To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in six customers received the coupon. Eight customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon. What are the mean and standard deviation of X? Provide an interpretation for each value in context.  μx = 1.200 and σx = 0.980; If the store were to sell many clothing orders, the average number of coupons is 1.200 out of 8, and they will typically give between 0.153 and 2.133 coupons out of each 8 orders.  μx = 1.333 and σx = 1.054; If the store were to sell many clothing orders, an average of 1.333 customers per day will receive the coupon, and they will typically give between 0.236 and 2.336 discounts per day.  μx = 1.333 and σx = 1.054; If the store were to sell many clothing orders, the average number of coupons is 1.333 out of 8 customers, and they will typically give between 0.279 and 2.387 coupons out of each 8 orders.  μx = 1.200 and σx = 0.980; If the store were to sell many clothing orders, an average of 1.200 customers per day will receive the coupon, and they will typically give between 0.153 and 2.133 discounts per day.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in six customers received the coupon. Eight customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon. What are the mean and standard deviation of X? Provide an interpretation for each value in context.

 μx = 1.200 and σx = 0.980; If the store were to sell many clothing orders, the average number of coupons is 1.200 out of 8, and they will typically give between 0.153 and 2.133 coupons out of each 8 orders.

 μx = 1.333 and σx = 1.054; If the store were to sell many clothing orders, an average of 1.333 customers per day will receive the coupon, and they will typically give between 0.236 and 2.336 discounts per day. 

μx = 1.333 and σx = 1.054; If the store were to sell many clothing orders, the average number of coupons is 1.333 out of 8 customers, and they will typically give between 0.279 and 2.387 coupons out of each 8 orders.

 μx = 1.200 and σx = 0.980; If the store were to sell many clothing orders, an average of 1.200 customers per day will receive the coupon, and they will typically give between 0.153 and 2.133 discounts per day.

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