Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. Round to 5 decimal places.

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

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?