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
Ganezh [65]
3 years ago
12

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1

71lb. The new population of pilots has normally distributed weights with a mean of 137lb and a standard deviation of 28.9lb. If a pilot is randomly selected find the probability that his weight is between 130lb and 171lb​
Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

You might be interested in
A farmer is fencing a 270 ft by 330 ft rectangular pasture. Posts are to be placed every 6 ft. how many posts are needed?
vazorg [7]
100 posts have to be placed
4 0
3 years ago
Read 2 more answers
Can someone help me with this please?​
Vladimir79 [104]
With what? Don’t see anything
6 0
3 years ago
The domain of the function given below is the set of all real numbers greater
lisabon 2012 [21]
The answer is A. True
3 0
3 years ago
What is the mean, median, mode, and range of this data set, 2,3,2,4,3,3,3,4,2,3,4,2,4,4,9,3,4,4
slava [35]

Answer:

Mean: 3.5

Median: 3

Mode: 4

Range: 7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which mapping represents a function?
Morgarella [4.7K]
The answer to the question is B
3 0
2 years ago
Other questions:
  • What is the domain of the function y=2√x-6
    8·2 answers
  • If the measure of angle ABC is 57 degrees, what is the measure of arc AB
    7·2 answers
  • The polynomial 8x2-8x+2-5+x is simplified to 8x2-gx-h. What are the value of g and h?
    10·1 answer
  • Please help with 1 and 3! Please tell me the answer! I'm crying in confusion! :(
    15·1 answer
  • The equation x2 − xy + y2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate
    12·1 answer
  • What is the domain of the function y=3/x-1?<br> O<br> -00 O-1 O 0 O 1
    11·1 answer
  • A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in the simplest radical form.
    7·1 answer
  • What is the slope of the line that passes through (2,5) and (6, 7)?
    9·1 answer
  • Which is the graph of f(x) = (x + 3)(x - 2)?
    5·1 answer
  • -5, 10 ,-20 ,40 value b
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!