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.

floymdiT

floymdiT

Answered question

2020-10-21

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.

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2020-10-22Added 102 answers

So we have:
p=54%=0.54
n=8
Definiton binomial probability:
P(X=x)=n!x!(nx)!px(1p)nx
Complement rule:
P(¬A)=1P(A)
Addition rule for events that are disjoint or mutually exclusive:
P(AorB)=P(A)+P(B)
Evaluate the definition of binomial probability at x=6:
P(X=6)=8!6!(86)!0.546(10.54)86=280.5460.4620.1469
Result 0.1469

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