Question

The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. If a strawberry is randomly selected, what is the probability that the strawberry weighs less than 10 grams? A. .1587 B. .2119 C. .2420 D. .1251

Answer 1

Answer: b, .2119

Explanation:

Answer 2

Let X be a random variable representing the weight of strawberries.

μ= 12

σ=​ 2.5

Solution:

P(X < 10) = P(z < (10 - 12)/2.5)

= P(z < -2/2.5)

= P(z < -0.8)

= 1 - P(z < 0.8)

= 1 - 0.7881

= 0.2119

The answer is letter B.