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
Marina86 [1]
3 years ago
12

The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d

eviation is $160 and that the amount spent is normally distributed. a. What is the probability that the amount spent on a randomly selected child is more than $700?b. What is the probability that the amount spent on a randomly selected child is less than $100?c. What is the probability that the amount spent on a randomly selected child is between $450 and $700? (Round to four decimal places)d. What is the probability that the amount spent on a randomly selected child is no more than $300? (Round to four decimal places)
Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

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

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

You might be interested in
If the sum of interior angle measures of a polygon is 720, how many sides does the polygon have?
NISA [10]
Since the interior is 720 divide it by 180 and you will get 4 so 4=n-2 where the n means number of sides. Move the 4 over to n=4+2 and you get n=6
5 0
2 years ago
Read 2 more answers
HELP WILL GIVE BRAINLIEST PLEASE
svp [43]

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

7 0
3 years ago
Put them in order smallest to largest:<br> 1.32,1.23,1.03,3.21,3.12
dlinn [17]

Answer:

1.03,  1.23,  1.32  3.12,  3.21

4 0
3 years ago
Read 2 more answers
Celrste's bank charges 2.35 for every time she uses the ATM celeste uses the ATM to withdraw 20 on Monday and to deposit 75 on T
saveliy_v [14]
After her transaction at the ATM, 52.65
7 0
2 years ago
A store offers different brands of a product. It decides to eliminate the brand
hram777 [196]

Answer:

In my points of view brand D should <em><u>elimininate.In</u></em><em><u> </u></em> table have show the brand of D.If I am wrong I am sorry for talking 5pbt

4 0
3 years ago
Other questions:
  • #1. A 30 inch wire is bent into a scalene triangle. Its median side is 2 inches longer than
    5·1 answer
  • 2 dice are rolled. What is the probability that the sum of the numbers rolled is a number greater than or eaqual to 5
    5·2 answers
  • I need help with problems 27,28,29,
    14·1 answer
  • Andrew earns an allowance of $12 the first week, $17 the next week, $22 the following week, and so on. How much will Andrew earn
    9·1 answer
  • Which of the following is not a true statement about pi?
    11·1 answer
  • Which set of numbers is ordered from least to greatest?
    5·1 answer
  • If cos (A+B) = cosAcos B – sinAsin B , find the value of cos 75
    7·1 answer
  • Jordan earns $243 a week. A week The money is shown at the right. Answer the questions about how much he will earn over time.
    10·1 answer
  • 1/2x+3/2(x+1) -1/4=5?
    9·1 answer
  • NEED HELP PLEASE I BEG OF YOU
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!