A pencil company has four extruders for making pencil lead. The maintenancemanager has determined from historical data that the following table describesthe distribution of the number of extruders down (out of operation) on anygiven day:y01234P(y) 0.50.30.10.050.05a. Find the probability that three or more extruders are down.b. Find the probability that fewer than one extruder is down.c. Find the expected number of extruders down.d. Find the population variance and the population standard deviation for thenumber of extruders down.

To find the probability that three or more extruders are down, we need to add the probabilities of…

Answered: A pencil company has four extruders for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Bill has purchased the insurance policy from an insurance company to cover the value of his new RV in case if it gets totaled for the price of $1300 per year. Bill's RV worth $38000 and the probability of him totaling the RV during the length of the policy is estimated to be 0.1%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X: X outcome profit x ,$ P(X=x) RV is totaled RV is not totaled 2. Use the probability distribution table to find the following: E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
You may need to use the appropriate appendix table to answer this question. Suppose that the average price for a gallon of gasoline in the Country A is $3.74 and in Country B it is $3.40. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B. (a) What is the probability that a randomly selected gas station in Country A charges less than $3.50 per gallon? (Round your answer to four decimal places.) (b) What percentage of the gas stations in Country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.)
Find the mean of the following probability distribution? P(a) 0 0.1849 1 0.1895 2 0.0147 3 0.3983 4 0.2125 mean- (report answer rounded to one decimal place) Submit Question
A population distribution has a normal distribution with μ= 360 and σ= 102. You Intend to draw a random sample of size n = 121. Determine the main extended deviation of the sibling distribution of x̅. Russells in the four places if necessary. What is the meaning of sampling distribution of x̅? μx̅ What is the deviation of the sampling distribution of of x̅? σx̅
None
Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
Determine each of the following areas andshow these graphically. Use probability notation in your final answer. 1. above z = -1.08 2. below z = -1.08 3. between z= -1.08 and z=0.80
Find the mean of the following probability distribution. xx P(x)P(x) 0 0.1536 1 0.2644 2 0.1896 3 0.2421 4 0.1502 mean = xx P(x)P(x) 0 0.25 1 0.15 2 0.3 3 0.3 Find the mean of this probability distribution. Round your answer to one decimal place.
Use the geometric distribution to calculate the following probabilities. a.Find the probability that the first success occurs on the third trial when ?=0.3p=0.3. b.Find the probability that the first success occurs on the fifth trial when ?=0.3p=0.3. c.Find the probability that the first success occurs on the third trial or later when ?=0.3p=0.3. d.Find the probability that the first success occurs on or before the third trial ?=0.3p=0.3. e.Find the probability that the first success occurs on the second or third trial when ?=0.3p=0.3.
Please help me with the following question.
3. Draw the probability distribution of the function, find the mean, variance, and standard deviation of the profit in the instance below: A store has a monthly sale of P23,540, which deviates by P3,876. Now, the profit is calculated as 28% of the sales subtracted by the operating cost of P,5324.

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