A student is taking an exam with 10 true/false questions; the student is guessing on every question, with a 1/2 probability of getting each question right. To pass, the student needs to answer at least 7 out of 10 questions correctly. What is the expected number of correct answers, conditioned on the student passing?

In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 217 answered "none," 293 said "one," 369 said "two," 150 said "three," and 73 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05. P(four or more cell phones) =| (Round to three decimal places as needed.) Is it unlikely for a household to have four or more cell phones in use? A. No, because the probability of a respondent with four or more cell phones in use is greater than 0.05. B. Yes, because the probability of a respondent with four or more cell phones in use is greater than 0.05. O C. Yes, because the probability of a respondent with four or…

Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.54 probability of guessing any one game correctly.What is the probability Mr. Keller will pick all 32 of the first round games correctly? What is the probability Mr. Keller will pick exactly 3 games correctly in the first round? What is the probability Mr. Keller will pick exactly 24 games incorrectly in the first round?

In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green. If you spin this spinner 17 times. What is the expected number of times it will land on green?

A researcher is selecting lab rats for her experiment.  She assigns each rat a number and picks numbers out of a hat while blindfolded.  The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female  spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.

You took a multiple-choice math test where there were 10 questions and each question had 4 answers to chose from (but only one of them was correct).  What is the probability that you get exactly 9 correct? Be sure to identify your variables.

A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).