Complete the following probability distribution table: Probability Distribution Table P(X) 0.3 16 24 0.2 34 0.3 Submit Question
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
![A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first
investment, a software company, has a 14% chance of returning $8,000,000 profit, a 42% chance of
returning $1,000,000 profit, and a 44% chance of losing the million dollars. The second company, a
hardware company, has a 8% chance of returning $11,000,000 profit, a 44% chance of returning $3,000,000
profit, and a 48% chance of losing the million dollars. The third company, a biotech firm, has a 8% chance
of returning $6,000,000 profit, a 29% of no profit or loss, and a 63% chance of losing the million dollars.
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Order the expected values from smallest to largest.
O first, second, third
O third, second, first
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O third, first, second
O second, first, third
second, third, first
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O first, third, second
Hint:
Hint
8.jpe
Video on Expected Value [+]
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69.jpe
17,172
5
8
NOV
17
S Ctv
étv
W
MacBook Air
DII
DD
80
000
000
F9
F10
F7
F8
F5
F6
F4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F989f3804-21ca-49de-b68d-d803cbef5906%2Fd30d9dd6-5df3-4e18-ae2b-02b602c336be%2Fg35777d_processed.jpeg&w=3840&q=75)
Given
Probability distribution table
| X | P(X) |
| 5 | 0.3 |
| 16 | |
| 24 | 0.2 |
| 34 | 0.3 |
We know that sum of probability is equal to 1
P(x=5) +P(x=16) +P(x=24) +P(x=34) = 1
let P(x=16) = x
0.3 +x+0.2+0.3 = 1
x + 0.8 = 1
x = 0.2
Therefore, P(X = 16) = 0.2
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