Question

which probability distribution table corresponds with this frequency distribution table?

x	1	2	3	4	5
f	4	6	1	4	5

o | x | 1 | 2 | 3 | 4 | 5 |

p

0.4

0.6

0.1

0.4

0.5

o | x | 1 | 2 | 3 | 4 | 5 |

p

0.2

0.3

0.05

0.2

0.25

o | x | 1 | 2 | 3 | 4 | 5 |

p

0.2

0.2

0.2

0.2

0.2

o | x | 1 | 2 | 3 | 4 | 5 |

p

2

3

0.5

2

2.5

Explanation:

Step1: Calculate total frequency

$4 + 6+1 + 4+5=20$

Step2: Calculate probabilities for each $x$ - value

For $x = 1$: $P(1)=\frac{4}{20}=0.2$
For $x = 2$: $P(2)=\frac{6}{20}=0.3$
For $x = 3$: $P(3)=\frac{1}{20}=0.05$
For $x = 4$: $P(4)=\frac{4}{20}=0.2$
For $x = 5$: $P(5)=\frac{5}{20}=0.25$

Answer:

The second probability - distribution table (with $P$ values $0.2, 0.3, 0.05, 0.2, 0.25$ for $x = 1,2,3,4,5$ respectively)