
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Hello. Please create a Python Program that solves the following Probability question (Answer to question is in the other Pic). Please Only Give a Screenshot of your Online Code & Result. Please Do Not Give Typed Text.
* If you can do this, I will definitely give you a thumbs up. Thank you!

Transcribed Image Text:Question - Make a Python Program That Solves the Following
Probability Problem (Answer to Problem in Next Picture):
In each of 4 races, the Democrats have a 60% chance of
winning. Assuming that the races are independent of each
other, what is the probability that:
a. The Democrats will win 0 races, 1 race, 2 races, 3
races, or all 4 races?
b. The Democrats will win at least 1 race
c. The Democrats will win a majority of the races
SOLUTION. Let X equal the number of races the
Democrats win.
** Use Binomial Distribution **
* Please only give a Screenshot of your Online Code and Result,
Please Do Not Give Typed Text. I will make sure to give a
Thumbs Up, if u can do this. Thank you.

Transcribed Image Text:EXAMPLE. In each of 4 races, the Democrats have a 60% chance of winning. Assuming that
the races are independent of each other, what is the probability that:
The Democrats will win 0 races, 1 race, 2 races, 3 races, or all 4 races?
The Democrats will win at least 1 race
a.
b.
C.
The Democrats will win a majority of the races
SOLUTION. Let X equal the number of races the Democrats win.
a.
Using the formula for the binomial distribution,
(p'q"
4!
0!(4-0)!
.60°.40* = .40* = .0256,
O p q
4!
··60'.40³ = 4*.60*.40³ = .1536,
1!(4-1)!
b.
(3) p² q =
(3 p q
4!
·60².40²=6*.60².40² = .3456,
2!(4-2)!
=
4!
·60³.40'=4*.60³.40' = .3456,
3!(4-3)!
4!
=
.60*.40°= .60*=.1296
4!(4-4)!
P(at least 1) = P(X ≥ 1) = 1 - P(none) = 1 - P(0) = .9744. Or, P(1) + P(2) + P(3) + P(4) = .9744.
C.
P(Democrats will win a majority) = P(X ≥ 3) = P(3) + P(4) = .3456 + .1296 = .4752.
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