It is known that people in the USA spend on average 17 hours…

It is known that people in the USA spend on average 17 hours a day using electronic devices with a standard deviation of 7 hours. This data follows a normal distribution. What is the probability someone spends more than 13 hours using electronic devices a day if it is known that they spend less than 20 hours using electronic devices a day? (round your answer to 4 decimals) (Hint: Normal distribution and conditional probability)

It is known that people in the USA spend on average 17 hours…

It is known that people in the USA spend on average 17 hours a day using electronic devices with a standard deviation of 7 hours. This data follows a normal distribution. What is the probability someone spends less than 20 hours using electronic devices a day if it is known that they spend more than 13 hours using electronic devices a day? (round your answer to 4 decimals) (Hint: Normal distribution and conditional probability)

4 students apply to a PhD program.  The program accepts 45%…

4 students apply to a PhD program.  The program accepts 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 4 students who get accepted into the PhD Program.   What is the probability that 1 student is accepted to the program if it is known that at fewer than 2 students will be accepted? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=45% and n=4, and conditional probability)

Five hundred women are enrolled in a study to evaluate the a…

Five hundred women are enrolled in a study to evaluate the accuracy of a test for pregnancy. 200 of the women were actually pregnant. 170 of the pregnant women had a positive test as did 140 of the women who were not pregnant. What is the probability (i.e., specificity) that a woman tested negative on a test given that she is not pregnant? Test                         Pregnant? Yes No Total + 170 140 310 – 30 160 190 Total 200 300 500

A sample of 2500 patients were taken to assess a medical tes…

A sample of 2500 patients were taken to assess a medical test.  27% of the sample have the disease, 563 patients have the disease and tested negative, and 235 patients do not have the disease and tested negative. What is the probability someone has the disease if it is known they have a positive test?  (round your answer to 4 decimal places)