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(two points) The bi-monthly salaries for the 12 workers at my local Chick Fil-A are as follows:Worker 1 and 7Worker 2, 8 & 9Worker 3Worker 4, 10, 11, 12Worker 5Worker 67746651150586591612Calculate the measures of variability: range, variance, and standard deviation. Create a frequencydistribution table that includes relative and cumulative relative frequency. Then create a graph of your choosing.
(two points) I had 15 students last term who earned the following grades: 98 85 89 73 72 85 85 92 85 What is the 5 numbers summary for these students? Create a box plot for the data.8. (two points) I developed an achievement test and normalized it on people throughout the country over a year. My test has scores that are normally distributed with a mean of 100 and a standard deviation of 20.a.Find the probability that a randomly selected adult has IQ < 115b.Find the probability that a randomly selected adult has IQ > 70c.Find P30,which is the IQ score at the 30th percentile.d.What percentage of adults have scores between 80 and 120?9. (two points) Ten peas are generated from parents having the green/yellow pair of genes so there is a 75% probability that an individual pea will have a green pod. Find the probability that among the 10 offspring peas, no more than 6 have green pods.10. (two points) I always wanted to give away my vast wealth, so I am going to have a lottery next year. You have to pick the five winning numbers from 1-35. Each randomly selected numberis different and order doesn’t matter. What is the probability of your winning?11. (two points) In a study of families with children with disabilities, group of 5 US households were randomly selected. In the table below, the random variable x represents the number of households among 6 that had a child with a disability living there. xP(x)00.0210.1520.2930.3140.23a)Is this a probability distribution? 97 92 93 95 86 87
What is the mean?c)What is the standard deviation?12. (two points) I am going to roll two fair dice. a)List the sample spaceb)What is the probability that I will roll a 3 on one of them when I roll both at the same time?c)What is the probability that I will rollno more thana sum of 7 when I roll them both?d)Define mutually exclusive e)Define independent