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.)

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 7 shirts, 5 pants and 10 t-shirts. If he selects three clothes at random, then find the probability that, randomly chosen clothes are of different type. (Enter the answer correct to three decimal places)

A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer who purchased hiking shoes and recorded the shoe brand and the customer's level of happiness.The probability that a customer purchased a Toe-tastic shoe is 0.64, the probability that a customer is very pleased is 0.36, and the probability that a customer purchased a Toe-tastic shoe or is very pleased is 0.69.What is the probability that a randomly chosen customer purchased a Toe-tastic shoe and is very pleased?Write your answer as a whole number, decimal, or simplified fraction.

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.

A club with 50 college students is doing volunteer work this semester. Each student is volunteering at one of four locations. Here is a summary.Location Number of studentsNursing home 14Soup kitchen 15Hospital 8Pet shelter 13Three students from the club are selected at random, one at a time without replacement. What is the probability that none of the three students volunteer at the hospital?Do not round your intermediate computations. Round your final 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)