# Statistical Analysis (Normal Distribution)

**Question description**

**Bass:** The bass in Clear Lake have weights that are normally distributed with a mean of 2.3 pounds and a standard deviation of 0.6 pounds.

**Round your answer to 4 decimal places.**

(b) If you catch one random bass from Clear Lake, find the probability that it weighs more than 3 pounds?

**Round your answer to 4 decimal places.**

(c) If you catch one random bass from Clear Lake, find the probability that it weighs between 1 and 3 pounds?

**Round your answer to 4 decimal places.**

**Bass:** The bass in Clear Lake have weights that are normally distributed with a mean of 2.6 pounds and a standard deviation of 0.9 pounds.

(a) Suppose you only want to keep fish that are in the top 20% as far as weight is concerned. What is the minimum weight of a keeper? **Round your answer to 2 decimal places. **

pounds

(b) Suppose you want to mount a fish if it is in the top 0.5% of those in the lake. What is the minimum weight of a bass to be mounted? **Round your answer to 2 decimal places. **

pounds

(c) Determine the weights that delineate the middle 95% of the bass in Clear Lake. **Round your answers to 2 decimal places. **

from to pounds

**How Laude?**Many educational institutions award three levels of Latin honors often based on GPA. These are

*cum laude*(with high praise),

*magna cum laude*(with great praise), and

*summa cum laude*(with highest praise). Requirements vary from school to school. Suppose the GPAs at State College are normally distributed with a mean of 2.9and standard deviation of 0.41.

(a) Suppose State College awards the top 2% of students (based on GPA) with the *summa cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

(b) Suppose State College awards the top 10% of students (based on GPA) with the *magna cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

(c) Suppose State College awards the top 20% of students (based on GPA) with the *cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

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