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
deff fn [24]
3 years ago
10

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

istributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.a) The probability that the person is between 160 and 170 centimeters isb) The probability that the person is higher than 190 centimeter is
Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(person is between 160 and 170 centimeters)

P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%

b) P(person is higher than 190 centimeter)

P(x > 190)

P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)

= 1 - P(z \leq 1.2328)

Calculation the value from standard normal z table, we have,  

P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%

You might be interested in
What is the answer if you factor 5x^2+15x-20
Ipatiy [6.2K]
5(x^2+3x-4) should be the answer
7 0
3 years ago
Read 2 more answers
What set of angles can form a line
Kamila [148]

Answer:

Did u mean triangle? There are no angles on a line.

Or do you mean two angles of 90 degrees?

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST!!!!!! Base the question off this info: An experienced cashier at a grocery store takes 2 second
Vesna [10]
You need to use basic algebra for this.
For this I’ll use o as the items and p for the payment. First you need to find out how long it took for all the items to scan, so if it took each item 2 seconds to be scanned you need to times the total number of items (o) by two e.g. o x 2 = 62 items times two seconds which is equivalent to 62 seconds (1.02 minutes) after this step you need to minus the total time it took to scan the items for the transaction time (2 minutes) e.g. 2.00 - 1.02 = 2.58 minutes.

Hope this helped :)
3 0
3 years ago
Read 2 more answers
Why is this app not working?
Aloiza [94]

Answer:

try restarting it or re downloading

3 0
3 years ago
Read 2 more answers
Find the volume of a rectangular prism that has a length of 14 yards, a width of 5 yards and a height of 8 yards.
Sedaia [141]
Multiply all three numbers to get 560 yards cubed :))
7 0
3 years ago
Other questions:
  • How many numbers have an absolute value of 6
    13·2 answers
  • What is the product?
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=x%20-%204%20%3D%2018" id="TexFormula1" title="x - 4 = 18" alt="x - 4 = 18" align="absmiddle" c
    14·2 answers
  • Write the expression (4x-2)•(2x+7) in the standard form of a quadratic expression, ax squared +bx+c. What are the values of the
    7·1 answer
  • Which is an equivalent form of the equation 3x-3y=15
    8·2 answers
  • Use a half-angle identity to find the exact value of tan(5\pi )/(12)
    12·1 answer
  • I'm confused on what the inequality is
    13·1 answer
  • Look at the image shown below
    5·1 answer
  • eah’s friends gave her $12 at her birthday party. Then her grandparents gave her some more money. In all she had $112 of birthda
    9·1 answer
  • (-7/10+0.15)÷ (-0.125) help? ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!