If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then thegeometric distribution can be used. The probability of getting the first success on the xth trial is given byP(x) = p(1-p)*-1, where p is the probability of success on any one trial. Subjects are randomly selected for a healthsurvey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.12. Find theprobability that the first subject to be a universal blood donor is the eighth person selected.The probability is(Round to four decimal places as needed.)

Answered: If a procedure meets all of the…

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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2. Let the random variables Y, Y,, ...,Y, be normally distributed with mean 10 and variance 4. Find a valuek such that Σ ;- 10 2
COVID-19 vaccination is important to help stop the COVID-19 pandemic. A survey conducted showed that only 15% of the Dehli community disagree with the COVID-19 vaccination program. Twenty people of the Dehli community were randomly selected.Let Y be the number of people who disagree with the newly COVID-19 vaccination program among the selected Sirdang community. a. state the distribution of Y and give its probability distribution function b. what is the probability that all of them agree with the vaccination program? c. calculate the probability of Y not exceeding its mean.
Millo.09.
Side-by-Side According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3 : I ratio. That is, cach plant has probability of having red blossoms, and the blossom colors of separate plants are independent. (c) What is the probability of obtaining at least 45 red-blossomed plants when 60 plants are grown from seeds? Use the Normal approximation. O 0.45 O 0.65 O 0.75 O 0.50
A system consists of four parts that work independently of each other. Working probabilities of these parts are given as 0.9 , 0.8 , 0.7 and 0.6, respectively. If the random variable X is defined as the total number of parts working in this system, calculate the probabilities P {X>0}, P {X=2} , the expected value and the variance.
A manufacturing company takes a random sample of n = 100 bolts from their production line. X is the number of bolts that are found defective in the sample. It is known that the probability of a bolt being defective is 0.003. Does X have a binomial distribution? O Yes. No, because the probability of success for each trial is not the same. No, because the trials are not all independent. No, because there is not a fixed number of trials. No, because there are more than two possible outcomes for each trial.
What is the probability that a randomly selected rating is more than 3 stars? P(X>3)?
We are playing a game. I randomly say a whole number and if you guess its parity (odd or even) correctly, we spin a wheel which signifies the money you are going to win. (distributed uniformly randomly between 0 and 1000 Rupees). And if your guess is wrong, you must give me 200 rupees. Your profit is determined by the random variable X. Find and graph the distribution of X (CDF) and hence determine the probability of you not winning at least 500 rupees.
Mike has a deck of standard poker cards with some cards missing. He wants to estimate the probability, p, of drawing a spade. Every day he makes an experiment. At the end of each experiment, he records the maximum likelihood estimator of the probability of observing a spade and places the drawn card back and shuffles the deck. Let X; be a random variable, taking value 1 if the i-th card draw of an experiment results in an even number and 0 if it results in an odd number. Clearly, X, ~ Bernoulli(p). Recall the MLE of a Bernoulli is p MLE The following are the outcomes of 5 experiments, one of which involved 8 card draws, two of which involved 6 card draws and two of which involved 4 card draws. Which experiments lead to the same MLE of p? Select all that apply. O (1 = 0, x2 = 1, r3 = 0, x4 = 0, r; 1, 6 = 0, x7 = 1, Is = 1, xg = 0, r10 = 1, 111 = 0, 112 = 0) O (1 = 1, a2 = 0, r3 = 1, x4 = 1) O ( = 0, x2 = 0, r3 = 0, r4 = 0) O (21 = 0, x2 = 1, £3 = 0, T4 = 0, x5 = 0, x6 = 0, r7 = 1, rg 0)…
What is the probability of getting at least a 3 star review, P(x≥3) ?
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. Jodi is a good student for whom p = 0.75. (a) Use the Normal approximation to find the probability that Jodi scores 70% or lower on a 100-question test. (Round your answer to four decimal places.)(b) If the test contains 250 questions, what is the probability that Jodi will score 70% or lower? (Use the normal approximation. Round your answer to four decimal places.)(c) How many questions must the test contain in order to reduce the standard deviation of Jodi's proportion of correct answers to half its value for a 100-item test? questions
A process yields 10% defective items. If 100 items are randomly selected from the process, use normal approximation to find the following probabilities, where X is a binomial random variable. QUESTION: 1. The number of defectives exceeds 13. NOTE: Answer in 4 decimal places. 2. The number of defectives is less than 8. NOTE: Answer in 4 decimal places.

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