Question: Problem 1 (10 points) In this problem, we will analyze basic probability concepts. For each calculation provide your answer and explain how you made the
Problem 1 (10 points)
In this problem, we will analyze basic probability concepts. For each calculation provide your answer and explain how you made the calculation. You may show a formula, an Excel formula, a table, or describe textually. Your goal is to explain your approach clearly and succinctly. Do the following:
Recently Apple announced the new iPhone 14 Pro, and iPhone 14 Pro Max. They are offered with a number of options including
o Four Colors: Space Black, Silver, Gold, and Deep Purple o Four Capacities: 128 GB, 256GB, 512 GB, and 1TB o 4 Carriers (AT&T, Sprint, T-Mobile. Verizon)
At the same time, they announced the iPhone 14 and iPhone 14 Plus with the following options:
o Five Colors: Midnight, Purple, Starlight, Red, and Blue. o 3 Capacities: 128GB, 256GB, and 512GB o 4 Carriers (AT&T, Sprint, T-Mobile. Verizon)
Based on this information calculate the total number of new configurations available.
Calculate the total number of configurations available ignoring the carrier.
A retailer wants to display 5 phones in an interactive display.
o Calculate the total number of ways the retailer can select phone configurations for the display, ignoring carrier and order.
o Recalculate the number of ways the phones can be displayed if order of display matters.
Assume that a battery defect effects 1% of the phones. Calculate the following probabilities for the 5 display phones:
o None of the phones have the defect o Exactly one of the phones has the defect. o The set of 5 phones has 1 or less defects.
Now assume the retailer wants to stock 20 phones of each Pro configuration and 25 of each non-Pro configuration for each of the 4 carriers. Based on this population, calculate the following:
o The total number of phones to stock o The probability a randomly selected iPhone is Silver. o The probability a randomly selected iPhone is Red. o The probability a randomly selected iPhone is an iPhone 14 Pro given
that it is Gold. o The probability a randomly selected iPhone is an iPhone 14 Plus given
that it is has a 512 GB capacity.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
Study Help