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adelina 88 [10]
2 years ago
9

Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, t

hey played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?
Mathematics
1 answer:
ELEN [110]2 years ago
5 0

Answer:

08:15 pm

Step-by-step explanation:

2:45 + 2:15 + 0:45 + 2:30

=8:15

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Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

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.

Let the probability of success on a Bernoulli trial be 0.26.

This means that p = 0.26

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that n = 5

4 failures, so 1 success, and we have to find P(X = 1).

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P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898

0.3898 = 38.98% probability that there will be 4 failures

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