Question

The probability of success is 0.6 for each trial. Find the probability of each:

Answer 1

Answer:

1. 0.1367

2. 0.0709

3. 0.1766

Step-by-step explanation:

The probability of success is p=0.6, then the probability of a failure is q=1-0.6=0.4.

1. The probability that there are exactly 13 successes in 24 trials is

$C^{24}_{13}p^{13}q^{24-13}=\dfrac{24!}{13!(24-13)!}\cdot (0.6)^{13}\cdot (0.4)^{11}\approx 0.1367$

2. The probability that there are exactly 9 successes in 20 trials is

$C^{20}_{9}p^{9}q^{20-9}=\dfrac{20!}{9!(20-9)!}\cdot (0.6)^{9}\cdot (0.4)^{11}\approx 0.0709$

3. The probability that there are exactly 6 failures in 12 trials is

$C^{12}_{6}q^{6}p^{12-6}=\dfrac{12!}{6!(12-6)!}\cdot (0.4)^{6}\cdot (0.6)^{6}\approx 0.1766$