)
25
0.1
25
0.1
25
0.1
50
0.3
50
0.3
50
0.3
75
0.4
75
0.4
75
0.4
100
0.2
100
0.4
100
0.6
a. Which of the above tables is a probability
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(Click to select)BAC
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The probability of a certain candidate to get elected is 0.4. what
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a.0.6
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c.0.2
d.0.8
A
pollster decides to find the candidates electability by conducting
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a.
no because the sample is too small, and the data is discrete.
b.
yes, because the sample size is enough, the data is
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