Amarket research firms conducts studies regarding the success of new products. the company is not always perfect in predicting the success. suppose that there is a 50% chance that any new product would be successful (and a 50% chance that it would fail). in the past, for all new products that ultimately were successful, 80% were predicted to be successful (and the other 20% were inaccurately predicted to be failures). also, for all new products that were ultimately failures, 70% were predicted to be failures (and the other 30% were inaccurately predicted to be successes). for any randomly selected new product, what is the probability that the market research firm would predict that it would be a success?

Our required probability is 0.7273.

Step-by-step explanation:

Since we have given that

                                Actually successful   Actually failure   Total

Predicted successful                0.4                  0.15            0.55

Predicted failure                        0.1                  0.35             0.45

Total                                           0.5                  0.50                 1

Probability that the market research firm would predict that it would be success.

P(Actual success|Predicted success) is given by

Hence, our required probability is 0.7273.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

b because it contains 40% of the possible results from the random list.  

0,1,2,3 v 4,5,6,7,8,9  

4 integers to 6 integers  

40% success vs 60% fail

step-by-step explanation: