1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
What is the sum of the next two terms in the sequence: -3, -1, 3, 9, 17
Korvikt [17]
Answer: 66 because you are adding 2 then 4 then 6 then 8 then 10 then 12 therefore 17+10= 27, and 27+12= 39 and 39+27 equals 66
6 0
3 years ago
I need to fill this out for notes .
docker41 [41]

Answer:

not an answer but how do you attach images because it would be more useful

Step-by-step explanation:

5 0
3 years ago
Make 54/2 to a mixed numbers
Burka [1]

Answer: 27

Step-by-step explanation:  Look below for an attached explanation.

Hope this helps!

4 0
3 years ago
Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro
uysha [10]

Answer:

<u></u>

  • <u>1. As a fraction: 9/50</u>
  • <u>2. As a proportion: x/1 = 9/50</u>
  • <u>3. As a percentage: 18%</u>

<u></u>

Explanation:

<u>1. As a fraction:</u>

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

  • Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

  • Probability = 9 / 50

<u>2. As a proportion:</u>

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

  • x / 1 = 9 / 50

Where x is the probability.

<u>3. As a percentage</u>

You just have to multiply the probability by 100:

  • (9/50) × 100 = 18%
6 0
3 years ago
The sum of 18 and a number
Kryger [21]

Answer:

The expression you are looking for is: 18+x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help figuring out when to use law of sine or law of cosine?
    9·1 answer
  • What is a / b (2x - 12) = c / d ; x ?
    12·1 answer
  • What’s the area of that?
    5·1 answer
  • For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l
    10·1 answer
  • Let 2? + 112 = 3<br>What values make an equivalent number sentence after completing the square?​
    9·1 answer
  • A shadow is cast by a pole. The angle of elevation from the end of the shadow to the top of
    6·1 answer
  • There are 10 boys and 10 girls. What is the probability that 2 boys will be chosen
    11·2 answers
  • Write each value in standard form.
    12·1 answer
  • The ratio of boys to girls in chorus is 2:5. If there are 42 students in the chorus how many are boys
    7·2 answers
  • Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!