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denis-greek [22]
2 years ago
12

The probability that it rains in London an any particular day is 0.2.

Mathematics
1 answer:
jasenka [17]2 years ago
3 0

Answer:

It is 14.45 percent

Step-by-step explanation:

The first day is independent from the day before. Therefore the first day probability (of rain) is 20 percent.

The second day (depends on the previous day) rainfall probability is 85 percent.

Finally, the third day (it must be rainy to satisfy the total probability) rainfall probability is 85 percent.

The probability of having three consecutive days which are rainy:

P(all rainy)

=

0.20

×

0.85

×

0.85

=

0.1445

or 14.45 percent.

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Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard
ivann1987 [24]

Answer:

\mu -\sigma = 66 , \mu +\sigma = 82

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And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

X \sim N(\mu= 74, \sigma =8)

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

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\mu -3\sigma = 50 , \mu +3\sigma = 98

And in the figure attached we see the limits with the percentages associated.

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