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
slamgirl [31]
2 years ago
5

the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that,

for any day, the number of special orders sent out will be no more than 33
Mathematics
1 answer:
aleksandrvk [35]2 years ago
3 0

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 66 special orders daily

This means that \mu = 66. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has \sigma = \sqrt{\mu} = \sqrt{66}

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{32.5 - 66}{\sqrt{66}}

Z = -4.12

Z = -4.12 has a p-value of 0.

0% probability that, for any day, the number of special orders sent out will be no more than 33

You might be interested in
The circumference of the circular table on Beverly’s porch is 72pi inches. What is the radius of the table
sergejj [24]
Your answer is 18 :)


work:
pi(2)d
pi(72)
72/2=36=d

2r=d
36/2=18=r
6 0
3 years ago
Read 2 more answers
What is the range of the following list of numbers:
galina1969 [7]

Answer:

it would have a range of 6

Step-by-step explanation:

im guessing that u ment 4 and ten not 104 so ya

3 0
3 years ago
PLEASE ANSWER + BRAINLIEST !!!!<br><br> Find the indicated sum for the arithmetic series.
schepotkina [342]
Hello there,


I believe the answer would be 17×6 - 6(9+14)(6)/2 = 102 -414 = -312 but i am not 100% Sure!! Sorry if I am wrong!

Hope I helped
8 0
3 years ago
You are taking a test that you did not study for. You realize that out of the 15 questions on the test, you will need to guess o
ki77a [65]

Answer:

Step-by-step explanation:

The chance os 50%

5 0
3 years ago
Write an equation of the line that passes through the points (2,−1) and (0,1).
Alina [70]
0,1 is the y-intercept 
5 0
3 years ago
Read 2 more answers
Other questions:
  • (d) Simplify (9x⁸ y3)2​
    11·1 answer
  • If one endpoint is (5,2) and the midpoint (-10,-2) what is the second endpoint​
    6·1 answer
  • At a certain time of the day, a tree 15 m tall casts a shadow of 12 m, while a second tree casts a shadow of 20 m. How tall is t
    14·1 answer
  • What is the standard deviation of the data set? 1, 4, 2, 2, 8, 7, 3 Round your answer to the nearest tenth.
    14·2 answers
  • The larger of two numbers is eight more than twice the smaller. The sum of the numbers is 10 less than three times the larger. F
    6·1 answer
  • Identify the method that will be used to solve for x for each equation.<br> 4x = 20
    13·1 answer
  • Please help me! <br> Will give brainlst :)
    8·2 answers
  • 2. 8 - 6x = 18x <br>I need help please ​
    13·2 answers
  • If x/2+ 7 = 4<br> , what is the value of 5x - 7?
    9·1 answer
  • Which of the following is equivalent to the radical expression below when
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!