About 60% of people with a traumatic brain injury experience depression. If you select 50 random with brain injury, what is the probability that more than 35 of them will experience depression?What is the probability that exactly half of them (that is, 25 of the 50) experience depression?
Added by Robyn P.
Close
Step 1
.., 50) and then sum them up. First, let's calculate the probability of exactly 35 people experiencing depression. This can be calculated using the binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where n is the number of trials (50), k Show more…
Show all steps
Your feedback will help us improve your experience
Ivan Kochetkov and 91 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An anonymous source reported that 90% of BZU students suffers from depression. If 20 students are selected randomly, what is the probability that half of them suffers from depression?
Madhur L.
49 out of 126 people suffered some type of depression last year. Find the probability that if you pick 5 people they all had some type of depression. (3 decimals) Show your work.
Adi S.
From the 2017 National Survey on Drug Use and Health, the prevalence of major depressive episodes among adults in the United States is estimated to be 7.1%. Suppose that 2,250 adults were randomly selected for a new study on testing the effectiveness of a new treatment. (Source: U.S. Department of Health and Human Services. Major Depression. National Institute of Mental Health. https://www.nimh.nih.gov/health/statistics/major-depression.shtml) What is the expected value for the proportion of those suffering from depression for our sample, based on what we know about the population proportion?
Sanchit J.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD