Question

Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10 are planted?

Answer 1

Answer: The probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .

Step-by-step explanation:

Let x be the number of seeds germinate .

Since each seed is independent from other , so we can use binomial over here.

Binomial probability formula : $P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n= total trails and p is the probability of each success.

As per given : p= 0.85  , n= 10

Then, the probability that 7 of these seeds will germinate when 10 are planted will be :-

$P(X=7)=^{10}C_7(0.85)^7(1-0.85)^3\\\\=\dfrac{10!}{7!3!}(0.85)^7(0.15)^3\\\\=0.129833720754\approx0.1298$

Hence, the probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .