(d) A smartphone company receives shipments of smartphones from three factories, labelled,1, 2 and 3. Twenty-five percent of shipments come from factory 1 whose shipmentscontain 8% defective smartphones. Sixty-five percent of the shipments come from factory2 whose shipments contain 6% defective smartphones. The remainder of the shipmentsdefectivecomes from factory 3 whose shipments contain 4% smartphones. The company receivesa shipment, but does not know the source.A random sample of 15 smartphones isinspected, and three of the smartphones are found to be defective. What is the probabilitythat this shipment came from factory 2? 2. (a) Consider three classes, each consisting of 20 students. From this group of 60 students, agroup of 3 students is to be chosen.i. What is the probability that all 3 students are in the same class?ii. What is the probability that 2 of the 3 students are in the same class and the otherstudent is in a different class?(b) In a new casino game, two balls are chosen randomly from an urn containing 8 white, 4black, and 2 orange balls to see if you will win any money. Suppose that you win $2 foreach black ball selected, you lose $1 for each white ball selected, and you get nothing foreach orange ball selected. If the casino lets you play this new casino game with no entryfee, what is the probability that you will not lose any money?(c) A survey was conducted on lawyers at two different law firms about their annual incomes.The following table displays data for the 275 lawyers who responded to the survey.Annual IncomeLaw Firm 1 Law Firm 2 TotalUnder $45,000302050$45,000 to $89,999354075$90,000 and over10050150ТОTAL1651102752Suppose we choose a random lawyer who responded to the survey. Are the events "incomeis under $45,000" and "employed at Law Firm 2" independent?

Name: (d) A smartphone company receives shipments of smartphones from three
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: (d) A smartphone company receives shipments of smartphones from three factories, labelled,1, 2 and 3. Twenty-five percent of shipments come from factory 1 whose shipmentscontain 8% defective smartphones. Sixty-five percent of the shipments come from