If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?

The probability that exactly 2 don't grow is 0.075 or 7.5%

Step-by-step explanation:

Binomial Distribution

Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

Where  

Is the number of combinations:

For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.

The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.

Apply the formula:

The probability that exactly 2 don't grow is 0.075 or 7.5%

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

a c

step-by-step explanation: