#273 A manufacturer of laundry detergent has introduced
A manufacturer of laundry detergent has introduced - Math
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A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. In a survey of 1500 randomly selected adults, of the 225 who had tried the new product, 150 had seen the ad, while of the 1275 who had not tried the product only 375 had seen the ad. Use this given information to complete the contingency table below. In the discussion, these numbers will be listed problem 6 a. through i.
For parts j -m, show the appropriate calculation and give answers rounded to 2 decimal places.
j. Find the probability that a randomly chosen customer would have seen advertising for the new product
k. Find the probability that a randomly chosefi customer would have tried the new product
l. Find the probability that a randomly chosen customer would have seen advertising for the product
m. Given that a randomly chosen customer has seen the product advertised, find the new product and tried the product probability that the person has tried the product.
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Free Chegg Answer
Let us see the compute the following table:
Yes | No | Total | |
Seen the Ad | a. 150 | b. 75 | c. 225 |
Have not see the add | d. 900 | e. 375 | f. 1275 |
Total | g. 1050 | h. 450 | i. 1500 |
j) Probability that a randomly choosen customer would have seen advertising for the new product:
= (150 + 375)/1500 = 0.35
k) Probability that a randomly choosen customer would have tried the new product :
= 225/1500 = 0.15
l) Probability that a randomly choosen customer would have seen advertising for the new product and tried it:
= 150/1500 = 0.10
m) Given that a random;y choosen customer has seen the product advertised, the probability that the person has tried the product:
= 150/(150 + 375) = 0.29
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