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
jek_recluse [69]
3 years ago
8

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

eration, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.7 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped. (a) What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.) (b) What is the probability that maximum speed is at least 47 km/h? (Round your answer to four decimal places.) (c) What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (Round your answer to four decimal places.)
Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

You might be interested in
If 2x- 3 + 3x = 28 what is the value of x
andreev551 [17]

Answer:

x= 31/5  (Exact form)

x= 6.2  (Decimal Form)

x= 6 1/5 (Mixed number form)

Step-by-step explanation:

6 0
3 years ago
Please Help!!!! Emergency!!!!
Norma-Jean [14]
The volume of a cylinder is pi r^ h
R (radius) is 5, h (height) is 2.
pi x 5^ x 2 = 157.080
6 0
2 years ago
Kaltlin bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount.
MrRissso [65]

Answer:

I might have bought about 9 books

4 0
3 years ago
Read 2 more answers
Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she
Mashutka [201]

Answer:

1 Stamp = $0.65

Stamps Bought= $158.60/0.65

=244 Stamps

4 0
2 years ago
What is true for f(x)=bx​
kozerog [31]

Answer:

f'(x) = b

Step-by-step explanation:

f(x) = bx

f' (x) = d/dx (bx)

using d/dx ( a * x ) = a

f' (x) = b <-- solution.

4 0
2 years ago
Other questions:
  • F(x)=2x+6
    15·2 answers
  • The following table shows information collected from a survey of students regarding their grade level and transportation they us
    12·1 answer
  • What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?
    6·1 answer
  • How many minites are in 1 hour
    12·2 answers
  • Hi.
    7·1 answer
  • A family buys 4 airline tickets and travel insurance that costs $18 per ticket. The total cost is $680. Let x represent the pric
    8·1 answer
  • Which expressions is not equivalent 2x^2+10x+12?
    10·1 answer
  • Factor the algebraic equation<br> 36a+20
    8·2 answers
  • What is the solution to 4x + 2 = 6(-2x - 5) ?
    7·2 answers
  • Help! Give brainliest!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!