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The CBEST is a test that individuals in California must take…

The CBEST is a test that individuals in California must take before they can become substitute teachers at the K-12 level. One portion of the exam is devoted to mathematics and it consists of 50 multiple choice questions that each have 5 possible options. Suppose Jim took the CBEST test and decided to randomly guess on all 50 questions. Use this information to answer the following question.  What is the probability that Jim gets at most 20 questions correct?  Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

A survey was taken of students enrolled in STEM classes at T…

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey lives in Taft given that they are an engineering major?   Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123. 

IQ scores are normally distributed with a mean of 100 and a…

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Use this information to answer the following question. What is the probability that a randomly selected person will have an IQ score of at least 90? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

A survey was taken of students enrolled in STEM classes at T…

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey lives in Bakersfield and is a biology major?    Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123.