Children’s Gender. A certain couple is equally likely to have either a boy or a girl. If the family has four children, let X denote the number of girls. a. Identify the possible values of the random variable X. b. Determine the probability distribution of X. (Hint: There are 16 possible equally likely outcomes. One is GBBB, meaning the first born is a girl and the next three born are boys.) Use random-variable notation to represent each of the following events. Also use the special addition rule and the probability distribution obtained in part (b) to determine each event’s probability. The couple has c. exactly two girls. d. at least two girls. e. at most two girls. f. between one and three girls, inclusive. g. children all of the same gender.

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.

Suppose 12% of people prefer the look of LCD screens to MicroLED screens. If 2 people are randomly selected (assume independence), determine the probability that the first person or second person prefers LCD screens, i.e. find P(L1 or L2) A. 0.226 B. 0.088 C. 0.122 D. 0.156 E. 0.240

The probability of randomly choosing a tea drinker who has a college degree. Assume that you are choosing from the population of all tea drinkers. The probability of choosing.... a. a tea drinker who is not in college  b. a college graduate who does not drink tea c. a tea drinker who is in college  d. a tea drinker who does not have a college degree

67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample.     a. What is the probability that out of 6 randomly selected students at most 2 are male?   b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.

Pet owners often have more than one type of pet. A recent survey shows that 70% own a dog, 44% own a cat, and 30% own both a dog and cat. Suppose a person is randomly selected. Determine the probability this person 1. has a dog or a cat or both. 2. does not have a dog nor a cat. 3. only has a dog. 4. Given the person has a dog, what is the probability that this person has a cat?

Provide an appropriate response. In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center. O 0.571 0.092 0.207 0.600

At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch to​ work, while only 3​% of the men bring lunch. Find the probability that a randomly selected employee is a woman given that the person brings their lunch to work.   A. 0.150 B. 0.011 C. 0.708 D. 0.292 E. 0.070