Question

Thirty-seven percent of all light emitting diode (LED) displays are manufactured by Samsung. What is the probability that in a collection of three independent LED HDTV purchases, at least one is a Samsung? (Round your answer to 3 decimal places.)

Answer 1

Probability of success ( p ) = 37% = 0.37

Number of trials = 3

Number of success = 1

we want to find P( x 1)

formula for probability of binomial distribution is

p(X=x) = nCx * Px * (1 - P )n-x

P( x 1) = P(x=1) + P(x=2) + P(x=3)

P( x 1) = 3C1 * 0.371 * ( 1 - 0.37)3-1 +  3C2 * 0.372 * ( 1 - 0.37)3-2 + 3C3 * 0.373 * ( 1 - 0.37)3-3

P( x 1) = 0.4406+0.2587+0.0507

P( x 1) = 0.75

probability that in a collection of three independent LED HDTV purchases= 0.75

Answer= 0.75