Licious, is a direct-to-consumer (D2C) fresh meat and seafood selling enterprise. Majority of its customer are millenials and are working professionals who find it difficult to step out of their homes to buy their meat and seafood produce. Suppose in a survey of 400 customers 40% are Not Millenials. Out of 400 customers 50% are working professionals. Number of Customers who are Millenials and working professionals are 150. Suppose a customer is selected at random, find P(Millenial/Working Professional) O a. 0.25 Ob. 0.75 OC. 0.55 O d. 0.35

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 69.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X= the number that reply "yes", X∼B(8,0.695).   (a) Construct the probability distribution function (PDF).

In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…

Delta Food Grocery has two grocery stores located in Bije City. One shop is located on Jalan Usman and the other on Jalan Sinda and each is run by a different manager. Every manager claims that his shop layout maximizes the number of impulsive customers. The two managers surveyed their sample of customers and asked them how much they were spending than they planned, in other words, how much they were spending on impulse (spending more than they planned). The following table shows sample data collected from the two shops. Jalan Usman  (Rp 000) Jalan Sinda   (Rp 000) 15.78 15.19 17.73 18.22 10.61 12.87 15.79 17.79 13.45 13.96 12.85 13.74   12.47   10.83 S1 = 2.5529 S2 = 2.5675     Top management at Delta Foods Grocery wanted to know if there was a difference in the mean amount of impulsive consumption between the two stores. Perform statistical analysis via: 1. Compile the null hypothesis and alternative hypothesis 2.…

Two ad agencies want to understand issues that are important to students. Agency A will interview 50 students whose names are randomly chosen from school enrollment data. Agency B will interview 50 randomly selected people from those who respond to a social media posting. Which method will produce a fair sample of the student population and why? Agency A, because students are convenient and easy to interview  Agency A, because names randomly selected from school data will be student names  Agency B, because people who respond to social media postings have strong opinions  Agency B, because people who respond to social media postings are usually students

Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship).  The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc.  The items are then given to an inspector for classification into “defective” and “non-defective” piles.  The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items.  The inspector classifies the remaining items in the sample correctly.  Find the following (answer as a probability, NOT a percentage. Use 3 decimal places.  Notice that alpha = 9/187, Beta = 11/33, and p = 33/220. P(inspector accepts the item and its actually non-defective) =

A local bank has two branches in a cty: one in the business center of the city and another-in a residential area. The bank's operations manager wants to Improve front-office employee scheduling during the lunch hour (12:00-13:00) period. The manager starts with studying the customer walting times at the two branches and collects data for two groups of 35 customers at each branch. Customers at the business-center branch walted on average 3.8 minutes, whle those at the residential branch waited 4.4 minutes on average, Assume that the population standard deviations are 1.8 (business-center branch) and 2.5 tresidential branch). a. Considering the real-ife problem, determine the point estimate of the unknown quantity that needs to be estimated. (Round to two decimal places.) b. Determine the critical value needed to compute a Bs confidence interval (Round to two decimal places.) c. Compute the confidence interval the operations manager would be interested in computing using the confidence…

Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship).  The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc.  The items are then given to an inspector for classification into “defective” and “non-defective” piles.  The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items.  The inspector classifies the remaining items in the sample correctly.  Find the following (answer as a probability, NOT a percentage. Use 3 decimal places: What is the proportion of accepted items that are actually defective (escapes)?

2) The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine.  158,045 of the 165,000 dogs examined had their rabies shots.  Risk no more than 5% Type I error.  What is the P^? (round to nearest thousandth)