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
If you flip two coins 16 times, what is the best prediction possible for the number of times both coins will land on tails?
mr_godi [17]

Answer:

2×16

=32

Step-by-step explanation:

hope it helps..

8 0
3 years ago
What is 96 divided by 7,488 <br><br> PLEASE HELP MARK AS BRAINLIEST
erica [24]

Answer:

78

Step-by-step explanation:

Normal division

7488\96=78


5 0
3 years ago
A high school debate team of 4 is to be chosen from a class of 35. how many possible ways can the team be formed?
Burka [1]
Imagine there are 4 sits for fill for the debate team 
we can fill the first sit in 35 different ways, second sit we only have 34 choices , third sit 33 and last sit 32 ways to possible fill it. 
35·34·33·32=1,256,640 possible ways the team could be form
4 0
3 years ago
C/- 4 = 16<br> please help
Yuri [45]

Answer:

c = -64

Explanation:

c/(-4) = 16

multiply the equation by -4,

c/(-4) × (-4) = 16 × (-4)

c = 16 × (-4)

c = -64

7 0
2 years ago
Read 2 more answers
When you divide 50 by 5 you get a whole number is this number even or odd​
Paul [167]

Answer:

Even [ 10 is even ] ( 50 ÷ 5 = 10 )

8 0
2 years ago
Read 2 more answers
Other questions:
  • Slope -3/4, through (-2,4)
    14·1 answer
  • 25 POINTS!! Please help!!!! write with all steps. Thanks!
    6·1 answer
  • Does the states’ growing dependence on Washington have any bearing on lawmakers’ relationship with the people? Are people today
    10·1 answer
  • What’s 21.84 divided by 8
    11·2 answers
  • The probability that it will snow is 7/20 what’s the probability it won’t
    12·1 answer
  • A bag contains 5 Red, 4 White, and 1 blue marbles <br><br> P(White) =
    11·2 answers
  • What graph represents the piecewise-defined function?
    8·1 answer
  • Which graph shows the line y = x + 1?
    5·2 answers
  • Let the vector \mathbf{v}v have an initial point at (-5, -5)(−5,−5) and a terminal point at (-3, 1)(−3,1). Determine the compone
    13·1 answer
  • If the measure of angle is θ is 7pi/4 , which statements are true?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!