Assume that a procedure yields a binomial distribution with n=2 trials and a probability of success...

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Assume that a procedure yields a binomial distribution with n=2 trials and a probability of success...

Assume that a procedure yields a binomial distribution with n=2 trials and a probability of success of p=0.40. Use a binomial probability table to find the probability that the number of successes x is exactly 1

math Statistics-And-Probability

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Answer 1

Answer #1

Use the table with n=2 and p = 0.4

q = 1 - p = 0.6

The probability is given by:

$^{2}C_{2}p^{2}q^{0}+ ^{2}C_{1} p^{1}q^{1}+^{2}C_{0}p^{0}q^{2}$

Any number raised to the power 0 is 1.

This simplifies to:

$p^{2}+2*p*q+q^{2} = (04)^{2}+2(0.4)(0.6)+(0.6)^{2}=0.16+0.48+0.36 = 1$

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Answer 2

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