Q43. 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? 2 (a) 35 (b) 35 4 25 36 (d) none of the above
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- If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability that X is less than 15?Example 42. Show that for the Binomial distribution with parameters n and p : (a) Variance is less than mean ; (b) Variance cannot exceed n/4.The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer. What is the probability that the sample mean would be less than 33.8 dollars if a sample of 96 5-gallon pails is randomly selected? Round your answer to four decimal places.
- You decided to plant roses. The probability that a planted roses seedgerminates is 0.80. You plant nine seeds and let the binomial random variable X denotes the number ofroses seeds that successfully germinate. What is the average number of roses you could expect togerminate? What is the variance and standard deviation of X?You have 4 means, and you want to compare each mean to every other mean. (a) How many tests total are you going to compute? (b) What would be the chance of making at least one Type I error if the Type I error for each test was .05 and the tests were independent? (relevant section & relevant section ) (c) Are the tests independent and how does independence/non-independence affect the probability in (b)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 distribution
- 2Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.5.
- Children 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.Q3 Fast and correct8. Describes the probability of a particular outcome in a series of experiment where the outcome has two distinct possibilities, success or failure. A. Exponential distribution B. Normal distribution C. Probability distribution D. Binomial distribution