(b) Records show that 6% of blood samples tested for a certain conditiontest positive. Assuming that whether or not a blood sample testspositive is independent of whether or not any other blood sample testspositive, calculate by hand the following probabilities correct to fourdecimal places. In each case, state clearly the probability model thatyou use (including the values of any parameters) and show your working.(i) The probability that out of 20 samples tested, at least three willtest positive.(ii) The probability that the first blood sample that tests positivetomorrow will be the ninth sample tested.(c) The number of flaws in a fibre optic cable follows a Poisson distributionwith parameter A = 1.25. Calculate by hand the probability that thereare two or fewer flaws in such a fibre optic cable, giving your answercorrect to three decimal places. Show your working.

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: (b) Records show that 6% of blood…

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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To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters. Profit =(New accounts opened x _______)-_________ Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.) What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees
Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. The value of x is 3. (Type an integer or a decimal. Do not round.) The value of p is 0.28 . (Type an integer or a decimal. Do not round.) Question The value of q is (Type an integer or a decimal. Do not round.) Enter your answer in the answer box and then click Check Answer. CinclCh 48 étv 1450
ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 sales
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)
Diet Dr.Pepper is going old school and putting a "Free DP" notification under 10% of their 20-oz bottle caps. If I purchase a 6-pack of 20-oz bottles, what is the probability that I win at least two free drpeppers?
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
The annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance? Upload your answer with your work and explanations here
Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting Corona virus, when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the result will imply s/he has the Corona virus.) If 0.5 percent of the population in King County has the virus, what is the probability a person has the virus given that his or her test result is positive?
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