In one study on the effect of Dyazide on blood pressure leve…

In one study on the effect of Dyazide on blood pressure level, 25 subjects were randomly chosen to receive Dyazide and 25 were chosen to receive a placebo. These subjects were later examined to check for differences in their blood pressure levels. In a second study, 200 subjects who reported taking Dyazide for a long period of time had their blood pressure levels compared with those of 200 people who had never taken Dyazide. Which of the following statements is correct?

It is known that people in the USA spend on average 18 hours…

It is known that people in the USA spend on average 18 hours a day using electronic devices with a standard deviation of 5.8 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 rejects 45%…

4 students apply to a PhD program.  The program rejects 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 rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)   What is the standard deviation of the random variable?  (round your answer to 4 decimal places)

3 students apply to a PhD program.  The program rejects 65%…

3 students apply to a PhD program.  The program rejects 65% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 3 students who get rejected into the PhD Program.    What is the probability that 1 student is rejected to the program if it is known that at fewer than 2 students will be rejected? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=65% and n=3, and conditional probability)

It is known that people in the USA spend on average 15 hours…

It is known that people in the USA spend on average 15 hours a day using electronic devices with a standard deviation of 4.75 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)

4 students apply to a PhD program.  The program accepts 70%…

4 students apply to a PhD program.  The program accepts 70% 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. (Hint: Binomial distribution with n=4, P=70%)   What is the probability that less than 2 students are accepted to the program? (round your answer to 4 decimal places)