Answer:
0.9032
Step-by-step explanation:
Given that:
mean (μ) = 146 grams and standard deviation (σ) = 2.3 grams
The z score is a measurement used in statistics to calculate how far a value is from the mean in a normal distribution. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the baseball not to weigh more than 149 grams i.e x = 149 g
[tex]z=\frac{x-\mu}{\sigma}=\frac{149-146}{2.3} =1.30[/tex]
From the probability distribution table, P(x < 149) = P(z < 1.30) = 0.9032 = 90.32%
