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
MaRussiya [10]
3 years ago
8

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

e 15.0 (kips) and standard deviation 1.25 (kips). Calculate the following probabilities: (1) (2 points) P(X ≥ 17.5). (2) (2 points) P(14 ≤ X ≤ 18).
Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

\mu = 15.0

Standard deviation,

\sigma = 1.25

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})

=1-P(z\leq \frac{17.5 - 15}{1.25})

=1-P(z\leq \frac{2.5}{1.25})

=1-P(z\leq 2)

=1- 0.5793   ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})

=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})

=P(z\leq 2.4) - P(z\leq -0.8)

= 0.9918 - 0.2119

= 0.7799

You might be interested in
- 8y + 9x = -5<br> 8y + 7x = -75
IRINA_888 [86]

Answer:

x = -5 , y = -5

Step-by-step explanation:

- 8y + 9x = -5

8y + 7x = -75

__________

0 + 16x = - 80

x = -80 / 16

x = -5

- 8y + 9x = -5

-8y + 9(-5) = -5

-8y - 45 = -5

-8y = -5 + 45

-8y = 40

y = 40/-8

y = -5

hope it helps!

8 0
3 years ago
Need to know how to solve them.
mihalych1998 [28]

Answer:

Only five points

Step-by-step explanation:

For such an question

8 0
3 years ago
Find 62.7% of 177. Round to the nearest thousandth.
PilotLPTM [1.2K]

Answer:

110.979

Step-by-step explanation:

62.7% * 177 = 0.627 * 177 = 110.979

8 0
3 years ago
What is the value of y?
Inessa [10]
I think it’s b but I’m not sure
3 0
3 years ago
Read 2 more answers
Malik, who is 5 feet tall, stands 15 feet from a mirror. In the mirror, he can see the reflection of the top of a tree, which he
Goryan [66]

Answer:

I don't get the question?? What is the question??

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • john has x years his sister has 2 years more if the sum of their age is 10 what is the age of her sister
    14·1 answer
  • I need help in all of the questions 7-16
    11·1 answer
  • 3. Find the radius of a circle with a circumference<br>of 106.81 centimeters.<br>​
    14·2 answers
  • PLEASE HELPPPPP!!!!!! Write an equation of the line passing through point P that is perpendicular to the given line.
    12·1 answer
  • What is the combination for 90 and 75
    11·2 answers
  • Brainliest is given to whoever answers correctly.
    7·2 answers
  • What is 46.08 divided by 0.8
    5·2 answers
  • Graph this line using the slope and y-intercept:<br> y=x+9<br> Click to select points on the graph.
    13·2 answers
  • Pls help me with this I have 5 minutes to do this I will give brainleast plzz
    6·1 answer
  • IMMEDIATE HELP PLEASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!