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
HACTEHA [7]
3 years ago
15

Question 2.what is the probability that between 80 and 115 complaints are received in one week? use a n(110,20) model to approxi

mate the distribution of weekly complaints.
Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Calculate standard  Z values for the given data:-

z = (80 - 110) / 20 = - 3/2 = -1.5

and z = (115 - 110) / 20 =  0.25

so we need  Prob ( -1.5 < z < 0.25)

Using standard tables this  comes to 0.5319  Answer


You might be interested in
(43 points) In the US, 85% of the population has Rh positive blood. Suppose we take a random sample of 6 persons and let Y denot
VladimirAG [237]

Answer:

a) Binomial distribution with parameters p=0.85 q=0.15 n=6

b) 62.29%

c) 2.38%

d) See explanation below

Step-by-step explanation:

a)

We could model this situation with a binomial distribution

P(6;k)=\binom{6}{k}p^kq^{6-k}

where P(6;k) is the probability of finding exactly k people out of 6 with Rh positive, p is the probability of finding one person with Rh positive and q=(1-p) the probability of finding a person with no Rh.

So

\bf P(Y=k)=\binom{6}{k}(0.85)^k(0.15)^{6-k}

b)  

The probability that Y is less than 6 is

P(Y=0)+P(Y=1)+...+P(Y=5)

Let's compute each of these terms

P(Y=0)=P(6;0)=\binom{6}{0}(0.85)^0(0.15)^{6}=1.139*10^{-5}

P(Y=1)=P(6;1)=\binom{6}{1}(0.85)^1(0.15)^{5}=0.0000387281

P(Y=2)=P(6;2)=\binom{6}{2}(0.85)^2(0.15)^{4}=0.005486484

P(Y=3)=P(6;3)=\binom{6}{3}(0.85)^3(0.15)^{3}=0.041453438

P(Y=4)=P(6;4)=\binom{6}{4}(0.85)^4(0.15)^{2}=0.176177109

P(Y=5)=P(6;5)=\binom{6}{5}(0.85)^5(0.15)^{1}=0.399334781

and adding up these values we have that the probability that Y is less than 6 is

\sum_{i=1}^{5}P(Y=i)=0.622850484\approx 0.6229=62.29\%

c)

In this case is a binomial distribution with n=200 instead of 6.

p and q remain the same.

The mean of this sample would be 85% of 200 = 170.  

In a binomial distribution, the standard deviation is  

s = \sqrt{npq}

In this case  

\sqrt{200(0.85)(0.15)}=5.05

<em>Let's approximate the distribution with a normal distribution with mean 170 and standard deviation 5.05</em>

So, the approximate probability that there are fewer than 160 persons with Rh positive blood in a sample of 200 would be the area under the normal curve to the left of 160

(see picture attached)

We can compute that area with a computer and find it is  

0.0238 or 2.38%

d)<em> In order to approximate a binomial distribution with a normal distribution we need a large sample like the one taken in c).</em>

In general, we can do this if the sample of size n the following inequalities hold:

np\geq 5 \;and\;nq \geq 5

in our case np = 200*0.85 = 170 and nq = 200*0.15 = 30

4 0
2 years ago
Wich hotel costs the least per night ? :)
timofeeve [1]

Answer:

answer b

step - by - step explanation

  1. Hotel A. per night charge is 64 $
  2. Hotel B. per night charge is 60$
  3. Hotel c. per night charge is 65$
7 0
2 years ago
Can someone help me please
zavuch27 [327]

Answer:

C

\:  \\ diameter  = 4ft  \\ \: raduis \:  =  \frac{diameter}{2}  \\ raduis  =  \frac{4ft}{2} = 2ft \\ c = 2\pi \: r \\ c = 2\pi2ft \\ c = 4\pi \: ft \\ c = 4 \times 3.14 = 12.56ft

8 0
2 years ago
Someone tell me if I’m right
otez555 [7]

Answer:

Yes you are correct

Step-by-step explanation:

3 0
2 years ago
What is the value of x in the equation 2(x+3) = 4(x-1)?<br> O 1<br> 02<br> 0 3<br> O 5
Anvisha [2.4K]

Answer:

5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • The memory card on melcher did it's camera can hold about 430 pictures. Melcher used 18% of the memory card while taking picture
    14·2 answers
  • Combine like terms to create an equivalent expression -3.6-1.9t+1.2+5.1t
    6·1 answer
  • Use the slope formula to find the missing coordinate.
    14·1 answer
  • 2.
    8·1 answer
  • What are different ways to write 9(46) using distributive property?
    6·2 answers
  • Write an equation to model the following situation.
    14·2 answers
  • Determine 30% of 70.<br><br><br> using double number line
    5·1 answer
  • What is the volume of the triangle prism? ( HELP PLEASE )
    12·1 answer
  • Please help if you are an expert or ace or whatever in math I need answers to these questions please!
    14·1 answer
  • Can someone please help me with this?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!