Answer: 0.951%
Explanation:Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.
Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by
Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).
Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by
Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or
0.951%.
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There are a lot of rational number between 7.7 and 7.9, but the problem asked to find only one ratio number, so I will choose one which is 7.8. 7.8 is a rational number because ration number means that it can change into a fraction or improper fraction.
Now, let's change 7.8 into the fraction
First of all, change this into mixed number:
7.8
=7 8/10
=7 4/5
Then, change this into improper fraction.
Step 1:
Numerators:
7×5+4=39
Step 2:
Denominator
5, so your final answer will be 39/5. Hope it help!