Suppose a math class contains 42 students. There are 22 females (two of whom speak Spanish) and 20 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?  2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?     3. What percent of Spanish speaking students are male? Give answer as a decimal.

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

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.…

Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction