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Calculating conditional probability

laila [671]

Complete Question

Calculating conditional probability

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.

Here are the results:

Bride :29

Groom :30

BOTH : 20

Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.

P (bride | groom)

Answer:

The probability is $P(B|G) = \frac{2}{3}$

Step-by-step explanation:

The sample size is $n = 80$

The friend of the groom are $G = 30$

The friend of the groom are $B = 29$

The friend of both bride and groom are $Z = 20$

The probability that a guest is a friend of the bride is mathematically represented as

$P(B) = \frac{29}{80}$

The probability that a guest is a friend of the groom is mathematically represented as

$P(G) = \frac{30}{80}$

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

$P(B \ n \ G) = \frac{20}{80}$

Now

$P(B|G)$ is mathematically represented as

$P(B|G) = \frac{P(B \ n \ G)}{P(G)}$

Substituting values

$P(B|G) = \frac{\frac{20}{80} }{\frac{30}{80} }$

$P(B|G) = \frac{2}{3}$

6 0

3 years ago

Please help whats the answer

klasskru [66]

The Answer is -12x+6

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3 years ago

Please can someone explain me this

Inga [223]

Answer:

blackness?

Step-by-step explanation:

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3 years ago

Besides a histogram what are some other ways you can display these data

GalinKa [24]

Pictograph, Bar Graph, Circle Graph, Line Graph, Stem-and-Leaf Plot, Box-and-Whisker Plot, Line Plot, and Scatter Plot. Hope this helps, I'm learning the same thing right now test tomorrow thanks for the practice!

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3 years ago

Do nematodes have a fixed cell number?

Aleksandr [31]

In nematodes cell divisions case near the end of embryonic development so that the number of the cells of the adult is constant.

What to you mean by eutely?

When eutelic organisms mature, they have a fixed number of somatic cells; the precise amount varies little depending on the species. Cell constancy is another name for this phenomena. Cell expansion is the only method of growth after development has reached maturity. Autetic growth is the term for this growth. Members of the phylum Aschelminthes demonstrate this. Sometimes an organism as a whole lacks eutelic characteristics, but certain parts do.

Eutely occurs when the initial embryonic cells each come with a limit for total divisions. After this limit is reached, the organism can only become larger due to cell enlargement rather than cell division. Eutelic organisms have a fixed number of somatic cells when they reach maturity, the exact number being constant for any one species. Development proceeds by cell division until maturity; further growth occurs via cell enlargement only. In nematodes, the number of nuclei is also constant; there is growth in size of the body but this is due to the growth in the size of the cells (hypertrophy). Most eutelic organisms are microscopic. Examples include the rotifers, many species of nematodes, tardigrades, larvacea and dicyemida.

Learn more about eutely link below

brainly.com/question/25939248

#SPJ1

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