The binomial distribution that has a probability of success equal to .20 would be left skewed for sample size 20. True O False
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- Aleks spins a 9 sided spinner 56 times. Each of the nine sides has a different colour on it. He records the number of times that he spins the colour purple. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.Please show the steps on how to solve it.How much number is trials if a Binomial distribution has mean of 7 and variance 6
- The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. 68.04, 78.59, 68.11, 82.54, 80.06, 87.54, 100.71, 99.22 (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is (Round to two decimal places as needed.) Part 2 (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. There is a enter your response here% probability that the mean travel tax for all cities is between $enter your response here and $enter your response here. B. One can be enter your response here% confident that the mean travel tax…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.For binomial distribution, the mean is 4 and n = 8. what is π for this distribution?
- Suppose that you take a sample of size 40 from a population that is normally distributed. Can the sampling distribution of x̄ be approximated by a normal probability distribution? What if the population was not normally distributed, can the sampling distribution of x̄ be approximated by a normal probability distribution?Q3 Fast and correctA geologist measures the diameters of a large random sample ofn pebbles in an old stream bed. We know that the diameters of these pebbles are normally distributed but the population mean and variance are unknown. What sampling distribution would you use to answer any probability questions about the sample mean? What sampling distribution would you use to answer any probability questions about the sample variance?
- The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.11, 79.43, 69.18, 83.42, 80.57, 86.88, 100.51, 97.95 B) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.For a marketing research it is known that the proportion women who use personal care products is 0.40 and the proportion of men is 0.25 for a sample of 500 women and 400 men chosen at random, who follow a binomial distribution. Calculate the value of the difference between the sample proportion by gender so that the probability is less than 0.9975?In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 230 or fewer will have 2 girls? Approximate a binomial distribution with a normal distribution.