MathMaster logo

MathMaster

  1. Home
  2. general
  3. 1 the personnel manager of cumberland pig iron company studies the number of work accidents in a month and prepared the fo
Question

1. The personnel manager of Cumberland Pig Iron Company studies the number of work accidents in a month and prepared the following probability distribution. Calculate the mean, variance, and standard deviation of the number of accidents in one month. Number of accidents Probability 0 0.40 1 0.20 2 0.20 3 0.10 4 0.10 2. Bank of Hawaii reports that 10% of its credit card customers will stop pay at some point. The Hilo branch sent out 12 new cards today. to. How many of the new cardholders do you think will stop paying? Which is the standard deviation? b. What is the probability that none of the cardholders stops pay? c. What is the probability that at least one defaults? 3. A study related to the cash register lines at Safeway Supermarket, in the South Strand area, revealed that between 4 and 7 p.m. On weekends there is an average of four customers in the waiting line. Which is the probability that when visiting Safeway during this time you will find the following: to. no customer in line? b. Four customers in the waiting line? c. Four or fewer customers in line? d. Four or more customers waiting? 4. The accounting department of Weston Materials, Inc., manufacturer of carports detachable, indicates that it takes two construction workers an average of 32 hours, with a standard deviation of two hours, to assemble the Red Barn model. Assume that the assembly times have to. Determine the z values of 29 and 34 hours. What percentage of garages Does it require between 32 and 34 hours of assembly? b. What percentage of garages require between 29 and 34 hours of assembly? c. What percentage of garages require 28.7 hours or less of assembly? d. How many hours does it take to assemble 5% of the garages?

233

likes
1164 views

Answer to a math question 1. The personnel manager of Cumberland Pig Iron Company studies the number of work accidents in a month and prepared the following probability distribution. Calculate the mean, variance, and standard deviation of the number of accidents in one month. Number of accidents Probability 0 0.40 1 0.20 2 0.20 3 0.10 4 0.10 2. Bank of Hawaii reports that 10% of its credit card customers will stop pay at some point. The Hilo branch sent out 12 new cards today. to. How many of the new cardholders do you think will stop paying? Which is the standard deviation? b. What is the probability that none of the cardholders stops pay? c. What is the probability that at least one defaults? 3. A study related to the cash register lines at Safeway Supermarket, in the South Strand area, revealed that between 4 and 7 p.m. On weekends there is an average of four customers in the waiting line. Which is the probability that when visiting Safeway during this time you will find the following: to. no customer in line? b. Four customers in the waiting line? c. Four or fewer customers in line? d. Four or more customers waiting? 4. The accounting department of Weston Materials, Inc., manufacturer of carports detachable, indicates that it takes two construction workers an average of 32 hours, with a standard deviation of two hours, to assemble the Red Barn model. Assume that the assembly times have to. Determine the z values of 29 and 34 hours. What percentage of garages Does it require between 32 and 34 hours of assembly? b. What percentage of garages require between 29 and 34 hours of assembly? c. What percentage of garages require 28.7 hours or less of assembly? d. How many hours does it take to assemble 5% of the garages?

Expert avatar
Adonis
4.4
102 Answers
**Problem 1:**

Given probability distribution of number of accidents in a month:


Number of accidents | Probability
--- | ---
0 | 0.40
1 | 0.20
2 | 0.20
3 | 0.10
4 | 0.10

**Mean:**

The mean of the probability distribution is calculated by multiplying each value by its probability and then summing the products.


\text{Mean}=\sum x\cdot P(x)=0\cdot0.40+1\cdot0.20+2\cdot0.20+3\cdot0.10+4\cdot0.10=1.3


**Variance:**

The variance is calculated as the average of the squared differences from the mean.


\text{Variance}=\sum(x-\mu)^2\cdot P(x)=(0-1.3)^2\cdot0.40+(1-1.3)^2\cdot0.20+(2-1.3)^2\cdot0.20+(3-1.3)^2\cdot0.10+(4-1.3)^2\cdot0.10=1.81


**Standard Deviation:**

The standard deviation is the square root of the variance.


\text{Standard Deviation}=\sqrt{\text{Variance}}=\sqrt{1.81}=1.3454


Therefore, the mean number of accidents in one month is 1.3, the variance is 1.81, and the standard deviation is approximately 1.3454.


\boxed{\text{Mean}=1.3}

\boxed{\text{Variance}=1.81}

\boxed{\text{Standard Deviation}\approx1.3454}

Frequently asked questions (FAQs)
Math question: Find the third-order derivative of f(x) = 5x^3 - 2x^2 + 7x - 9.
+
What is the maximum value of the tangent function f(x) = tan(x)?
+
What is the area of a rectangle with length 10 and width 20?
+
New questions in Mathematics
I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
a) A tap can supply eight gallons of gasoline daily to each of its 250 customers for 60 days. By how many gallons should each customer's daily supply be reduced so that it can supply 50 more customers for twenty more days?
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
-3(-4x+5)=-6(7x-8)+9-10x
Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors. It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3 Calculate, in meters, the height of the bust that supports the cube. Displays all the calculations you made.
The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?
User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=
7=-4/3y -1
Use linear approximation to estimate the value of the sine of 31o.
Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?
Using the bank and exact method, calculate the interest on capital 10000 at 12% annual nominal interest rate for the period from 15.3. 2016 until 10/10/2016
Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
Find the vertex F(x)=x^2-10x
What js the greatest 4-digit even number that can be formed by 3,6,1,4?
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.

You might be interested in