149k views
3 votes
Eric wants to go skiing​ tomorrow, but only if there are 2 inches or more of new snow. According to the weather​ report, any amount of new snow between 1 inch nothing and 6 inches is equally likely. The probability density curve for​ tomorrow's new snow depth is shown. Find the probability that the new snow depth will be two inches or more tomorrow. Copy the​ graph, shade the appropriate​ area, and calculate its numerical value to find the probability. The total area is 1

What is the probability that there will be 2 or more inches of new snow?

User Toofy
by
7.4k points

1 Answer

5 votes

Final answer:

To find the probability of getting at least 2 inches of snow, shade the area under the probability density curve from 2 inches to 6 inches and calculate the numerical value of this shaded area.

Step-by-step explanation:

To find the probability that there will be 2 or more inches of new snow, we need to calculate the shaded area under the probability density curve. In this case, the shaded area represents the probability of getting at least 2 inches of snow.

First, we need to shade the area under the curve from 2 inches to 6 inches. Then, we calculate the numerical value of this shaded area.

The total area under the curve is 1, so the probability that there will be 2 or more inches of new snow is equal to the shaded area.

User Sigfried
by
8.0k points