Answer:
0.0019390
Step-by-step explanation:
10% of people do not like the taste of cilantro
A researcher takes a random sample of 15 people and surveys whether they like cilantro
Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.
Probability of success = 0.10 = p
Probability of failure = 0.9 =q
n = 15
r = 6
Formula : [tex]P(X=r)=^nC_rp^r q^{n-r}[/tex]
[tex]P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}[/tex]
[tex]P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}[/tex]
[tex]P(X=6)=0.0019390[/tex]
Hence the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390
