Question

Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find
the probability that at least 5 of them use their smartphones in meetings or classes.
The probability is
(Round to four decimal places as needed

Answer 1

The probability that at least 5 of them use their smartphones in meetings or classes will be 0.34.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The number of combinations of 5 out of 10:

$^{10}C_4=\dfrac{10!}{5!(10-5)!}=\dfrac{10!}{5!\times 5!}\\\\\\^{10}C_4=\dfrac{10\times 9\times 8\times 7\times 6}{5\times 4\times 3\times 2}\\\\\\^{10}C_4=252$

The Success factor is:

57% = 0.57

The failure factor is:

(100 - 57)%= 43%= 0.43

So the Probability will be :

0.57⁵  x  0.43⁵  x   252  ≈   0.34

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