Answer: P(6/7G) = 729⁄16384 = 0.044
The probability of having exactly six seeds germinate is 0.044
Complete Question:
A certain seed has 75% germination rate. Of seven seeds are planted, find the probability of having exactly six seeds germinate.
Step-by-step explanation:
The probability that a seed will germinate is
P(G) = 0.75
The probability that a seed will not germinate is
P(G') = 1-0.75 = 0.25
Therefore the probability that only 6 will germinate can be written as;
P(6/7G) = the probability that 6 seed germinate × the probability that one seed will not geminate
P(6/7G ) =[ P(G)]^6 ×[ P(G')]
P(6/7G) = 0.75^6 × 0.25
P(6/7G) = 729⁄16384 = 0.044
