Question

In: Statistics and Probability

In studies for a​ medication, 10 percent of patients gained weight as a side effect. Suppose...

In studies for a​ medication, 10

percent of patients gained weight as a side effect. Suppose 447 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 45 patients will gain weight as a side effect.

​(b) no more than 45 patients will gain weight as a side effect.

​(c) at least 54 patients will gain weight as a side effect. What does this result​ suggest?

Solutions

Expert Solution

(C) in part (c) , the probability is 0.063 , this means that There is very less chance that number of patients that have side effects is greater than 54.


Related Solutions

In studies for a​ medication, 7 percent of patients gained weight as a side effect. Suppose...
In studies for a​ medication, 7 percent of patients gained weight as a side effect. Suppose 403 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 29 patients will gain weight as a side effect. ​(b) no more than 29 patients will gain weight as a side effect. ​(c) at least 37 patients will gain weight as a side effect. What does this result​ suggest?
In studies for a? medication, 77 percent of patients gained weight as a side effect. Suppose...
In studies for a? medication, 77 percent of patients gained weight as a side effect. Suppose 513 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ?(a) exactly 20 patients will gain weight as a side effect. ?(b) 20 or fewer patients will gain weight as a side effect. ?(c) 42 or more patients will gain weight as a side effect. ?(d) between 20 and 50?, ?inclusive, will gain weight as a side...
In studies for a​ medication, 13 percent of patients gained weight as a side effect. Suppose...
In studies for a​ medication, 13 percent of patients gained weight as a side effect. Suppose 449 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 71 patients will gain weight as a side effect. ​(b) 71 or fewer patients will gain weight as a side effect. ​(c) 77 or more patients will gain weight as a side effect. ​(d) between 71and 80​, ​inclusive, will gain weight as a side effect.
In studies for a medication, 42% percent of patients gained weight as a side effect. Suppose...
In studies for a medication, 42% percent of patients gained weight as a side effect. Suppose 50 patients are randomly selected. Can we use the normal approximation to the binomial to approximate the probability that exactly 22 patients will gain weight as a side effect. If no, explain why. If yes, what mean and standard deviation do we use and what probability do we calculate? (dont actually calculate). Answer yes or no and follow up as requested?
In studies for a​ medication, 9 percent of patients gained weight as a side effect. Suppose...
In studies for a​ medication, 9 percent of patients gained weight as a side effect. Suppose 664 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 60 patients will gain weight as a side effect. ​(b) no more than 60 patients will gain weight as a side effect.​ (c) at least 74 patients will gain weight as a side effect. What does this result​ suggest?
In studies for a​ medication, 77 percent of patients gained weight as a side effect. Suppose...
In studies for a​ medication, 77 percent of patients gained weight as a side effect. Suppose 615 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 44 patients will gain weight as a side effect. ​(b) no more than 44 patients will gain weight as a side effect. ​(c) at least 56 patients will gain weight as a side effect. What does this result​ suggest?
In studies for a medication, 6% of patients gained weight as a side effect. Suppose 703...
In studies for a medication, 6% of patients gained weight as a side effect. Suppose 703 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that: A. Exactly 43 patients will gain weight as a side effect B. No more than 43 patients will gain weight as a side effect C. At least 57 patients will gain weight as a side effect. What does this result suggest?
in studies for amedication 15 percent of patients gained weight as a side effect. Suppose 533...
in studies for amedication 15 percent of patients gained weight as a side effect. Suppose 533 patients are randomly selected. Use the normal approximation to the binomial to approximate the probabilty that a) exactly 80 patients will gain weight as side effect b) no more than 80 patients will gain weight as side effect c) at least 91 patients will gain weight as side effect since 91 is ......(fewer) (more) than 15% of patients, this suggest that the proportion of...
Side Effects for Migraine Medicine In clinical trials and extended studies of a medication whose purpose...
Side Effects for Migraine Medicine In clinical trials and extended studies of a medication whose purpose is to reduce the pain associated with migraine headaches, 2% of the patients in the study experienced weight gain as a side effect. Suppose a random sample of 600 users of this medication is obtained. Explain why you can use normal approximation to binomial distribution to approximate the probabilities below. Approximate, up to 4 decimal digits, the probability that 20 or fewer users will...
Side Effects for Migraine Medicine In clinical trials and extended studies of a medication whose purpose...
Side Effects for Migraine Medicine In clinical trials and extended studies of a medication whose purpose is to reduce the pain associated with migraine headaches, 2% of the patients in the study experienced weight gain as a side effect. Suppose a random sample of 600 users of this medication is obtained. Explain why you can use normal approximation to binomial distribution to approximate the probabilities below. Approximate, up to 4 decimal digits, the probability that 20 or fewer users will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT