Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store. Each shopper was asked if they made a purchase during their visit. Each of the shoppers has the same probability of answering yes to having made a purchase. The probability that exactly four of the twenty-five shoppers made a purchase could best be found by?Select one:a.using the normal distribution.b.using the binomial distribution.c.using the Poisson distribution.d.using the exponential distribution.e.using the uniform distribution.

An internet research company surveyed 90 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary.Type of purchase Number of shoppersToys 28Electronics 24Beauty supplies 17Office supplies 21Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that all three of the shoppers purchased toys?Do not round your intermediate computations. Round your final answer to three decimal places.(If necessary, consult a list of formulas.)

A barber shop has two barbers and three chairs for customers. Assume that thecustomers arrive in Poisson fashion at a rate of 5 per hour and that each barberservices customers according to an exponential distribution with mean of 15minutes. Further if a customer arrives and there are no empty chairs in the shop,he will leave. Estimate the probability that the shop is empty

The food court at an amusement park has an ice cream shop. The shop has 17 customers arrive over 85 minutes.Use the Poisson distribution to find the probability that the shop has more than 1 arrival in a given minute.Do not round intermediate computations, and round your answer to three decimal places.(If necessary, consult a list of formulas.)

A total of 191 shoppers at a large suburban mall were asked two questions: 1. Did you see a TV ad for the sale at store M? 2. Did you shop at store M? 89 shoppers indicated they had seen the advertisement; 65 had seen the ad and did not shop at M; 94 shoppers had not shopped at M. One of the shoppers is chosen at random. What is the probability that the person saw the ad and shopped at M? ( 2 dec pl)

Suppose that 10% of the Victorians will answer a survey question when asked on the street. A researcher is on the street randomly and independently choosing people to ask a survey question. Let X represent the number of people who refuse to answer the survey when approached before the researcher encounters the first person who agrees to do the survey. Which one of the following distributions does random variable X follow?Select one:a.Negative binomial distributionb.Geometric distributionc.Poisson distributiond.Hypergeometric distribution