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omeli [17]
3 years ago
7

In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technol

ogy. HINT [See Example 2.] (Round your answer to five decimal places.) P(X = 3)
Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

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Answer:

y = 3/4x + 2

Step-by-step explanation:

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3 years ago
Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i
rewona [7]

Answer:

slope = \frac{3}{7} and - \frac{7}{3}, perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = \frac{3}{7} x + 11 is in this form with m = \frac{3}{7}

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subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - \frac{7}{3} x + \frac{13}{3} ← in slope- intercept form

with m = - \frac{7}{3}

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The lines are not parallel since slopes are not equal

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6 0
3 years ago
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irga5000 [103]

Answer:

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Step-by-step explanation:

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Here's a good rhyming rule to keep in mind.

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Answer:

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3 years ago
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