Weather records show that the probability of rainfall in Florida in June is 0.86. What is the probability that it rains there in June at least 9 times in a decade?

Answers

Answer 1

Answer:

0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.

For each June 9 in Florida, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on June 9 of an year is independent of rain on June 9 on any other year, which means that the binomial probability distribution is used to solve this question.

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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.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

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0.86 probability of rain means that $p = 0.86$
A decade means 10 years, so $n = 10$

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What is the probability that it rains there in June at least 9 times in a decade?

This is:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which

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

$P(X = 9) = C_(10,9).(0.86)^(9).(0.14)^(1) = 0.3603$

$P(X = 10) = C_(10,10).(0.86)^(10).(0.14)^(0) = 0.2213$

Thus

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.3603 + 0.2213 = 0.5816$

0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.

A similar question is found at brainly.com/question/9631195

Answer 2

Answer: R - it is rain (probablity: 0.86)
N - it is not rain (probablity: 1-0.86 = 0.14)
You've got these cases:

R R R R R R R R R N
R R R R R R R R N R
R R R R R R R N R R
. . .
N R R R R R R R R R - it is 10 cases. Probablity each case is
(0.86)^9 * 0.14 - it is approximately 0.036 (9R and 1N - you multiply everything)

It is 10 cases so you have to multiply by 10 and you get 0.36

There is also eleventh case:

R R R R R R R R R R

Probablity is (0.86)^10 approximately 0.22

Add these cases and you'll get your probablity: 0.36 + 0.22 = 0.58

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Answers

Answer:

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Step-by-step explanation:

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Answers

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The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes:Time (x)
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Answers

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Answers

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Answers

Since the figure is a parallelogram, angle 3 is an alternate interior angle with the 50 deg. angle. Hence, m<3 = 50 deg. Angle 2 is supplementary with 82 deg. angle, therefore m<2 = 180 deg - 82 deg = 98 deg. Using angles 2 and 3, angle 1 can be calculated since the total interior angle of a triangle is 180 deg. m<1 = 180 - 98 - 50 = 32 deg.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

<2 = 180 - 82 = 98

<3 = 50

<1 = 180- ( 98 + 50)
<1 = 180 -148
<1 = 32

answer:
<1 = 32
<2 = 98
<3 = 50

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Answers

we know that
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
so
the answer is
the collection of numbers that includes the natural numbers, together with their negatives and zero are the integers

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