Side Note: there are 2919 total patients. Not sure if this information is needed.
in this problem part b we have to find out P(X<10) as "less than 10 patients develop SSI in a month " is our event.
In the Seasonal Effect data set, an average of 20 patients develop an SSI each month....
Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, calculate the probability that three randomly selected patients all contract an SSI in each of the following two ways: Using counting rules and probability trees (10%) Using the binomial distribution (hint: n=3, p=0.0826) (10%) Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, in a random selection of 10, calculate the following probabilities,...
Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, in a random selection of 10, calculate the following probabilities, from a binomial distribution with parameters n=10 and p=0.0826. Show all work. Identify the complement of {X≥1} and use the rule of complements to calculate the probability that at least 1 patient contracts an SSI, P(X≥1) (10%) probability that more than 1 but less than 5 patients contract an SSI, P(1<X<5) (10%)...
The average BMI of the 241 patients who contracted an SSI in the Seasonal Effect data set is approximately 27.9 with a sample standard deviation of approximately 6.53. Use this information to answer questions 4-6. 4. Use the Central Limit Theorem to calculate the standard error of the sample mean of the sample of 241 patients. Show your work. (5%) Please explain the steps as well so I understand.
In studies for a medication, 14 percent of patients gained weight as a side effect. Suppose 608 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 86 patients will gain weight as a side effect. (b) no more than 86 patients will gain weight as a side effect. (c) at least 98 patients will gain weight as a side effect. What does this result suggest? (a) P(86)= (Round to four decimal...
Attached below is the 2-way frequency table for Season and SSI, also called the joint frequency table, from the Seasonal Effect data set. Use this data to answer question 6. Seasonal Effect No SSI Yes SSI Spring 0.280 0.022 Summer 0.223 0.020 Autumn 0.128 0.009 Winter 0.287 0.032 6. Calculate the following probabilities for a randomly selected patient from the study: a. The patient’s surgery occurred in the Summer and they did not have an SSI (10%) b. The patient...
In studies for a medication, 9 percent of patients gained weight as a side effect. Suppose 631 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 57 patients will gain weight as a side effect. (b) no more than 57 patients will gain weight as a side effect. (c) at least 70 patients will gain weight as a side effect. What does this result suggest? (a) PO ound to four decimal...
In studies for a medication, 5 percent of patients gained weight as a side effect. Suppose 670 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 34 patients will gain weight as a side effect. (b) no more than 34 patients will gain weight as a side effect. (c) at least 47 patients ill gain weight as a side effect. What does this result suggest? (a) P(34)- |Round to four decimal...
In studies for a medication, 12 percent of patients gained weight as a side effect. Suppose 431 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 52 patients will gain weight as a side effect.(b) no more than 52 patients will gain weight as a side effect. (c) at least 61 patients will gain weight as a side effect. What does this result suggest? (a) P(52)=
Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients per week that visit the health center. A) State the distribution of the random variable defined above B) Compute the probability that during a randomly selected week exactly 280 patients visit the health care center C) Compute the probability that during a randomly selected week at...
2. (Discrete distributions, 20 points, 20/3 pts each). From a recent statistical analysis for the last five years, on an average there are 4.1 (major) air accidents per month in the world. Let X be the number of air accidents occurred in a randomly selected month. It is known that X-Poisson() approximately, where the intensity 2. = 4.1 accidents (average number of accidents per month). Find the probability that there will be 4 or more air accidents (1) in a...