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Novay_Z [31]
2 years ago
10

Camille's Seed Haven claims that 90% of its sunflower seeds will germinate. Suppose the company's claim is true. Seth buys a pac

ket with 30 sunflower seeds from Camille's Seed Haven and plants them in his garden. What is the probability that exactly 23 seeds will germinate?
A. 0.9820
B. 0.0258
C. 0.0180
D. 0.9742
E. 0.9922
Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

Answer: C. 0.0180

Step-by-step explanation:

Let x be the binomial variable that represents the number of seeds will germinate with parameter

n= 30 (Number of trials)

p=0.90  (Probability of success in each event)

Binomial probability formula :

Probability of getting success in x trials : P(X=x)=^nC_xp^x(1-p)^{n-x}

For x= 23 , we have

P(X=23)=^{30}C_{23}(0.90)^{23}(0.10)^{7}\\\\=\dfrac{30!}{23!(30-23)!}(0.90)^{23}(0.10)^7

Simplify

P(x=23)=0.018043169424\approx0.0180

Hence, the probability that exactly 23 seeds will germinate = 0.0180

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