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levacccp [35]
1 year ago
13

A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from

one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87
Mathematics
1 answer:
lys-0071 [83]1 year ago
7 0

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

\mu = 3, \sigma = 0.87

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

  • E(X) = np = 4 x 0.75 = 3.
  • \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

8 0
3 years ago
Please help this is in my test tomorrow♡
MAVERICK [17]

Answer:

<u><em>67</em></u>

Step-by-step explanation:

<u><em>50-40+87-30</em></u>

=50+(- 40)+87(-30)

=50+87+(-40)+(-30)

=(50+87+(-40)+(-30)

=137+(-70)

=67

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>when he wins, we add points. When he loses ,we subtract points.The score is 50 points. We right  an expression to find the final score </em></u>

5 0
3 years ago
Andrea was given a $700 hiring bonus with her new job she will earn an average commission of $250 per week for the next 15 weeks
Bad White [126]

Answer:

4,450

Step-by-step explanation:

You muiltiply 250 times 15 then you add 700

8 0
3 years ago
How do you right a number in its prime factorization?
Whitepunk [10]
Please use "write" here, not "right." "write" is "right" here, if you get my drift.
"right" is wrong in this context.    ;)

Example:  Most of us would see immediately that 5 is a prime factor of 50.

Write 50 as 5 * 10.

10 is not prime; it can be factored into 5 and 2.

Thus, 50 written as the product of its prime factors is 5 * 5 * 2  (answer)
7 0
3 years ago
What is 24 + 16w help
Alecsey [184]

Hi!

24 + 16 = 40

Answer: 40

I wish you success :)

3 0
3 years ago
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