Mathematics, 13.03.2020 18:31 JOEFRESH10

The weather report for this work week (Monday through Friday) states that the probability of rain is 5% for each day. The probability that it will rain at least once this working week is:

Answers: 1

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Answer from: jep88

22.62%

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it rains, or it does not. The probability of rain on a given day is independent from other days. So we use the binomial probability distribution 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.

The weather report for this work week (Monday through Friday) states that the probability of rain is 5% for each day.

5 days, 5% each day.

So p = 0.05, n = 5

The probability that it will rain at least once this working week is:

Either it does not rain on any day, or it rains in at least one day. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X 0) = 1

We want P(X > 0). So

P(X 0) = 1 - P(X = 0)

In which

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

$P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738$

P(X 0) = 1 - P(X = 0) = 1 - 0.7738 = 0.2262

22.62% probability that it will rain at least once this working week is:

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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