Statistics STA 2014 Week 8 Individual Work Assignment
STA 2014 Week eight Particular person WorkGoal:Interpret likelihood fashions for random variables.Part 6.120. Ready in Line: A Wendy’s supervisor carried out a examine to find out a likelihood distribution for the variety of individuals, X, ready in line throughout lunch. The outcomes have been as follows:.jpg">(a) Confirm that it is a discrete likelihood distribution.Reply:(c) Compute and interpret the imply of the random variable X.Reply:(d) Compute the usual deviation of the random variable X.Reply:(e) What is the likelihood that eight individuals are ready in line for lunch?Reply:Part 6.236. People who smoke: In response to the American Lung Affiliation, 90% of grownup people who smoke began smoking earlier than turning 21 years previous. Ten people who smoke 21 years previous or older are randomly chosen, and the quantity of people who smoke who began smoking earlier than 21 is recorded.(a) Clarify why it is a binomial experiment.Reply:(b) Discover and interpret the likelihood that precisely eight of them began smoking earlier than 21 years of age.Reply:(c) Discover and interpret the likelihood that fewer than eight of them began smoking earlier than 21 years of age.Reply:(d) Discover and interpret the likelihood that a minimum of eight of them began smoking earlier than 21 years of age.Reply:(e) Discover and interpret the likelihood that between 7 and 9 of them, inclusive, began smoking earlier than 21 years of age.Reply:Part 7.136. You Clarify It! Miles per Gallon: Elena conducts an experiment by which she ?lls up the gasoline tank on her Toyota Camry 40 instances and information the miles per gallon for every ?ll-up. A histogram of the miles per gallon signifies that a regular distribution with a imply of 24.6 miles per gallon and a regular deviation of three.2 miles per gallon may very well be used to mannequin the gasoline mileage for her automotive.(a) The ?gure represents the traditional curve with m = 24.6 miles per gallon and s = three.2 miles per gallon. The realm beneath the curve to the proper of x = 26 is zero.3309. Present two interpretations of this space..jpg">Reply:(b) The ?gure on the prime of the following column represents the traditional curve with m = 24.6 miles per gallon and s = three.2 miles per gallon. The realm beneath the curve between x = 18 and x = 21 is zero.1107. Present two interpretations of this space. .jpg">Reply:Part 7.234. Assume that the random variable X is often distributed, with imply m = 50 and commonplace deviation s = 7. Discover the 90th percentile for X.Reply:Part 7.four22. People who smoke: In response to the Data Please Almanac, 80% of grownup people who smoke began smoking earlier than they have been 18 years previous. Suppose 100 people who smoke 18 years previous or older are randomly chosen. Use the regular approximation to the binomial to:(a) approximate the likelihood that precisely 80 of them began smoking earlier than they have been 18 years previous.Reply:(b) approximate the likelihood that a minimum of 80 of them began smoking earlier than they have been 18 years previous.Reply:(c) approximate the likelihood that fewer than 70 of them began smoking earlier than they have been 18 years previous.Reply: