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andre [41]
3 years ago
13

After completing a study, Orlando International Airport managers concluded that the time needed to get passengers loaded on an a

irplane is normally distributed with a mean equal to 22.5 minutes and a standard deviation equal to 5.25 minutes. Recently one airplane required 33 minutes to get passengers on board and ready for takeoff. Find the probability that a flight will take 33 or more minutes to get passengers loaded.
Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer:

Probability = 0.0228

Step-by-step explanation:

Let X be a random variable which is a measure of the time to get a passenger on board.

Mean(u) = 22.5mins

Standard deviation (s) = 5.25mins

X = 33mins

From Pr(X>33), starting from Pr(X = 33)

For normal distribution, Z = 7(X - u) /s

Z= (33 -22.5) /5.25

= 10.5/5.25

= 2

From the normal distribution table, 2 = 0.4772

Recall that

If Z is positive,

Pr(x>a) = 0.5 - table value

Pr(x<a) = 0.5 + table value

Therefore;

Pr(X>33) = 0.5 - 04772

= 0.0228

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Answer: LAST OPTION.

Step-by-step explanation:

To solve this exercise is important to remember the following definitions:

  1. The sum is the result obtained when we solve an addition.
  2. The product is the result obtained when we solve a mutiplication.
  3. Given a multiplication (a)(b)=c, "a" and "b" are factors and "c" is the product.

In this case, you have this expression:

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Notice that the there is an addition of two terms (y and 5) inside the parentheses.

Outside the parentheses you can notice that the number 7 is multiplying the sum of the terms  mentioned before.

Therefore, you can conclude that the best description for this expression is:

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3/4 - 2/3

3/4 × 3 = 9/12
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Tom's score is 1/12 because in order to find his score, you'll have to subtract. So you have to subtract 3/4 - 2/3 but you can't subtract it since they don't have a common denominator. What you have to do to find the common denominator is to find the least common denominator by finding a multiple of 4 and 3. I know that 4 × 3 = 12 and 3 × 4 = 12, so that is gonna be my denominator. Now, we just have to multiply 3/4 by 3 and 2/3 by 4 and we have the answers of 9/12 and 8/12. Now I can subtract. 9/12 - 8/12 is gonna equal 1/12. This shows how I got my answer of 1/12.
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