Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.3, P(B) = 0.1, and P(C) = 0.6. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean variance (b) Answer part (a) for the number among the 100 who don't pay with cash. mean variance

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.3, P(B) = 0.1, and P(C) = 0.6. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean variance (b) Answer part (a) for the number among the 100 who don't pay with cash. mean variance

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...

See similar textbooks

Similar questions

V3
You've observed the following returns on Mary Ann Data Corporation's stock over the past five years: 38.50 percent, 20.50 percent, 23.50 percent, -25.50 percent, and 12.50 percent. a. What was the arithmetic average return on Mary Ann's stock over this five-year period? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Arithmetic average return b-1. What was the variance of Mary Ann's returns over this period? (Do not round intermediate calculations. Round the final answer to 6 decimal places.) Variance b-2. What was the standard deviation? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Standard deviation %
The distribution of number of goals scored per match in the 15 home and 14 away matches so far this season for one team in the English Premier Soccer League is shown below. HOME AWAY 2 4 Goals Scored Per Match Which of the following statements is true? (A) The mean number of goals scored in AWAY matches is less than the mean number of goals scored in HOME matches. (B) The range of goals scored for AWAY matches is greater than the range of goals scored for HOME matches. (C) The shape of the distribution of HOME goals scored is left-skewed. (D) The median number of goals scored for AWAY matches is more than the median number of goals scored for HOME matches. (E) The number of AWAY matches in which the team scored three or more goals is three.
(a ) Calculate the mean of the distribution . (b ) Calculate the 10% trimmed mean . ( c) Why is the trimmed mean a better summary of the center of this distribution than the mean?
Give a brief example of both a theoretical distribution of data.
Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance of the life spans of a population is one of the parameters used for the evaluation. Each year, the actuaries at a particular insurance company randomly sample 30 people who died during the year (with the samples chosen independently from year to year) to see whether the variance of life spans has changed. The life span data from this year and from last year are summarized below. Current Last Year Year x1 = 75.8 | x,= 76.2 si= 47.61 s3= = 92.16 (The first row gives the sample means and the second row gives the sample variances.) Assume that life spans are approximately normally distributed for each of the populations of people who died this year and people who died last year. Can we conclude, at the 0.05 significance level, that the variance of the life span for the current year, of, differs from the variance of the life span for last year, o,? Perform a two-tailed test. Then complete the…
Part 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false? 2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?
Twelve percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left-handed. In order to support his claim, he takes a sample of 1650 artists and finds that 14% of.them are left-handed. Español Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 1650. 00 (b) Find the standard deviation of p. (c) Compute an approximation for P (p s0.14), which is the probability that there will be 14% or fewer left-handed people in a random sample of 1650. Round your answer to four decimal places. Save For Later Submit Assignment Check Terms of Use Privacy Center Accessibility acer esc backspa
Two companies produce widgets of varying quality. An important measure of quality is the number of days the widgets can go before they need to be replaced. Do the following data provide evidence that the quality of widgets from the two companies differ? Round the p-value to three decimal places. Do not assume equal variances. Widget Life in Days from Company 1 Widget Life in Days from Company 2 12.0 52.2 14.0 45.8 48.4 44.6 47.0 57.5 50.4 44.2 57.4 50.8 30.8 43.0 30.0
What do the box plots tell you about the variability of the data? a. A has greater variability because its median and mean are greater than B b. B has greater variability because its range and IQR are greater tha c. B has greater variability because its median & mean are greater than A d. A has greater variability because its range & IQR are greater than B
Exercise 6. Below is a box plot of life expectancy in years for 142 countries in 2007. Life Expectancy (years) 80 70 60 50 40 (a) Using the box plot, estimate Q1, the median, Q3, and the IQR. Also, are there any potential outliers? (b) What characteristics of the distribution are apparent in the histogram, but not in the box plot? 2
Find the variance of the given table in the attached photo