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
stiv31 [10]
2 years ago
15

Assume that blood pressure readings are normally distributed with a mean of 120 and a standard deviation of 8. If 100 people are

randomly selected, find the probability that their mean blood pressure will be greater than 122.
Mathematics
1 answer:
Yanka [14]2 years ago
8 0

Answer:

0.0062

Step-by-step explanation:

Let X be the random variable blood pressure.The information we are given are

mean blood pressure=μx=120

standard deviation blood pressure=σx=8

we have to find P(mean bp>122)=P(xbar>122).

P(Xbar>122)=P(xbar-μxbar/σxbar>122-μxbar/σxbar)=P(Z>122-μxbar/σxbar)

Now, we have to find μxbar and σxbar. We know that

μxbar=μx

σxbar=σx/sqrt(n).

So, μxbar=μx=120

σxbar=σx/sqrt(n)=8/sqrt(100)=0.8

P(Xbar>122)=P(Z>122-120/0.8)=P(Z>2.5)=P(0<z<∞)-P(0<z<2.5)

From normal distribution table P(0<z<2.5)=0.4938 and we know that P(0<z<∞)=0.5. So,

P(Xbar>122)=0.5-0.4938=0.0062

There is 0.62% chance that the mean blood pressure of 100 people will be greater than 122

You might be interested in
26×13 14 points here help
LenKa [72]
26 times 13 is equal to 338
7 0
2 years ago
Read 2 more answers
Please help me with this please and thank you
Bond [772]
I can’t see the problem very well, but your answer should be the one with (-3/2,0) as the intersecting point on the graph.
5 0
2 years ago
The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could h
Makovka662 [10]
3-10 pounds
because it has to be more than 2 pounds and less than 11. hope it helps
6 0
2 years ago
Help with 33 and 34 please!!!
hjlf
33. 15x10=150x9
the answer is b

34. a
3 0
3 years ago
Read 2 more answers
Find solution of the linear equation y = 2/3x + 1/3
ankoles [38]

Answer:

3/3=1

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the solution of this inequality 3/4|(x+8)&gt;|1/2|(2x+10)|
    13·2 answers
  • Find the area of the rectangle or square 8yd 8yd
    12·1 answer
  • I need help on number 9
    7·2 answers
  • 3.2/9 = n/36 N=_____ Solve for the proportion
    13·1 answer
  • What is the midpoint between points 1,4 and 9,16​
    12·1 answer
  • How is the answer 100.48 ?? Someone explain I'm confused
    11·1 answer
  • Tariq has earned $54 for cutting the grass of three houses.
    10·1 answer
  • Bác lan thu hoạch được 10 tạ gạo nếp và 1,5 tấn gạo tẻ. hỏi bác lan thu được tất cả bao nhiêu tạ gạo
    6·1 answer
  • Please answer..I'll give the Banlist or how ever u spell it lol
    15·1 answer
  • Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!