6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?

Algebra and Trigonometry (MindTap Course List)
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Chapter14: Counting And Probability
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6. A survey is sent out to 1,000 participants. They are each asked two questions:
Do you have a degree in computer science?
Do you have a job working as a computer programmer?
All 1,000 participants responded. 415 of them said they have a job working as a
computer programmer. Of those who said they have a job working as a computer
programmer, 60% reported having a degree in computer science. Of those who said
they do not have a job working as a computer programmer, 30% reported having a
degree in computer science. What is the probability that someone has a job as a
computer programmer, given they have a degree in computer science?
Transcribed Image Text:6. A survey is sent out to 1,000 participants. They are each asked two questions: Do you have a degree in computer science? Do you have a job working as a computer programmer? All 1,000 participants responded. 415 of them said they have a job working as a computer programmer. Of those who said they have a job working as a computer programmer, 60% reported having a degree in computer science. Of those who said they do not have a job working as a computer programmer, 30% reported having a degree in computer science. What is the probability that someone has a job as a computer programmer, given they have a degree in computer science?
5. Suppose you invent a new programming language. You allow variables to be created
that are of at least three characters, but no more than five characters in length. The
characters can be capital or lowercase letters, numerical digits, or one of the special
characters in the set {!, ?, , &, #, %}. The first character in a variable cannot be a
special character.
a.) How many variables, in total, can be created in this programming language? (If you
prefer, you can leave your answer as an expression rather than as a single number. For
3 ( 54 ) 3 would be acceptable in place of the evaluation of this
example
expression, which would be 472,392.)
b.) Recompute your answer, but now assume that characters cannot be repeated.
Assume, still, that the first character cannot be one of the special characters.
Transcribed Image Text:5. Suppose you invent a new programming language. You allow variables to be created that are of at least three characters, but no more than five characters in length. The characters can be capital or lowercase letters, numerical digits, or one of the special characters in the set {!, ?, , &, #, %}. The first character in a variable cannot be a special character. a.) How many variables, in total, can be created in this programming language? (If you prefer, you can leave your answer as an expression rather than as a single number. For 3 ( 54 ) 3 would be acceptable in place of the evaluation of this example expression, which would be 472,392.) b.) Recompute your answer, but now assume that characters cannot be repeated. Assume, still, that the first character cannot be one of the special characters.
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