Example 9.6 For a binomial distribution the mean is 4 and variance is 2. Find probability of getting (i) at least 2 successes, (ii) at the most 2 successes.
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- 4 Thirty five percent of the students in a class of 100 are planning to go to graduate school, Find the variance of this binomial distributionAustin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
- Number 1please send correct answer for Q4Children being exposed to unsafe levels of lead exposure is thought to be to an environmental factor increasing the chance of a child being diagnosed with ADHD. During the 1990s about 0.3% of children were exposed to unsafe levels of lead (usually from lead pipes). 3. If we let X = the number of children in our study with exposure to unsafe levels of lead we can use the binomial distribution to model the probability distribution of X. Explain why using the definition of Binomial from your notes. (Recall we randomly selected the 425 children and the probability a child is exposed is 0.3%. 4. The researchers found that 5 children in the study had unsafe levels of lead in their blood, Find the probability that in a random sample of 425 children we find at least 5 that have exposure to unsafe levels of lead. 5. Is it unusual to find at least 5 that have exposure to unsafe levels of lead? Explain showing work.
- 78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America Find the variance of the binomial distribution. σ2=nothing (Round to the nearest tenth as needed.)A racing car consumes a mean of 100 gallons of gas per race with a variance of 64. If 44 racing cars are randomly selected, what is the probability that the sample mean would be greater than 98.8 gallons? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Statistical Tables Binomial Probabilities Binomial Cumulative ▾ Poisson Probabilities Poisson Cumulative Tables Keypad Keyboard Shortcuts Binomial Probabilities (n=1) Probability of Success or p 0.4 0.5 X 0.3 0.1 0.2 0.6 0 0.9000 0.8000 0.7000 0.6000 0.5000 0.4000 0.7 0.8 0.9 0.3000 0.2000 0.1000 1 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 XQ43. If the difference between three times of mean and three times of variance is two for a binomial probability distribution for 6 trials then the probability of getting exactly 5 success is? < (a) (b) 2 35 4 35 25 36 (d) none of the above
