A company wants to evaluate its attrition rate. In other words, how long new hires stay with the company.Over the years, they have established the following probability distribution.Let X = the number of years a new hire will stay with the company.Let P(x) = the probability that a new hire will stay with the company x years.IP(x)00.1210.1820.330.154???50.160.05Find the probability that a new hire will stay with the company for 4 years.P(x = 4) =Find the probability that a new hire will stay with the company for at least 5 years.P(x ≥ 5) =On average, how long would you expect a new hire to stay with the company?years

Let X = the number of years a new hire will stay with the company Let P(x) = the probability that a…

Answered: A company wants to evaluate its…

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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Observations of a river that is subject to flooding have been carried out over a 100 year period. The number of floods that have occurred per year are given in the following table. Number of years 30 35 22 10 0 Number of floods 0 1 2 3 4 Determine the probability of flooding for the next fifty years.
Recal the example in class and also in the notes I sent to you. Work again on the example as follows. Example: Suppose that 2 defective microwaves have been included in a shipment of 6 microwaves. The buyers want to test the 6 microwaves one at a time. Let Y denote the number of defective microwaves is found after 3 random selected ones have been tested. Find the probability distribution for Y. Y = the number of defective microwaves found after 3 have been tested What's the possible value of Y? Y P(Y=y) ? ? Questions: 1- Fill the table above with random variables and corresponding probabilities? 2- Calculate the probability that the buyers can find at least 1 defective microwave after 3 have been tested? 3- Find the probability that buyers cannot find any defective microwave after 3 random ones have been tested?
You purchase a brand new car for $17,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. X P(X)
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type O A B AB Probability 0.53 0.22 0.06 0.19 What is the probability that a randomly chosen American does not have type O blood? ______________% Round to the nearest 0.01%
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
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.
The following table lists certain values of x and their probabilities. Verify whether or not it represents a valid probability distribution. P(x) 0 0.31 1 0.30 2 0.19 3 0.16 The table a valid probability distribution.
A couple decides to continue to have children until they have three daughters. Assuming that their probability of having a male offspring is 0.55, what is the probability that their third daughter is their sixth child? a. 0.6250 b. 0.1808 c. 1 d. 0.1516 e. 0.8125 f. 0.8192 g. 0.3750 h. 0.1875
Consider the following probability distribution. Find the probability that x=2. x. 0 1 2 3 4 5 p(x). .12 .25 ? .18 .14 .11
Find the probability of the indicated event if P(E)=0.40 and P(F)=0.55. Find P(E or F) if P(E and F)=0.20. P(E or F)= _____
if the following table is probability distribution . Find the mean (E(X))? 1 4 P(X=x) 16/81 32/81 24/81 8/81 1/81 Select one: a. 4 o b. 112 81 106 C. 81 d. 14 3

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