Answer:
Given:
Probability of success $(p) = \frac{1}{3} = 0.3333 $
Sample size $(n) = 15 $
Solution:
The probability that x is equal to 7:
$P(x = 7) = \binom{15}{7} \cdot 0.3333^7 \cdot (1 – 0.3333)^{15-7} = 0.1148$
Final Answer:
The probability that x is equal to 7 = 0.1148