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andres caicedo

andres c.

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(a) How many three-digit numbers can be formed from the digits $0,1,2,3,4,5,$ and 6 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than $330 ?$

(a) How many three-digit numbers can be formed from the digits $0,1,2,3,4,5,$ and 6 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than $330 ?$

Probability and Statistics for Engineers and Scientists

Probability

Counting Sample Points

Questions asked

INSTANT ANSWER

linneal programming: A company manufactures 2 products, A and B. Department 1 can process up to 100 units of A or up to 300 units of B or a combination of both per day. Department 2 can process up to 150 units of A or up to 250 units of B or a combination of both per day. For market reasons it is required that the total produced units of A should not represent more than 40% of the total produced in the day. If a profit of $50,000 per unit of A and $30,000 per unit of B is obtained, propose a PL to maximize profits.

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INSTANT ANSWER

Lineal programming, operations research: Three types of PCs will be assembled in a plant. If only PC type A were produced, 1800 units could be assembled per month. Each unit of PC type B requires 50% more time than each unit of PC type A, and each unit of PC type C requires double the time of unit A. The profit for PC type A is $100,000/unit, for PC type B is $70,000/unit, and for PC type C is $140,000/unit. Due to market conditions, no more than 1500 units of the three products combined can be sold per month. Additionally, no more than 1100 units of PC type B can be manufactured because the supplier does not have enough parts. Formulate a linear programming model to maximize the profits.

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ANSWERED

James Kiss verified

Numerade educator

Let's assume that repetitions are not allowed. a. Find the number of ways 3-digit numbers can be formed using the following 9 digits: 0, 1, 2, 3, 5, 6, 7, 8, 9 b. How many of them are odd? c. How many of them exceed 400?

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ANSWERED

Jacob Fry verified

Numerade educator

The average lifespan of a certain electrical appliance is ten years with a variance of four years squared. The manufacturer replaces all appliances that fail within the warranty period for free. If they are willing to replace only three percent of the appliances that fail, what should be the duration of the warranty offered? Assume that the lifespan of an electrical appliance follows a normal distribution.

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ANSWERED

Teresa Wray verified

Numerade educator

(STANDARD NORMAL DISTRIBUTION) A soda vending machine is adjusted to serve an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation of 15 milliliters. How many cups are likely to spill over if 230 milliliter cups are used for the next 1000 drinks? Below what value will we obtain the 25% lowest in filling the drinks?

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ANSWERED

Anna D. verified

Numerade educator

A chef knows that the cooking time of a recipe lasts less than 17.8 minutes with a probability of 0.2014; in addition, the probability that the duration is longer than 19.2 minutes is 0.1515. If the cooking time can be represented as a random variable with a normal distribution, what will be the mean and variance of this distribution?

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ANSWERED

Jacob Fry verified

Numerade educator

(STANDARD NORMAL DISTRIBUTION) A company pays its executives an average salary of $29,415 per hour with a typical deviation of $2,775. If the salaries are approximately normally distributed and are paid without cents. What is the hourly wage earned by the bottom 15% of executives at the company? How much is the highest hourly wage?

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ANSWERED

Anna D. verified

Numerade educator

(STANDARD NORMAL DISTRIBUTION) A company pays its executives an average salary of $29,415 per hour with a typical deviation of $2,775. If the salaries are approximately normally distributed and are paid without cents. ¿What is the hourly wage earned by the top 5% of executives at the company?

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ANSWERED

A company receives a batch of 1000 units. To accept it, 10 units are randomly selected and inspected. If none are found to be defective, the batch is accepted; otherwise, it is rejected. If the batch contains 5% defective units: Approximate the answer using the Poisson distribution.

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ANSWERED

Jason Gerber verified

Numerade educator

An insurance salesman knows that the chance of selling a policy increases as more contacts are made with potential customers. If the probability of a person buying an insurance policy after a visit is constant and equal to 0.25, and if the set of visits constitutes an independent set of trials, how many potential buyers must the salesman visit for the probability of selling at least one policy to be 0.80?

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