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3 years ago

Help please!!!

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Navy

1/4 of 100 is twenty five so we know the percent is 25%

Writing a percent as a decimal is easy just put a period in front of the number so the decimal is 0.25

The fraction is right there

Brown

Percent-35%

decimal- figure it out

Fraction- 7/20

Black

Percent- duh

Decimal-0.2

Fraction-1/5

Other

Percent-20%

Decimal- 0.2

Fraction- 1/5

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$P(x \ \textless \ 3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \ 3) \approx 0.00951836732 }
$

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.

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