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
Anna007 [38]
3 years ago
15

Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet

ween 190 and 230? Round your answer to the nearest tenth of a percent. A. 91.0% B. 66.9% C. 53.3% D. 84.0%
Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
z= \frac{190-222}{16}=-2

For x = 230
z= \frac{230-222}{16}=0.5

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 

You might be interested in
Help will mark brainliest
Allisa [31]
The answer is 8 .. hope this helps a lot :)
6 0
2 years ago
Read 2 more answers
280 pages; 20% decrease
vitfil [10]
The answer would be 224 pages!
5 0
3 years ago
Read 2 more answers
Consider parallelogram ABCD. If AC¯¯¯¯¯¯¯¯=2x+15 and BD¯¯¯¯¯¯¯¯=5x−12, what does the value of x need to be so that the parallelo
Marianna [84]

Answer:

9

Step-by-step explanation:

I took the quick check

4 0
3 years ago
Find the volume! Please help
vaieri [72.5K]

Answer:

900 in3

Step-by-step explanation:

When you multiply each of the dimensions you get 900 and since you are measuring volume, which has three dimensions, you would add "in3" at the end.

8 0
3 years ago
Please help me !!!!!!​
zlopas [31]

Answer:

okay!

Step-by-step explanation:

its B

5 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 50 marks into 10
    9·1 answer
  • The temperature was-6F.It rose so that the temperature was 0F
    8·1 answer
  • For a standard normal distribution, find the approximate value of P ( z ≥ 0.44 ). Use the portion of the standard normal table b
    5·1 answer
  • The sum of the interior angles of a quadrilateral equals. 180 270 360 540
    8·2 answers
  • Can you help me please?
    6·2 answers
  • If the cafeteria uses 10 gals of milk in 3 days how many gals of milk are used each day
    15·2 answers
  • Factor completely : 6x^2 - 4x - 2
    14·1 answer
  • Zer - 25$ Soil- 6.25 Jamie is starting a garden. She buys 3 bags of potting soil and 4 bags of fertilizer. In all she spent 125$
    7·1 answer
  • Can someone tell me what is...............<br> sike I lied here have 100 points
    10·2 answers
  • Jack wants to pack three different colored shirts for a trip. If he has seven colors to choose from, how many different selectio
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!