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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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 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)?
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
Suppose that 70% of Americans support the death penalty for persons convicted of murder. Let p> (p hat) be the sample proportion of proportion of people who support the death penalty in an SRS of Americans. Suppose we set our sample size to be n=84. What is the probability of choosing an SRS in which between 65% and 73% of the people in the people in the sample support the death penalty? That is, find P(0.65<p(phat)<0.73). Show your work and box your answer.
A certain insecticide kills 80% of all insects in laboratory experiments. A sample of 6 insects is exposed to the insecticide in a particular experiment. Assume the binomial situation. What is the probability that exactly one insect will die? P(X=1)?

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