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xxTIMURxx [149]
3 years ago
9

In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a rand

om 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. Identify the following information required to find the probability of people who do not like the taste of cilantro.
Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

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 : P(X=r)=^nC_rp^r q^{n-r}

P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}

P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}

P(X=6)=0.0019390

Hence  the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390

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