A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes.Number of Salesf(x) =X0120314234TotalRecords show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial probability distribution. The binomial probability functionpresented in Chapter 5 isn!x!(n - x)!For this exercise, assume that the population has a binomial probability distribution with n = 4, p = 0.30, and x = 0, 1, 2, 3, and 4.(a) Compute the expected frequencies for x = 0, 1, 2, 3, and 4 by using the binomial probability function.ExpectedFrequencies0.24010.2646Observed Frequency0.0708(days)p*(1-P)^-x.X32332663100

According to the given information,Total frequency, N = 100The population has a binomial probability…

Answered: A salesperson makes four calls per day.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The television show Lost has been successful for many years. That show recently had a share of 24, meaning that among the TV sets in use, 24% were tuned to Lost. Assume that an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a Lost broadcast.Find the probability that none of the households are tuned to Lost.P(none) = Find the probability that at least one household is tuned to Lost.P(at least one) = Find the probability that at most one household is tuned to Lost.P(at most one) = If at most one household is tuned to Lost, does it appear that the 24% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lost unusual?) yes, it is wrong no, it is not wrong
A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.03 0.01 0.03 1 0.01 0.04 0.04 0.05 2 0.03 0.02 0.04 0.68 What is the expected total number of staff (waiters and chefs) that will show up on any given day?
Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yes
What is the probability that a randomly selected rating is more than 3 stars? P(X>3)?
A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows. Activity Activity Time (weeks) Probability B с 5 6 7 8 3 5 7 10 12 14 16 18 8 10 0.30 ***E 0.35 0.20 0.15 0.25 0.50 0.25 0.10 0.25 0.45 0.15 0.05 0.65 0.35 (a) Construct a spreadsheet simulation model to estimate the average length of the project (in weeks) and the standard deviation of the project length. (Use at least 1,000 trials. Round you answers to one decimal place.) average weeks standard deviation weeks
A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 5.41% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = The probability that, given a positive result, the person has disease X =
Assume that 12 jurors are randomly selected from a population in which 79% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0007 5 0.0044 6 0.0193 7 0.0621 8 0.146 9 0.2442 10 0.2756 11 0.1885 12 0.0591 Find the probability of exactly 6 Mexican-Americans among 12 jurors.P(x=6)? Find the probability of 6 or fewer Mexican-Americans among 12 jurors.P(x≤6)=?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X p(x) 11.5 14.9 20.1 0.2 0.5 0.3 (a) Calculate the mean (in cubic feet) of x. cubic feet Calculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.) cubic feet (b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer? $ (c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.) $
3

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