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3 years ago

When can a probability tree diagram be useful?

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

A tree diagram allows you to show how each possible outcome of one event affects the probabilities of the other events.

ipn [44]3 years ago

5 0

Shows each possible outcome

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Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born

NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

$p = \frac{31}{365} = 0.0849$

Group of 20 friends:

This means that $n = 20$

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773$

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0

3 years ago

What is the remainder for 89,736 divided by 40?

tigry1 [53]

Answer: 2,243.4

Step-by-step explanation:

7 0

3 years ago

Malik grills a steak 45 minutes longer than he grills a serving of fish. The fish takes twice as long as the asparagus to grill.

stellarik [79]

Vasellasar26,

Penso che tu parli italiano, quindi ecco la risposta alla domanda in italiano. Malik griglia una bistecca 45 minuti in più rispetto a u.na porzione di pesce. Il pesce impiega il doppio del tempo per grigliare gli asparagi. Malik griglia i pomodori tagliati a metà per 3 minuti, che è 3 minuti in più rispetto a quando griglia gli asparagi. 3 33 Questa domanda è composta da 3 parti. Assicurati di completare tutte le parti. A Indicazioni: digita la tua risposta nella casella. Scrivi un'espressione che rappresenti il tempo durante il quale Malik griglia la bistecca se gli asparagi grigliano x minuti.

3 0

2 years ago

simplify, 6+3-3-3-3-3-21-5-5234-534-5-4-4-3-43-3-443--4-4-4-4--4-4-4-4-4-4-4--44-4--4-4-4=5647765865886*556386588668*56586856853

Nataly [62]

Answer:

−6294≠Infinity

Step-by-step explanation:

−6294≠Infinity

5 0

3 years ago

When humans urbanize an area, what other impact will they end up having as well?

oksano4ka [1.4K]

Answer: When humans urbanize an area they

Step-by-step explanation: I think this because before people urbanized the place it was probably like a rural place or suburban. When you urbanize a place you might be taking a person or an animals homeland away and that can be a bad impact on them.

6 0

3 years ago