Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
Answer:
11p+7q
Step-by-step explanation:
The seller marks up the price by $500, for a grand total of $10,500
Hello Lexi!
<u><em>Answer: ⇒⇒⇒⇒⇒⇒ </em></u>
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Step-by-step explanation:
First you had to divide by 2 from both sides of equation.
Simplify.
Divide by the numbers.
Apply the fraction rule.
Then you divide by the number.
Add by 4 from both sides of equation.
Simplify it should be the correct answer.
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Hope this helps!
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Have a great day!
-Charlie
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