Answer: P(x < 3) = 0.0096
Step-by-step explanation:
We would assume a binomial distribution for the number of adults that use their smart phones in meetings or classes. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 54% = 54/100 = 0.54
q = 1 - p = 1 - 0.54
q = 0.46
n = 12
P(x < 3) = P(x = 0) + P(x = 1) + P(x = 2)
Therefore,
P(x = 0) = 12C0 × 0.54^0 × 0.46^(12 - 0) = 0.0000897
P(x = 1) = 12C1 × 0.54^1 × 0.46^(12 - 1) = 0.0013
P(x = 2) = 12C2 × 0.54^2 × 0.46^(12 - 2) = 0.0082
Therefore,
P(x < 3) = 0.0000897 + 0.0013 + 0.0082 = 0.0096
