Control of temperature, of autonomic nervous reflexes, of hunger, and of sleep are functions associated with the

Researchers are concerned about the prevalence of hypertension among a population of elderly patients at a cardiovascular clinic aged 45-60. Suppose the prevalence of hypertension in the group is actually quite high at 38%. Assume that a sample of 14 participants is collected. Use a binomial distribution to solve for the following. a) What is the expected number of participants in this age range to report hypertension? (1 point)[16a] (Example answer #.##)   b) What is the probability associated with finding 7 responses indicating hypertension? (1 point)[16b] (Example answer .####)   c) What is the probability associated with finding between 5 and 8 responses indicating hypertension? (1 point)[16c] (Example answer .####) (hint x is 6 and 7)

Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. Use a binomial distribution to solve for the following.  a) What is the probability of finding no one with depressive-like symptoms in a sample of 8?  (1 point)[14a] (Example answer .####)    b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms? (1 point)[14b] (Example answer .####)    c) What is the expected number of adolescents in the sample to report the symptoms? (1 point)[14c] (Example answer #.##)

Suppose we want to sample a neighborhood for a community needs assessment. The neighborhood has 9 subdivisions and 4 of the 9 are to be collected for household sampling. How many different ways can we select these households? (1 point)

HIV/AIDS patients are regularly monitored for their CD4 counts in order to make sure that antiretroviral therapies are effective. Suppose the distribution of CD4 counts in a population is approximately normal with µ=299 and σ=45. a) HIV patients are defined as moving into the AIDS stage of their disease course after their CD4 counts are ≤ 200. What proportion of patients in this population is suffering from an AIDS diagnoses? (1 point)[15a] (Example answer .####)  b) HIV positive patients maintaining a CD4 count over 400 can frequently carry on regular lives with complications mostly limited to medication side effects. What proportion of patients in this population is considered healthy? (1 point)[15b] (Example answer .####)

The cumulative probability for the entire binomial distribution does not have to sum to 1. (1 point)

How many different Normal distributions are there? (1 point)

Find the area of the shaded region. The graph depicts the standard normal distribution with a mean of 0 and a standard deviation of 1.  

The probability of success, p, can change in repeated trials of a binomial distribution. (1 point)

Crayola has an eight pack of color crayons. The picture you are drawing only requires four colors and one piece of paper. Even though you only have one piece of paper theoretically; how many color variations could you create? (1 point)