Grady Turner

2021-11-26

Martian potatoes begin to sprout very quickly after planting. Suppose X is the number of days after planting until a Martian potato sprouts. Then X has the following probability density function:

a) What is the probability that X is within 1 standard deviation of its expected value?

b) What is the probability that

Novembruuo

Beginner2021-11-27Added 26 answers

Step 1

a) From the given information, the probability density function for X is,

Step 2

Consider,

Step 3

Therefore,

The probability that X is within 1 standard deviation of its expected value is 0.8810 and it is calculated below: