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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Answered: Example 9.6 For a binomial distribution…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.)
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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.
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 X

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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.