15. The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4. Suppose that 19% of all sales are for amount is greater than $1,000. In a random sample of 30 invoices, what is the probability that more than six of the invoices are for over $1,000? Use the binomial approximation to the normal distribution.

15. The number of orders that come into a mail-order sales office each month is normally distributed with a mean of 298 and a standard deviation of 15.4. Suppose that 19% of all sales are for amount is greater than $1,000. In a random sample of 30 invoices, what is the probability that more than six of the invoices are for over $1,000? Use the binomial approximation to the normal distribution.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Doesn't seem like any of these answers work.

Q: The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow…

A: (a) Let x acres of honeydews, y acres of yellow onion and z acres of lettuce According to given…

Q: 3. Art has a 10% solution of alcohol and a 40% solution of alcohol. How much of each does he need to…

Q: An octane number of 89 on gasoline means that it will fight engine “knock” as effectively as…

A: Let's assume in the fuel mixture of 1 gallon with octane number 92; we need x fraction of gasoline…

Q: study shows that the fewer the number of wolves in a rural area (Y), the more farms there are in the…

A: From the given information we find the conclusion.

Q: If a bathtub comfortably holds 30 gallons of water and a shower produces 2 gallons of water per…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A: The objective of the question is to calculate the number of police officers needed in Maple County…

Q: A total of $11,000 is invested in two different accounts. The first account at 6.5% simple interest…

A: Given problem:- A total of $11,000 is invested in two different accounts. The first account at 6.5%…

Q: e) Can Jimmy's dietary requirements be met by using only one of the cereals? Explain your answer. g)…

A: We will Formulate the LPP and solve it using graphical method.

Q: A psychologist would like to examine how the rate of presentation affects people’s ability to…

A: Given information: The data represents the number of errors in recall for the 4 groups ½ second, 1…

Q: Perform the experiment, tally your results, and calculate the probability. Simultaneously toss a…

A: From the definition of probability, if an experiment can occur in any of n mutually exclusive and…

Q: Type out the problem step-by-step in full.

A: Given p1= population proportion of touchbacks in 2010=4162539p^2=sample proportion of touchbacks in…

Q: About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and…

A: Let us assume Samuel's paycheck is $100. Then find the remaining after the deductions and convert it…

Q: Summarize the steps you need to follow in order to determine what type of permutation or combination…

A: To determine which formula to use for a permutation or combination problem, follow these steps:1.…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

I need the answer as soon as possible

15. The number of orders that come
into a mail-order sales office each
month is normally distributed with a
mean of 298 and a standard deviation
of 15.4. Suppose that 19% of all sales
are for amount is greater than $1,000.
In a random sample of 30 invoices,
what is the probability that more than
six of the invoices are for over $1,000?
Use the binomial approximation to the
normal distribution.
O 0.4857
0.9440
0.0207
0.0560

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Mila invested $6,700 and put it in two accounts. She put some in a money market account that earned 1 1/2 % simple interest and she put the rest in a certificate of deposit (CD) that earned 2 3/4% simpleinterest. At the end of the first year she earned a total of $149.25 in interest. How much did she depositin each account?
Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.
This was a complete waste of money. There is no explanation and therefore no ability to understand how to get to the solution.
Faisal is conditioning all winter to prepare for his college's hockey team tryouts. He is incorporating barbell deadlifts into his daily workout regime. He plans to start with two reps and everyday he will complete two more reps than the day before. Write an explicit formula that can be used to find the number of reps lifted on any given day. If he starts with three reps on the first day, how many reps will he do on the 7th day of training?
samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already gone while asleep. How much of the entire trip was Samuel asleep?