1) Write down the item name and the manufacturer for each. Shampoos for damaged hair. 1. Garnier Fructis, 2. L'oreal, 3. Suave, 4. Aussie, 5. Dove, 6. Herbal Essense, 7. Clairol, 8. OGX, 9. Ren Pure, 10. Tresemme www 2) Next, pick a manufacturing company from your product choice as your success. Garnier Fructis 3) Now use your information to count the number of versions of your product that are made by the company of your choice. 2 4) Then count the total number of options of that product in the store. 10 5) Use this to calculate the probability of randomly picking one item from the company of your choice. That is, p(success) = # of your company products/total # products. 2/10=0.2 Now you need to run a binomial distribution based on the probability that if you were to send a friend to the store to randomly pick 5 different types of your product, what would the probabilities be of picking a product from your manufacturer. Round all probabilities to 3 decimal places. To do so, complete the table below: Complete the following: 1) Write a paragraph explaining what products you gathered your data from and what your statistics will be about. 2) Determine total number of products n= 3) Calculate the probability of picking one product made by your chosen company from above. p = P(1 product) = q=1-p= 4) Make the following binomial table, where column x =0,1,2,3,4,5. And p(x) is the probability of each event. P(x) x*p(x) X 0 1 2 3 4 5 Total 5) Complete a probability histogram of the date above using the x and p(x) column. 6) Complete the following questions: a) What is the probability that none of the product is from your company? b) What is the probability that more than one product is from your company? c) What is the probability that at least three products are from your company? d) What is the probability that at most two products are from your company? e) What is the probability that all of the 5 products are from your company? f) What is the average number of products from your company? g) Using the range rule of thumb for usual values, what are the lowest and highest number of products you would expect to pick?