3. In a certain community, 36% of all the families have a dog and 30% have...
In a certain community, 35% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 32% of all the families own a cat. What is the probability that a randomly selected family owns a dog? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
26. DISTRIBUTION OF FAMILIES BY SIZE The Public Housing Authority in a certain community conducted a survey of 1000 families to determine the distribution of families by size. The results follow: Family Size 4 Frequency of Occurrence 350 200245 125 66 104 a. Find the probability distribution of the random vari- able X, where X denotes the number of people in a randomly chosen family. b. Draw the histogram corresponding to the probability distribution found in part (a). e. Find...
A survey was conducted in which 125 families were asked how many cats lived in their households. The results are shown below. a) What is the probability that a randomly selected family has one cat? b) What is the probability that a randomly selected family has more than one cat? c) What is the probability that a randomly selected family has cats? d) Is this an example of classical, empirical, or subjective probability? Number of Cats Number of Households 0...
5. Suppose 85% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Treat all batteries and flashlights as independent of each other. (a) In 20 randomly selected batteries, what is the probability that 19 or 20 have acceptable voltages? (b) Suppose 20 randomly selected batteries are placed into 10 flashlights. What is the probability that at least 9...
I. At a certain school, 60% of the students wear neither a ring nor a necklace, 20% wear a ring, 30% wear a necklace. Compute the probability that a randomly selected student wears (a) a ring or a necklace; (b) a ring and a necklace 2. A school offers three language classes: Spanish (S), French (F), and German (G). There are 100 students total, of which 28 take S. 26 take F, 16 take G, 12 take both S and...
6. Of all people in one population, 21% have high blood pressure and 36% are overweight. In addition, 42% of people who are overweight also have high blood pressure. Let H represent the event that a person has high blood pressure, and O represent the event that a person is overweight. In each part of this question, you must first express each probability in terms of the events Hand O and justify any computation through the use of a formula....
Consider the population of all families with two children. Represent the gender of each child using G for girl and B. The gender information is sequential with the first letter indicating the gender of the older sibling. Thus, a family having a girl first and then a boy is denoted GB. If we assume that a child is equally likely to be male or female, what is the probability that the selected family has two girls given that the older sibling is a girl?
A telephone survey of American families is conducted to determine the number of children in the average American family, Past experience has shown that 30% of the families who are telephoned will refuse to respond to the survey. Which of the following statements is not a binomial random variable? A. The number of families out of 50 who refuse to respond to the survey. B. All of the choices are binomial random variables. C. The number of children in a...
3. A study of community college enrollments in a certain state finds that 60% of all full-time undergraduates are less than 20 years of age. If a random sample of four community college students is selected from this state, find the probability that at least three of the students are less than 20 years of age. Consider a random sample of 15 community college students from this state. (i) What is the expected number of students under 20 years of...
Areseader turd tat 55% of families in the United States have one chad under the age of 21, 22 15% have three chden under the age of 21, 5% have 4 chldren under the age of 21and 396 have 5 or tamily is selected at random, what is the probability the family has more than 3 children under the age of 21? (Express your answer as a Please icide to % symbol) %have two children under the age of 21...