The probability that X is greater than 70 and less than 90 is; 0.85
<h3>How to find the probability?</h3>
Let X be the binomial random variable with the parameters:
n = 200
p = 0.4
Then, the random variable Z defined as:
Z = (X - np)/(√(np(1 - p)
The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)
At X = 70, we have;
Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = -1.44
At X = 90, we have;
Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = 1.44
Thus, the probability would be expressed as;
P(-1.44 < Z < 1.44)
From online p-value calculator, we have;
P(-1.44 < Z < 1.44) = 0.85
Complete question is;
Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.
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Answer:
Maintains dynamic equilibrium is correct answer.
Explanation:
Left hand on the bottom and in the middle of there chest?
The repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.
<h3>What is a fraction?</h3>
Fraction simply refers to number expressed as a quotient, in which a numerator is divided by a denominator.
For example, a/b
Given that;
- Decimal number = 0.625625625
- Number in fraction form = ?
First, we rewrite the decimal number as a fraction with 1 in the denominator.
0.625625625 = 0.625625625/1
Next, we multiply to remove 9 decimal places. ( multiply top and bottom numbers with 1000000000 )
0.625625625 = 0.625625625/1 × 1000000000/1000000000
0.625625625 = 625625625/1000000000
Next, we simply, 625 can go through the numerator and denominator.
0.625625625 = 625625625/1000000000 = 1001001/1600000
Therefore, the repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.
Learn more about fraction numbers here: brainly.com/question/6201432
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Hola aquí va la respuesta!!
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