Respuesta :
The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .
The complete question is
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.
What is Probability ?
Probability is the measure of likeliness of an event to happen.
The probability given is
p = 54% = 0.54
n =8
r = 6
The binomial Probability is given by
[tex]\rm P(x) = ^n C_r p^r q^{n-r}[/tex]
The probability that exactly 6 people use smartphones in a class of 8 student is given by
[tex]P(x) = \dfrac{n!}{r! (n-r)!} p^r q^{n-r}[/tex]
Here q represents the complement
q = 1 -p
q = 1-0.54 = 0.46
[tex]P(6) = \dfrac{8!}{6! (2)!} 0.54^6 0.46^{2}\\\\\P(6) = \dfrac{8 * 7}{ 2} 0.54^6 0.46^{2}\\\P(6) = 0.147[/tex]
Therefore The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .
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