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
[tex]C^{24}_{13}p^{13}q^{24-13}=\dfrac{24!}{13!(24-13)!}\cdot (0.6)^{13}\cdot (0.4)^{11}\approx 0.1367[/tex]
2. The probability that there are exactly 9 successes in 20 trials is
[tex]C^{20}_{9}p^{9}q^{20-9}=\dfrac{20!}{9!(20-9)!}\cdot (0.6)^{9}\cdot (0.4)^{11}\approx 0.0709[/tex]
3. The probability that there are exactly 6 failures in 12 trials is
[tex]C^{12}_{6}q^{6}p^{12-6}=\dfrac{12!}{6!(12-6)!}\cdot (0.4)^{6}\cdot (0.6)^{6}\approx 0.1766[/tex]
