The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips?(b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips?(c) What proportion of bags contains more than 1225 chocolate chips?(d) What is the percentile rank of a bag that contains 1025 chocolate chips?Click the icon to view a table of areas under the normal curve.(a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is(Round to four decimal places as needed.)(b) The probability that a randomly selected bag contains fewer than 1100 chocolate chips is(Round to four decimal places as needed.)(c) The proportion of bags that contains more than 1225 chocolate chips is(Round to four decimal places as needed.)th percentile.(d) A bag that contains 1025 chocolate chips is in the(Round to the nearest integer as needed.)Enter your answer in each of the answer boxes.Type here to searchUS5tIO$91715f61413f1esc&7AA$96

Question
Asked Oct 23, 2019
718 views
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips?
(c) What proportion of bags contains more than 1225 chocolate chips?
(d) What is the percentile rank of a bag that contains 1025 chocolate chips?
Click the icon to view a table of areas under the normal curve.
(a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is
(Round to four decimal places as needed.)
(b) The probability that a randomly selected bag contains fewer than 1100 chocolate chips is
(Round to four decimal places as needed.)
(c) The proportion of bags that contains more than 1225 chocolate chips is
(Round to four decimal places as needed.)
th percentile.
(d) A bag that contains 1025 chocolate chips is in the
(Round to the nearest integer as needed.)
Enter your answer in each of the answer boxes.
Type here to search
US
5
tIO
$9
17
15
f6
14
13
f1
esc
&
7
AA
$
96
help_outline

Image Transcriptionclose

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips? (c) What proportion of bags contains more than 1225 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips? Click the icon to view a table of areas under the normal curve. (a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1100 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1225 chocolate chips is (Round to four decimal places as needed.) th percentile. (d) A bag that contains 1025 chocolate chips is in the (Round to the nearest integer as needed.) Enter your answer in each of the answer boxes. Type here to search US 5 tIO $9 17 15 f6 14 13 f1 esc & 7 AA $ 96

fullscreen
check_circle

Expert Answer

Step 1

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are solving the first 3 parts for you, according to our policy. If you need help with any of the other parts, please re-post the question and mention the part you want answered.

Step 2

It is given that the mean and standard deviation are 1,252 and 129, respectively.

a)

The probability that a randomly selected bag contains between 1,000 and 1,500 chocolate chips is obtained as follows:

help_outline

Image Transcriptionclose

x-1,252 1,500 - 1,252 1,000 1,252 P(1,000xs 1,500) = P 129 129 129 P(-1.95s1.92) -P(1.92)-P(<-1.95) 0.9726-0.0256(.: Using standard normal table) =0.9470

fullscreen
Step 3

b)

The probability that a randomly selected bag contains fewer...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in
MathStatistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: I'm having trouble understanding how to do thos problem. Help would be really awesome.    45 and 46 ...

A: 45)The z-value that corresponds to the given area 0.8962 is obtained below:From the information give...

question_answer

Q: According to the stock index, the return from January 2014 to December 2014 shows the average of 7% ...

A: Hello there! I see that there are multiple subparts in the question. According to our policies I can...

question_answer

Q: Finding Critical Values and Confidence Intervals. In Exercises 5–8, use the given information to fin...

A: (a)The provided values are:Sample size (n) = 25Sample standard deviation (s) = 0.24The formula to fi...

question_answer

Q: The table below shows the results of a random sample of patients at a hospital classified by the mut...

A: From the provided information, if a person is selected at random from the sample, the required P(T1|...

question_answer

Q: I'm having trouble with part b of this question. I am using the formula of z=(X-m)÷(standard deviati...

A:  Consider, X be a random variable that represents average daily jail population in U.S. is normally ...

question_answer

Q: 15.3 #10

A: The average is the sum of all data points and divided by total number of data points. the formula to...

question_answer

Q: Alice owns a snow shoveling business. For each driveway, she charges $50 plus $70 per hour of work. ...

A: Independent and dependent variables in regression:In a simple regression, the variable of interest, ...

question_answer

Q: 1. [Excel Question] The number of days building a new detached home follow a normaldistribution with...

A: a.Computing the percent of new detached homes is built in less than 290 days:It is given that the nu...

question_answer

Q: Find the percentage of data points that lie between -2.31 and 1.85.

A: Assuming the data follows standard normal distribution with mean 0 and standard Deviation 1Finding t...