Question

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 8. Find the mean for the number of seeds germinating in each batch.

a) 7.2
b) 5.6
c) 5.68
d) 2.4

Answer 1

The mean for the number of radish seeds germinating in each batch of 8, given a germination probability of 0.7, can be calculated using the binomial distribution formula, which gives a result of 5.6 seeds per batch.

Step-by-step explanation:

The probability that a radish seed will germinate is 0.7. When a gardener plants seeds in batches of 8, we are dealing with a binomial distribution where each seed's germination is an independent event. The mean of a binomial distribution is given by the formula n * p, where n is the number of trials, and p is the probability of success on a single trial.

To find the mean number of seeds germinating in each batch:

• Identify the number of trials (n), which in this case is 8.
• Identify the probability of success (p), which is 0.7.
• Apply the formula: mean = n * p = 8 * 0.7 = 5.6.

Therefore, the mean for the number of seeds germinating in each batch is 5.6. The correct answer is (b) 5.6.