3 students apply to a PhD program.  The program rejects 25% 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=25% and n=3, and conditional probability)

A variable measured someone’s stress level, the variable has the following values: Not stressed at all, only a little stressed, stressed, and very stressed.   This variable type is This variable’s categorization is

A pediatrician would like to study cholesterol level in children 2 to 6 years of age. He selected 5 patients and found their cholesterol levels to be: 185, 225, 250, 196, 179 The sample standard deviation of cholesterol level of this group of patients is? round your answer to 4 decimal places.

A pediatrician would like to study cholesterol level in children 2 to 6 years of age. He selected 5 patients and found their cholesterol levels to be : 185, 235, 210, 206, 169 The sample standard deviation of cholesterol level of this group of patients is? round your answer to 4 decimal places.

For a sampling distribution for proportions you cannot assume it follows a normal distribution if p-hat times sample size and 1-phat times sample size are both greater than ten.

A student at a college administers a survey to estimate the average number of miles driven weekly among on-campus students at USF. The student sends a questionnaire to the 35th person in each sampling interval, from a complete list of on-campus students provided by the registrar. What type of sampling has occurred?

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 13 hours using electronic devices a day? (round your answer to 4 decimals)

You can assume that a representative random sample taken from a population that is known to follow a normal distribution also follows a normal distribution.

Based on the following research question: Is someone more likely to lose weight because they go to they gym at least 4 days per week?   The variable amount of weight lost The variable go to the gym at least 4 days a week

Based on the following research question: Is an interest in playing video games caused by being introduction to STEM fields at an early age?   The variable do you play video games The variable age introduced to STEM fields