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levacccp [35]
2 years 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]2 years 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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