Find the indicated probability. Suppose that 14% of people are left handed If 8

Question

Find the indicated probability. Suppose that 14% of people are left handed If 8 people are selected at random, what is the probability that exactly 2 of them are left handed? 0.0723 0.444 0.0196 0.222 Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Spinning a roulette wheel 10 times, keeping track of the winning numbers. Procedure results in a binomial distribution. Not binomial there are more than two outcomes for each trial. Not binomial the trials are not independent. Not binomial there are too many trials.

Explanation / Answer

1) the answer is "D"

Bionomialproblem with n=8
P(left)=0.14,
P(right)=1-0.14
=0.86
P(x=2)= 8C2*0.14^2*0.86^6
=28*0.0196*0.404567235
=0.222026499

The probability of exactly 2 them are 0.222026499

2) the answer is "b"

Not bionomial because there are more outcomes of each trial.Binomial distributions only work when two choices are available, heads or tails on a coin, True or False on a test. A roulette wheel has multiple numbers (more than 2), 3 colors (red, black, and green) so could not be modeled as a binomial distribution.

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