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eimsori [14]
3 years ago
11

In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i

s 50%. If it does not rain on Saturday, the probability that it rains on Sunday is 25%. Given that it rained on Sunday, what is the probability that it rained on Saturday?
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

From the given statements:

The probability that it rains on Saturday is 25%.

P(Sunday)=25%=0.25

Given that it rains on Saturday, the probability that it rains on Sunday is 50%.

P(Sunday|Saturday)=50%=0.5

Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes Theorem for conditional probability:

P(Saturday|Sunday)=\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}

=\frac{0.5*0.25}{0.5*0.25+0.25*0.75}

=0.4

There is a 40% probability that it rained on Saturday given that it rains on Sunday.

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Answer:

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Step-by-step explanation:

To calculate the sum of the residuals, subtract the predicted sales from the actual sales in the table below.

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55 - 40 = 15

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Answer:

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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In this question, we have that:

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3 years ago
Read 2 more answers
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