Suppose a math class contains 42 students. There are 20 females (five of whom speak Spanish) and 22 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? 5 20 = 0.25 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? ( 22 syntax incomplete. 3. What percent of Spanish speaking students are male? Give answer as a decimal. 4. If someone does not speak Spanish what is the probability they are female?

Advanced Engineering Mathematics
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Suppose a math class contains 42 students. There are 20 females (five of whom speak Spanish) and 22
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?
5
20
= 0.25
2. What is the probability that a randomly selected student does not speak Spanish, given that the student
is male?
(
22
syntax incomplete.
3. What percent of Spanish speaking students are male? Give answer as a decimal.
4. If someone does not speak Spanish what is the probability they are female?
Transcribed Image Text:Suppose a math class contains 42 students. There are 20 females (five of whom speak Spanish) and 22 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? 5 20 = 0.25 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? ( 22 syntax incomplete. 3. What percent of Spanish speaking students are male? Give answer as a decimal. 4. If someone does not speak Spanish what is the probability they are female?
Expert Solution
Step 1

To answer these we can make a table containing the given information, then calculate the other information:

 

  SPANISH NON-SPANISH TOTAL
MALE 2 22 - 2 = 20 22
FEMALE 5 20 - 5 = 15 20
TOTAL 2 + 5= 7 20 + 15 = 35 42
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