Type the correct answer in the box. Use numerals instead of words. Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams.

What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent.

89% of pebbles weigh more than 2.1 grams.

Step-by-step explanation:

Given that

Mean = 2.6

SD = 0.4

As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first

Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1

So,

This gives us the probability of P(z<-1.25) or P(x<2.1)

To find the probability of pebbles weighing more than 2.1

Converting into percentage

Rounding off to nearest percent

89%

Hence,

89% of pebbles weigh more than 2.1 grams.

f

step-by-step explanation:

f

c

step-by-step explanation: