11. A pediatrician records the number of ear infections that his patients have during the winter. A distribution ofprobabilities for number of ear infections is displayed below.Number of ear infectionsProbability| 10.08340.080.280.350.160.030.02a) What is the probability that a patient has less than 4 ear infections during the winter?b) What is the mean of the probability distribution?12. A group of 330 people were surveyed. Their marital status was recorded along with answers to several questions. ODquestion asked was whether Social Life or Job contributes most to their general well-being. The results from this questionappear in the table below.Widowed or divorced56Single (never married)5733Married69Social LifeJob5461a) Find the probability that a randomly selected person chose Social Life.b) Find the probability that a randomly selected person is Married and chose Social Life.c) Find the probability that a randomly selected person chose Social Life given the person is Married.

Solution According to guidelines we solve only first question

Answered: 11. A pediatrician records the number…

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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At a local college, 32% of students are enrolled in a statistics course and 45% of students are enrolled in an accounting course. Also, 16% of students are enrolled in both statistics and accounting 1. What is the probability that a randomly selected student is in statistics or accounting. 2. What is the probability that a randomly selected student is in accounting, given that they are in statistics. 3. What is the probability that a randomly selected accounting student is in statistics. 4. What is the probability that a randomly selected student is not in either course.
Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
KE It is estimated that 1.9% of the parts produced by a certain factory's assembly line will be defective. If 700 parts are selected at random, find the probability that at least 10 parts are defective. Click here to view page 1 of the Areas under the Normal Curve Table. Click here to view page 2 of the Areas under the Normal Curve Table The probability that at least 10 parts are defective is (Round to four decimal places as needed.).
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show…
3. What is the law of large numbers? If you were using the relative frequency of an event 500 to estimate the probability of the event, would it be better to use 100 trials of trials? Explain. but probabilities
The chance of having a sister or a brother is equally likely. If you have four siblings, there are sixteen equally likely outcomes possible. Create a Probability Distribution to the outcomes based on the total number of sisters given you have 4 siblings Total Number of Sisters ..Probability .. List your outcomes (Total Number of Sisters) from least to greatest. Represent the probabilities using 4 decimal places
2. The probability model of the number of dinners that a typical American cook in a week is as follows. Number of dinners: 1 3 4 6. 7. Probability: 0.05 0.05 0.1 0.15 0.15 0.2 ? 0.2 Complete the probability table (find the missing probability)

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